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  • Euclid's Elements
  • Mathematical treatise by Euclid

    The Elements (Ancient Greek: Στοιχεῖα Stoikheîa) is a mathematical treatise written c. 300 BC by the Ancient Greek mathematician Euclid. The Elements is

    Euclid's Elements

    Euclid's Elements

    Euclid's_Elements

  • Euclid
  • Ancient Greek mathematician (fl. 300 BC)

    conflated the two Euclids, as did printer Erhard Ratdolt's 1482 editio princeps of Campanus of Novara's Latin translation of the Elements. After the mathematician

    Euclid

    Euclid

    Euclid

  • Parallel postulate
  • Geometric axiom

    In geometry, the parallel postulate is the fifth postulate in Euclid's Elements and a distinctive axiom in Euclidean geometry. It states that, in two-dimensional

    Parallel postulate

    Parallel postulate

    Parallel_postulate

  • Euclidean geometry
  • Mathematical model of the physical space

    system attributed to Euclid, an ancient Greek mathematician, which he described in his textbook on geometry, Elements. Euclid's approach consists in assuming

    Euclidean geometry

    Euclidean geometry

    Euclidean_geometry

  • Pythagorean theorem
  • Relation between sides of a right triangle

    mathematics." Around 300 BC, in Euclid's Elements, the oldest extant axiomatic proof of the theorem is presented, along with Euclid's formula for generating all

    Pythagorean theorem

    Pythagorean theorem

    Pythagorean_theorem

  • Euclid's theorem
  • Infinitely many prime numbers exist

    proven by Euclid in his work Elements. There are at least 200 proofs of the theorem. Euclid offered a proof in his work Elements (Book IX, Proposition 20)

    Euclid's theorem

    Euclid's_theorem

  • Euclid's lemma
  • On prime factors of integer products

    prime elements, a generalization of prime numbers to arbitrary commutative rings. Euclid's lemma shows that in the integers irreducible elements are also

    Euclid's lemma

    Euclid's lemma

    Euclid's_lemma

  • Reductio ad absurdum
  • Argument that leads to a logical absurdity

    2014-05-18. Retrieved 2021-08-31. Joyce, David (1996). "Euclid's Elements: Book I". Euclid's Elements. Department of Mathematics and Computer Science, Clark

    Reductio ad absurdum

    Reductio ad absurdum

    Reductio_ad_absurdum

  • Proclus
  • 5th-century Greek Neoplatonist philosopher

    Commentary on the First Book of Euclid's "Elements" Proclus (1970). A Commentary on the First Book of Euclid's Elements. Princeton, N.J.: Princeton University

    Proclus

    Proclus

    Proclus

  • Treatise
  • Formal and systematic written discourse on some subject

    influential by scholars on the development of human civilization. Euclid's Elements has appeared in more editions than any other books except the Bible

    Treatise

    Treatise

    Treatise

  • Mathematics
  • Field of knowledge

    mathematical rigor began in Ancient Greek mathematics, exemplified in Euclid's Elements. Mathematics was primarily divided into geometry and arithmetic until

    Mathematics

    Mathematics

    Mathematics

  • Element
  • Topics referred to by the same term

    an integral Euclid's Elements, a mathematical treatise on geometry and number theory An entry, or element, of a matrix Classical elements, ancient beliefs

    Element

    Element

  • Fundamental theorem of arithmetic
  • Integers have unique prime factorizations

    measure the product, it will also measure one of the original numbers. — Euclid, Elements Book VII, Proposition 30 (In modern terminology: if a prime p divides

    Fundamental theorem of arithmetic

    Fundamental theorem of arithmetic

    Fundamental_theorem_of_arithmetic

  • Ancient Greek mathematics
  • Mathematics of Ancient Greece and the Mediterranean, 5th BC to 6th AD

    mid-fifth century BC, but the earliest complete work on the subject is Euclid's Elements, written during the Hellenistic period. The works of renowned mathematicians

    Ancient Greek mathematics

    Ancient Greek mathematics

    Ancient_Greek_mathematics

  • Vesica piscis
  • Shape that is the intersection of two circles with the same radius

    dimensions is the lemon. This figure appears in the first proposition of Euclid's Elements, where it forms the first step in constructing an equilateral triangle

    Vesica piscis

    Vesica piscis

    Vesica_piscis

  • Oliver Byrne (mathematician)
  • Irish engineer & author (1810–1880)

    geometry, and engineering. He is best known for his 'coloured' book of Euclid's Elements. He was also a large contributor to Spon's Dictionary of Engineering

    Oliver Byrne (mathematician)

    Oliver Byrne (mathematician)

    Oliver_Byrne_(mathematician)

  • History of algebra
  • Diagrams from Euclid". University of British Columbia. Retrieved 2008-09-26. (Boyer 1991, "Euclid of Alexandria" p.109) "Book II of the Elements is a short

