Elements (Ancient Greek text)

GPTKB entity

Statements (61)
Predicate Object
gptkbp:instanceOf gptkb:philosophy
gptkbp:author gptkb:Euclid
gptkbp:Book_I_subject basic plane geometry
gptkbp:Book_II_subject geometric algebra
gptkbp:Book_III_subject circles
gptkbp:Book_IV_subject regular polygons
gptkbp:Book_IX_subject number theory
gptkbp:Book_V_subject proportion theory
gptkbp:Book_VI_subject similar figures
gptkbp:Book_VII_subject number theory
gptkbp:Book_VIII_subject continued proportion in numbers
gptkbp:Book_X_subject irrational lines
gptkbp:Book_XI_subject solid geometry
gptkbp:Book_XII_subject method of exhaustion
gptkbp:Book_XIII_subject regular solids
gptkbp:contains gptkb:Euclid's_postulates
propositions
proofs
Euclid's common notions
gptkbp:dateWritten circa 300 BCE
gptkbp:firstPublished gptkb:Erhard_Ratdolt
1482
gptkbp:genre gptkb:mathematics
gptkbp:hasTextbook over 2000 years
https://www.w3.org/2000/01/rdf-schema#label Elements (Ancient Greek text)
gptkbp:influenced gptkb:mathematics
gptkb:philosophy
gptkb:science
gptkbp:influencedBy gptkb:Pythagoras
gptkb:Theaetetus
gptkb:Eudoxus_of_Cnidus
gptkb:Hippocrates_of_Chios
gptkbp:legacy influenced Carl Friedrich Gauss
influenced David Hilbert
influenced Isaac Newton
influenced mathematical education
gptkbp:mostFamousBook gptkb:Book_V
gptkb:Book_I
gptkb:Book_XIII
gptkbp:notable_for gptkb:Pythagorean_theorem
infinitude of primes
construction of regular pentagon
sum of angles in triangle equals two right angles
gptkbp:notableFor gptkb:Euclidean_geometry
axiomatic method
gptkbp:numberOfBooks 13
gptkbp:originalLanguage gptkb:Ancient_Greek
gptkbp:preservedIn Latin translations
Arabic translations
Greek manuscripts
gptkbp:significance foundation of geometry
basis for logical deduction in mathematics
most successful textbook ever written
gptkbp:structure propositions
postulates
proofs
definitions
gptkbp:subject gptkb:geometry
number theory
gptkbp:bfsParent gptkb:Euclid's_Elements_(Latin_translation)
gptkbp:bfsLayer 7