    History of algebra

    History_of_algebra

  • Hypsicles
  • Ancient Greek mathematician and astronomer (c. 190–120 BC)

    authoring On Ascensions (Ἀναφορικός) and possibly the Book XIV of Euclid's Elements. Hypsicles lived in Alexandria. Although little is known about the

    Hypsicles

    Hypsicles

  • Euclid's Data
  • Geometry treatise

    The subject matter is closely related to the first four books of Euclid's Elements. The book contains 15 definitions and 94 propositions. Greek text

    Euclid's Data

    Euclid's_Data

  • Foundations of geometry
  • Study of geometries as axiomatic systems

    mathematician Euclid, which he described (although non-rigorously by modern standards) in his textbook on geometry: the Elements. Euclid's method consists

    Foundations of geometry

    Foundations_of_geometry

  • Euclidean algorithm
  • Algorithm for computing greatest common divisors

    It is named after the ancient Greek mathematician Euclid, who first described it in his Elements (c. 300 BC). It is an example of an algorithm, and is

    Euclidean algorithm

    Euclidean algorithm

    Euclidean_algorithm

  • Henry Billingsley
  • English scholar and alderman (c. 1538–1606)

    notes on Euclid's Elements, which he had with great pains drawn up and digested. Afterwards our author Billingsley translated the said Elements into English

    Henry Billingsley

    Henry_Billingsley

  • Playfair's axiom
  • Modern formulation of Euclid's parallel postulate

    to L, since all interior angles are right angles, and there is in Euclid's Elements a proof, using the additional axiom, that L and the additional line

    Playfair's axiom

    Playfair's axiom

    Playfair's_axiom

  • Law of cosines
  • Generalization of Pythagorean theorem

    explained by the side-side-angle congruence ambiguity. Book II of Euclid's Elements, compiled c. 300 BC from material up to a century or two older, contains

    Law of cosines

    Law of cosines

    Law_of_cosines

  • Transversal (geometry)
  • Line intersecting 2 coplanar lines at 2 points

    of each of the other pairs are also congruent. Proposition 1.27 of Euclid's Elements, a theorem of absolute geometry (hence valid in both hyperbolic and

    Transversal (geometry)

    Transversal (geometry)

    Transversal_(geometry)

  • Line (geometry)
  • Straight figure with zero width and depth

    which is a part of a line delimited by two points (its endpoints). Euclid's Elements defines a straight line as a "breadthless length" that "lies evenly

    Line (geometry)

    Line (geometry)

    Line_(geometry)

  • Straightedge and compass construction
  • Method of drawing geometric objects

    constructions are those granted by the first three postulates of Euclid's Elements. It turns out to be the case that every point constructible using

    Straightedge and compass construction

    Straightedge and compass construction

    Straightedge_and_compass_construction

  • Ratio
  • Relationship between two numbers of the same kind

    until the 16th century. Book V of Euclid's Elements has 18 definitions, all of which relate to ratios. In addition, Euclid uses ideas that were in such common

    Ratio

    Ratio

    Ratio

  • Euclidean distance
  • Length of a line segment

    the ancient Greek mathematicians Euclid and Pythagoras. In the Greek deductive geometry exemplified by Euclid's Elements, distances were not represented

    Euclidean distance

    Euclidean distance

    Euclidean_distance

  • Euclid and His Modern Rivals
  • Mathematical book by Lewis Carroll

    to or functionally identical to Euclid's Elements. In it, Dodgson supports using Euclid's geometry textbook The Elements as the geometry textbook in schools

    Euclid and His Modern Rivals

    Euclid and His Modern Rivals

    Euclid_and_His_Modern_Rivals

  • Thales's theorem
  • On triangles inscribed in a circle with a diameter as an edge

    mentioned and proved as part of the 31st proposition in the third book of Euclid's Elements. It is generally attributed to Thales of Miletus, but it is sometimes

    Thales's theorem

    Thales's theorem

    Thales's_theorem

  • Curve
  • Mathematical idealization of the trace left by a moving point

    This is the definition that appeared more than 2000 years ago in Euclid's Elements: "The [curved] line is […] the first species of quantity, which has

    Curve

    Curve

    Curve

  • Euclidean space
  • Fundamental space of geometry

    of geometry, intended to represent physical space. Originally, in Euclid's Elements, it was the three-dimensional space of Euclidean geometry, but in

    Euclidean space

    Euclidean space

    Euclidean_space

  • Quadrivium
  • Liberal arts of arithmetic, geometry, music and astronomy

    Médiévales. pp. 18–19. Proclus. A Commentary on the First Book of Euclid's Elements, xii. trans. Glenn Raymond Morrow. Princeton: Princeton University

    Quadrivium

    Quadrivium

    Quadrivium

  • Square
  • Shape with four equal sides and angles

    1007/s00591-016-0173-0. MR 3629442. Euclid's Elements, Book I, Proposition 47. Online English version by David E. Joyce. Euclid's Elements, Book VI, Proposition 31

    Square

    Square

    Square

  • Trapezoid
  • Convex quadrilateral with at least one pair of parallel sides

    a parallelogram; this definition is also exclusive and is used in Euclid's Elements. Professional mathematicians and post-secondary geometry textbooks

    Trapezoid

    Trapezoid

    Trapezoid

  • Geometric series
  • Sum of an (infinite) geometric progression

    of positive numbers needing to add up to infinity was incorrect. Euclid's Elements has the distinction of being the world's oldest continuously used

    Geometric series

    Geometric_series

  • Geometry
  • Branch of mathematics

    of the contents of the Elements were already known, Euclid arranged them into a single, coherent logical framework. The Elements was known to all educated

    Geometry

    Geometry

  • Golden ratio
  • Number, approximately 1.618

    number nor a fraction (it is irrational), surprising Pythagoreans. Euclid's Elements (c. 300 BC) provides several propositions and their proofs employing

    Golden ratio

    Golden ratio

    Golden_ratio

  • Adelard of Bath
  • 12th-century English natural philosopher

    introduced to Western Europe. The oldest surviving Latin translation of Euclid's Elements is a 12th-century translation by Adelard from an Arabic version. He

    Adelard of Bath

    Adelard of Bath

    Adelard_of_Bath

  • Infinity
  • Mathematical concept

    London, Allen and Unwin. pp. 1–241. Retrieved 2020-01-09. Euclid (2008) [c. 300 BC]. Euclid's Elements of Geometry (PDF). Translated by Fitzpatrick, Richard

    Infinity

    Infinity

    Infinity

  • Number
  • Used to count, measure, and label

    prime numbers is first documented by the ancient Greek. Euclid devoted one book of the Elements to the theory of primes; in it he proved the infinitude

    Number

    Number

    Number

  • Foundations of mathematics
  • Basic framework of mathematics

    under the name of Aristotle's logic and systematically applied in Euclid's Elements. A mathematical assertion is considered as truth only if it is a theorem

    Foundations of mathematics

    Foundations_of_mathematics

  • Method of exhaustion
  • Primitive way of calculating area

    "Euclid's Elements, Book XII, Proposition 2". aleph0.clarku.edu. "Euclid's Elements, Book XII, Proposition 5". aleph0.clarku.edu. "Euclid's Elements,

    Method of exhaustion

    Method_of_exhaustion

  • Triangle
  • Shape with three sides

    defined in Book One of Euclid's Elements. The names used for modern classification are either a direct transliteration of Euclid's Greek or their Latin

    Triangle

    Triangle

    Triangle

  • History of mathematics
  • that Euclid (c. 300 BC) taught, and wrote the Elements, widely considered the most successful and influential textbook of all time. The Elements introduced

    History of mathematics

    History of mathematics

    History_of_mathematics

  • Geometric drawing
  • compass, which in turn are based on the first three postulates of Euclid's Elements. The historical importance of rulers and compasses as instruments

    Geometric drawing

    Geometric drawing

    Geometric_drawing

  • Hypatia
  • 4th-century Alexandrian astronomer and mathematician

    unoriginal". His primary achievement was the production of a new edition of Euclid's Elements, in which he corrected scribal errors that had been made over the

    Hypatia

    Hypatia

  • Perfect number
  • Number equal to the sum of its proper divisors

    as early as Euclid's Elements (Book VII, Definition 22) where it is called τέλειος ἀριθμός (perfect, ideal, or complete number). Euclid also proved a

    Perfect number

    Perfect number

    Perfect_number

  • Right angle
  • 90° angle (π/2 radians)

    Wentworth, G.A. (1895). A Text-Book of Geometry. Ginn & Co. Euclid, commentary and trans. by T. L. Heath Elements Vol. 1 (1908 Cambridge) Google Books

    Right angle

    Right angle

    Right_angle

  • Sebastián Fernández de Medrano
  • Spanish engineer and general (1646–1705)

    and twelve, of the Geometric Elements of the famous philosopher Euclid of Megara," (1701) Medrano expands on Euclid's propositions, such as the conditions

    Sebastián Fernández de Medrano

    Sebastián_Fernández_de_Medrano

  • Axiom
  • Statement that is taken to be true

    of the postulates. The classical approach is well-illustrated by Euclid's Elements, where a list of postulates is given (common-sensical geometric facts

    Axiom

    Axiom

    Axiom

  • Amphinomus
  • Mythological Greek character

    mentioned a few times by Proclus in his Commentary on the First Book of Euclid's Elements. Antoninus Liberalis, 12 Apollodorus, E.7.27 Homer, Odyssey 18.395

    Amphinomus

    Amphinomus

  • Erhard Ratdolt
  • Bavarian printer (1442–1528)

    the Historia Romana of Appianus (1477), and the first edition of Euclid's Elements (1482), where he solved the problem of printing geometric diagrams

    Erhard Ratdolt

    Erhard Ratdolt

    Erhard_Ratdolt

  • Prism (geometry)
  • Solid with 2 parallel n-gonal bases connected by n parallelograms

    (from Greek πρίσμα (prisma) 'something sawed') was first used in Euclid's Elements. Euclid defined the term in Book XI as "a solid figure contained by two

    Prism (geometry)

    Prism (geometry)

    Prism_(geometry)

  • Volume
  • Quantity of a three-dimensional space

    volume digit (1 cubit × 1 cubit × 1 digit). The last three books of Euclid's Elements, written in around 300 BCE, detailed the exact formulas for calculating

    Volume

    Volume

    Volume

  • Q.E.D.
  • Abbreviation at completion of a proof

    DEMONSTRANDUM". www.merriam-webster.com. Retrieved 2017-09-03. Elements 2.5 by Euclid (ed. J. L. Heiberg), retrieved 16 July 2005 Valla, Giorgio. "Georgii

    Q.E.D.

    Q.E.D.

  • Triangle inequality
  • Property of geometry, also used to generalize the notion of "distance" in metric spaces

    inner product spaces. The triangle inequality theorem is stated in Euclid's Elements, Book I, Proposition 20: […] in the triangle ABC the sum of any two

    Triangle inequality

    Triangle inequality

    Triangle_inequality

  • Compass equivalence theorem
  • Principle in compass and straightedge constructions

    of Euclid's Elements. The proof of this theorem has had a chequered history. The following construction and proof of correctness are given by Euclid in

    Compass equivalence theorem

    Compass_equivalence_theorem

  • Euclid–Euler theorem
  • Characterization of even perfect numbers

    Euclid proved that 2p−1(2p − 1) is an even perfect number whenever 2p − 1 is prime. This is the final result on number theory in Euclid's Elements; the

    Euclid–Euler theorem

    Euclid–Euler_theorem

  • Archimedes
  • Greek mathematician and physicist (c. 287 – 212 BC)

    of the Parabola, Archimedes states that a certain proposition in Euclid's Elements demonstrating that the area of a circle is proportional to its diameter

    Archimedes

    Archimedes

    Archimedes

  • Isidore of Miletus
  • 5th-century Byzantine Greek architect and mathematician

    Archimedes' works has been attributed to him. The spurious Book XV from Euclid's Elements has been partly attributed to Isidore of Miletus. Isidore of Miletus

    Isidore of Miletus

    Isidore of Miletus

    Isidore_of_Miletus

  • Parallel (geometry)
  • Relation used in geometry

    in a plane which do not meet appears as Definition 23 in Book I of Euclid's Elements. Alternative definitions were discussed by other Greeks, often as

    Parallel (geometry)

    Parallel_(geometry)

  • Prime number
  • Number divisible only by 1 and itself

    mathematicians, who called them prōtos arithmòs (πρῶτος ἀριθμὸς). Euclid's Elements (c. 300 BC) proves the infinitude of primes and the fundamental theorem

    Prime number

    Prime number

    Prime_number

  • Similarity (geometry)
  • Property of objects which are scaled or mirrored versions of each other

    proved in Euclid's Elements, Book VI, Proposition 4. For instance, Venema 2006, p. 122 and Henderson & Taimiņa 2005, p. 123. Euclid's Elements, Book VI

    Similarity (geometry)

    Similarity (geometry)

    Similarity_(geometry)

  • Pons asinorum
  • Geometric theorem about isosceles triangles

    triangle theorem. The theorem appears as Proposition 5 of Book 1 in Euclid's Elements. Its converse is also true: if two angles of a triangle are equal

    Pons asinorum

    Pons asinorum

    Pons_asinorum

  • Sawai Jai Singh
  • Maharaja of Amber (1688–1743)

    at multiple places in India, including his capital Jaipur. He had Euclid's "Elements of Geometry" translated into Sanskrit. When Jai Singh acceded to the

    Sawai Jai Singh

    Sawai Jai Singh

    Sawai_Jai_Singh

  • Thales of Miletus
  • Ancient Greek philosopher (c. 626 – c. 545 BC)

    mentioned and proved as part of the 31st proposition in the third book of Euclid's Elements. Dante's Paradiso refers to Thales's theorem in the course of a speech

    Thales of Miletus

    Thales of Miletus

    Thales_of_Miletus

  • Matteo Ricci
  • Italian Catholic missionary (1552–1610)

    worked with several Chinese elites, such as Xu Guangqi, in translating Euclid's Elements into Chinese as well as the Confucian classics into Latin for the

    Matteo Ricci

    Matteo Ricci

    Matteo_Ricci

  • David E. Joyce
  • American mathematician

    quandles in knot theory, and for his online interactive edition of Euclid's Elements. He is a professor emeritus of mathematics at Clark University. Joyce

    David E. Joyce

    David_E._Joyce

  • Euclidean relation
  • Type of binary relation

    relations are a class of binary relations that formalize "Axiom 1" in Euclid's Elements: "Magnitudes which are equal to the same are equal to each other."

    Euclidean relation

    Euclidean_relation

  • Semicircle
  • Geometric shape

    semicircle Salinon Wigner semicircle distribution Euclid's Elements, Book VI, Proposition 13 Euclid's Elements, Book VI, Proposition 25 "Ford Circle". Weisstein

    Semicircle

    Semicircle

    Semicircle

  • Multiplicative inverse
  • Number which when multiplied by x equals 1

    proportion are described as reciprocall in a 1570 translation of Euclid's Elements. In the phrase multiplicative inverse, the qualifier multiplicative

    Multiplicative inverse

    Multiplicative inverse

    Multiplicative_inverse

  • Power of two
  • Two raised to an integer power

    100000, ... ) is important in number theory. Book IX, Proposition 36 of Elements proves that if the sum of the first n terms of this progression is a prime

    Power of two

    Power of two

    Power_of_two

  • Geometric progression
  • Mathematical sequence of numbers

    Babylonian mathematics beginning in 2000 BC. Books VIII and IX of Euclid's Elements analyze geometric progressions (such as the powers of two, see the

    Geometric progression

    Geometric progression

    Geometric_progression

  • Theon of Alexandria
  • Greek scholar and mathematician (c. 335–405)

    in Alexandria, Egypt. He edited and arranged Euclid's Elements and wrote commentaries on works by Euclid and Ptolemy. His daughter Hypatia also won fame

    Theon of Alexandria

    Theon_of_Alexandria

  • Johan Ludvig Heiberg (historian)
  • Danish philologist and historian

    unknown texts in the Archimedes Palimpsest, and for his edition of Euclid's Elements that T. L. Heath translated into English. He also published an edition

    Johan Ludvig Heiberg (historian)

    Johan Ludvig Heiberg (historian)

    Johan_Ludvig_Heiberg_(historian)

  • Hero of Alexandria
  • 1st-century AD Hellenistic mathematician and engineer

    the works of Ctesibius. In mathematics, he wrote a commentary on Euclid's Elements and a work on applied geometry known as the Metrica. He is mostly

    Hero of Alexandria

    Hero of Alexandria

    Hero_of_Alexandria

  • Platonic solid
  • Any of the five regular polyhedra

    matching it with Plato's fifth solid. Euclid completely mathematically described the Platonic solids in the Elements, the last book (Book XIII) of which

    Platonic solid

    Platonic solid

    Platonic_solid

  • Intercept theorem
  • Theorem concerning ratios of line segments

    Babylonians and Egyptians, although its first known proof appears in Euclid's Elements. A mechanical device which produce geometricaly-similar shapes is

    Intercept theorem

    Intercept_theorem

  • List of publications in mathematics
  • promotion of an axiomatic approach as a means for proving results. Euclid's Elements has been referred to as the most successful and influential textbook

    List of publications in mathematics

    List of publications in mathematics

    List_of_publications_in_mathematics

  • Inscribed angle
  • Angle formed in the interior of a circle

    geometry, the inscribed angle theorem (Proposition 20 in Book 3 of Euclid's Elements) relates the measure of an inscribed angle to that of the central

    Inscribed angle

    Inscribed angle

    Inscribed_angle

  • Theaetetus (dialogue)
  • Socratic dialogue by Plato concerning the nature of knowledge

    - A Greek mathematician from Athens, who is credited in Book X of Euclid's Elements with developing a method for measuring irrational lengths in terms

    Theaetetus (dialogue)

    Theaetetus_(dialogue)

  • Exterior angle theorem
  • Exterior angle of a triangle is greater than either of the remote interior angles

    The exterior angle theorem is Proposition 1.16 in Euclid's Elements, which states that the measure of an exterior angle of a triangle is greater than

    Exterior angle theorem

    Exterior_angle_theorem

  • Hippasus
  • 5th-century BC Pythagorean philosopher

     327. William Thompson (1930). The Commentary of Pappus on Book X of Euclid's Elements (PDF). Harvard University Press. p. 64. Couprie, Dirk L. (2011). "The

    Hippasus

    Hippasus

    Hippasus

  • Non-Euclidean geometry
  • Two geometries based on axioms closely related to those specifying Euclidean geometry

    the non-Euclidean geometries began almost as soon as Euclid wrote Elements. In the Elements, Euclid begins with a limited number of assumptions (23 definitions

    Non-Euclidean geometry

    Non-Euclidean_geometry

  • Tangent–secant theorem
  • Geometry theorem relating line segments created by a secant and tangent line

    associated circle. This result is found as Proposition 36 in Book 3 of Euclid's Elements. Given a secant g intersecting the circle at points G1 and G2 and

    Tangent–secant theorem

    Tangent–secant theorem

    Tangent–secant_theorem

  • Theaetetus (mathematician)
  • Greek mathematician (c.417–c. 369 BCE)

    contributions were on irrational lengths, which was included in Book X of Euclid's Elements and proving that there are precisely five regular convex polyhedra

    Theaetetus (mathematician)

    Theaetetus_(mathematician)

  • Subtended angle
  • Concept in geometry

    then they are subtended by congruent sides (propositions I.5–6 in Euclid's Elements), forming an isosceles triangle. More generally, the law of sines

    Subtended angle

    Subtended angle

    Subtended_angle

  • Polyhedron
  • Flat-sided three-dimensional shape

    natures for each in his Timaeus, later soon treatment studied in Euclid's Elements. In Renaissance, toroidal polyhedra were used for sketching on polyhedral's

    Polyhedron

    Polyhedron

    Polyhedron

  • Secant line
  • Line that intersects a curve at least twice

    inside the circle this is Euclid III.35, but if the point is outside the circle the result is not contained in the Elements. However, Robert Simson following

    Secant line

    Secant_line

  • Apollonius of Perga
  • Ancient Greek geometer and astronomer (c. 240–190 BC)

    supplement taken from a pseudepigraphic work transmitted as Book XIV of Euclid's Elements. Basilides of Tyre, O Protarchus, when he came to Alexandria and met

    Apollonius of Perga

    Apollonius of Perga

    Apollonius_of_Perga

  • The Nine Chapters on the Mathematical Art
  • Ancient Chinese mathematics text

    on the development of Eastern mathematical traditions to that of Euclid's Elements on the Western mathematical traditions. However, the influence of

    The Nine Chapters on the Mathematical Art

    The Nine Chapters on the Mathematical Art

    The_Nine_Chapters_on_the_Mathematical_Art

  • First principle
  • Basic proposition or assumption

    from any other within that system. The classic example is that of Euclid's Elements; its hundreds of geometric propositions can be deduced from a set

    First principle

    First_principle

  • Signed area
  • Area interpreted positively or negatively

    addition or subtraction of areas. This was formalized in Book I of Euclid's Elements, which leads with several common notions including "if equals are

    Signed area

    Signed_area

  • Diagonal
  • In geometry a line segment joining two nonconsecutive vertices of a polygon or polyhedron

    Etymology Dictionary. Strabo, Geography 2.1.36–37 Euclid, Elements book 11, proposition 28 Euclid, Elements book 11, proposition 38 Honsberger (1973). "A

    Diagonal

    Diagonal

    Diagonal

  • Ming dynasty
  • Imperial dynasty of China (1368–1644)

    ISBN 978-0-520-92147-4 Engelfriet, Peter M. (1998), Euclid in China: The Genesis of the First Translation of Euclid's Elements in 1607 & Its Reception Up to 1723, Leiden:

    Ming dynasty

    Ming dynasty

    Ming_dynasty

  • Algorithm
  • Sequence of operations for a task

    Nicomachus, and the Euclidean algorithm, which was first described in Euclid's Elements (c. 300 BC).Examples of ancient Indian mathematics included the Shulba

    Algorithm

    Algorithm

    Algorithm

  • Thomas Heath (classicist)
  • British civil servant, mathematician and classicist (1861–1940)

    Greek Algebra The Thirteen Books of Euclid's Elements: vol. 1, vol. 2, vol. 3 The Thirteen Books of Euclid's Elements - Second Edition Revised with Additions:

    Thomas Heath (classicist)

    Thomas Heath (classicist)

    Thomas_Heath_(classicist)

  • Hyperbolic geometry
  • Type of non-Euclidean geometry

    of book one of Euclid's Elements, are valid in Euclidean and hyperbolic geometry. Propositions 27 and 28 of Book One of Euclid's Elements prove the existence

    Hyperbolic geometry

    Hyperbolic geometry

    Hyperbolic_geometry

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  • Appleberry
  • Surname or Lastname

    Americanized spelling of Swedish Ap(p)elberg, an ornamental name composed of the elements apel ‘apple tree’ + berg ‘mountain’.English

    Appleberry

    Americanized spelling of Swedish Ap(p)elberg, an ornamental name composed of the elements apel ‘apple tree’ + berg ‘mountain’.English : the surname Applebury is recorded in England in the 19th century, perhaps a habitational name from a lost place.

    Appleberry

  • Mallery
  • Surname or Lastname

    English

    Mallery

    English : see Mallory.French : from a Frenchified form of a Germanic personal name composed of the elements madal ‘council’ + rīc ‘power’.

    Mallery

  • Mangold
  • Surname or Lastname

    English

    Mangold

    English : of uncertain origin. Reaney gives it as a variant of Mangnall, which he derives from Old French mangonelle, a war engine for throwing stones. It may alternatively be identical in origin with the German name in 2 below, but there is no evidence of its introduction to Britain as a personal name by the Normans, which is normally the case for English surnames derived from Continental Germanic personal names.German and French : from a Germanic personal name Managwald, composed of the elements manag ‘much’ + wald ‘rule’.

    Mangold

  • Merrifield
  • Surname or Lastname

    English

    Merrifield

    English : habitational name from any of various places, such as Merryfield in Devon and Cornwall or Mirfield in West Yorkshire, all named with the Old English elements myrige ‘pleasant’ + feld ‘pasture’, ‘open country’ (see Field).

    Merrifield

  • Lameek
  • Boy/Male

    Indian

    Lameek

    One whose eyelids are attratively dark

    Lameek

  • Merrick
  • Surname or Lastname

    Welsh

    Merrick

    Welsh : from the Welsh personal name Meurig, a form of Maurice, Latin Mauritius (see Morris).English : from an Old French personal name introduced to Britain by the Normans, composed of the Germanic elements meri, mari ‘fame’ + rīc ‘power’.Scottish : habitational name from a place near Minigaff in the county of Dumfries and Galloway, so called from Gaelic meurach ‘branch or fork of a road or river’.Irish : when not Welsh or English in origin, probably an Anglicized form of Gaelic Ó Mearadhaigh (see Merry).

    Merrick

  • Maynard
  • Surname or Lastname

    English (of Norman origin) and French

    Maynard

    English (of Norman origin) and French : from the Continental Germanic personal name Mainard, composed of the elements magin ‘strength’ + hard ‘hardy’, ‘brave’, ‘strong’.

    Maynard

  • Kahal
  • Boy/Male

    Indian

    Kahal

    One who has dark eyelids

    Kahal

  • Marvin
  • Surname or Lastname

    English

    Marvin

    English : from the Middle English personal name Merewine (Old English Maerwin, from mær ‘fame’ + win ‘friend’).English : from the Old English personal name Merefinn, derived from Old Norse Mora-Finnr.English : from the Old English personal name Mǣrwynn, composed of the elements mǣr ‘famous’, ‘renowned’ + wynn ‘joy’.English : from the Welsh personal name Merfyn, Mervyn, composed of the Old Welsh elements mer, which probably means ‘marrow’, + myn ‘eminent’.English : Mathew Marvin was one of the founders of Hartford, CT, (coming from Cambridge, MA, with Thomas Hooker) in 1635.

    Marvin

  • Mauger
  • Surname or Lastname

    English

    Mauger

    English : variant of Major 1.French : from the same personal name as 1, or from a short form of the personal name Amauger, from a Germanic personal name composed of the elements amal ‘strength’, ‘vigor’ + gār, gēr ‘spear’.South German : dialect variant of Maunker, nickname for a morose person.

    Mauger

  • Kahal |
  • Boy/Male

    Muslim

    Kahal |

    One who has dark eyelids

    Kahal |

  • Mainer
  • Surname or Lastname

    English and Catalan

    Mainer

    English and Catalan : from the Continental Germanic personal name Maginhari, composed of the elements magin ‘strength’, ‘might’ + hari ‘army’.

    Mainer

  • Mallard
  • Surname or Lastname

    English

    Mallard

    English : from the Old French personal name Malhard, composed of the Germanic elements madal ‘council’ + hard ‘hardy’, ‘brave’, ‘strong’. This was introduced to Britain by the Normans.English : nickname for someone supposedly resembling a male wild duck, Middle English, Old French malard.

    Mallard

  • Maynor
  • Surname or Lastname

    English (of Norman origin)

    Maynor

    English (of Norman origin) : from a derivative of the Continental Germanic personal name Maginhari, composed of the elements magin ‘strength’, ‘might’ + hari ‘army’.

    Maynor

  • Seaberg
  • Surname or Lastname

    Partial translation of Swedish Sjöberg, an ornamental name composed of the elements sjö ‘sea’ + berg ‘mountain’, ‘hill’.English

    Seaberg

    Partial translation of Swedish Sjöberg, an ornamental name composed of the elements sjö ‘sea’ + berg ‘mountain’, ‘hill’.English : from a Middle English form of an Old English feminine personal name, Sǣburh, composed of the elements sǣ ‘sea’ + burh ‘fortified place’.Possibly also English : habitational name from Seaborough in Dorset (from Old English seofon ‘seven’ + beorg ‘hill’, ‘burial mound’) or possibly from Seaborough Hall in Essex.

    Seaberg

  • Euclid
  • Boy/Male

    Greek

    Euclid

    Greek surname. Euclid was an early developer of geometry theories.

    Euclid

  • Merrill
  • Surname or Lastname

    English

    Merrill

    English : habitational name from any of several minor places named with the Old English elements myrige ‘pleasant’ + hyll ‘hill’.

    Merrill

  • Millard
  • Surname or Lastname

    English (chiefly Gloucestershire and Worcestershire)

    Millard

    English (chiefly Gloucestershire and Worcestershire) : variant of Millward.French (northern) : from a Germanic personal name composed of the elements mil ‘good’, ‘gracious’ + hard ‘hardy’, ‘brave’, ‘strong’.Southern French : from a variant spelling of Occitan milhar ‘millet field’ (from mil ‘millet’).

    Millard

  • Lameek |
  • Boy/Male

    Muslim

    Lameek |

    One whose eyelids are attratively dark

    Lameek |

  • Major
  • Surname or Lastname

    English

    Major

    English : from the Norman personal name Malg(i)er, Maug(i)er, composed of the Germanic elements madal ‘council’ + gār, gēer ‘spear’. The surname is now also established in Ulster.Hungarian : from a shortened form of majorosgazda (see Majoros), or a derivative of German Meyer 1.Polish, Czech, and Slovak : from the military rank major (derived from Latin maior ‘greater’), a word related to English mayor and the German surname Meyer.Catalan and southern French (Occitan) : from major ‘major’ (Latin maior ‘greater’), denoting a prominent or important person or the first-born son of a family.Jewish (eastern Ashkenazic) : variant of Meyer 2.

    Major

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Online names & meanings

  • Liselotte
  • Girl/Female

    Australian, Danish, French, German, Swedish

    Liselotte

    God's Promise; God is My Oath

  • Shawaiz
  • Boy/Male

    Arabic, Muslim

    Shawaiz

    Speak Melodious

  • Sathya
  • Girl/Female

    Hindu, Indian, Malayalam, Tamil

    Sathya

    True

  • Acrisioniades
  • Boy/Male

    Latin

    Acrisioniades

    Descendant of Acrisius.

  • Lambodar
  • Boy/Male

    Hindu

    Lambodar

    Lord Ganesh, The huge bellied Lord

  • Hofford
  • Surname or Lastname

    English or Irish

    Hofford

    English or Irish : probably a variant of Hafford, which is itself a variant of Harford or Hereford.

  • Talleen
  • Boy/Male

    Arabic, Hindu, Indian, Kannada, Marathi, Muslim, Telugu

    Talleen

    Strong; Absorbed

  • Raphah
  • Girl/Female

    Biblical

    Raphah

    Relaxation, physic, comfort.

  • Vishwath | விஷ்வத 
  • Boy/Male

    Tamil

    Vishwath | விஷ்வத 

    Universal soul, Part of vishwathmane namaha:” from Vishnu sahasranam

  • Badur
  • Girl/Female

    Arabic

    Badur

    Moon

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Other words and meanings similar to

EUCLIDS ELEMENTS

AI search in online dictionary sources & meanings containing EUCLIDS ELEMENTS

EUCLIDS ELEMENTS

  • Soorma
  • n.

    A preparation of antimony with which Mohammedan men anoint their eyelids.

  • Tarsorrhaphy
  • n.

    An operation to diminish the size of the opening between eyelids when enlarged by surrounding cicatrices.

  • Palpebral
  • a.

    Of or pertaining to the eyelids.

  • Euclid
  • n.

    A Greek geometer of the 3d century b. c.; also, his treatise on geometry, and hence, the principles of geometry, in general.

  • Eversion
  • n.

    The state of being turned back or outward; as, eversion of eyelids; ectropium.

  • Deplumation
  • n.

    A disease of the eyelids, attended with loss of the eyelashes.

  • Entropium
  • n.

    The inversion or turning in of the border of the eyelids.

  • Wink
  • v. i.

    To give a hint by a motion of the eyelids, often those of one eye only.

  • Glama
  • n.

    A copious gummy secretion of the humor of the eyelids, in consequence of some disorder; blearedness; lippitude.

  • Canthus
  • n.

    The corner where the upper and under eyelids meet on each side of the eye.

  • Fucoidal
  • a.

    Containing impressions of fossil fucoids or seaweeds; as, fucoidal sandstone.

  • Wink
  • v. i.

    To close and open the eyelids quickly; to nictitate; to blink.

  • Pannus
  • n.

    A very vascular superficial opacity of the cornea, usually caused by granulation of the eyelids.

  • Prick
  • v.

    A mathematical point; -- regularly used in old English translations of Euclid.

  • Ectropion
  • n.

    An unnatural eversion of the eyelids.

  • Wink
  • v. i.

    To shut the eyes quickly; to close the eyelids with a quick motion.

  • Brills
  • n. pl.

    The hair on the eyelids of a horse.

  • Eaves
  • n. pl.

    Eyelids or eyelashes.

  • Euclidian
  • n.

    Related to Euclid, or to the geometry of Euclid.

  • Palprbrate
  • a.

    Having eyelids.