Euclidean geometry
label: هندسة إقليدية @ar
label: Евклидова геометрия @ru
label: Geometría euclidiana @es
label: Ευκλείδεια γεωμετρία @el
label: 유클리드 기하학 @ko
label: Geometria euklidesowa @pl
label: Euklidisk geometri @sv
label: Eŭklida geometrio @eo
label: Geometria euclidiana @ca
label: Geometri Euklides @in
label: Geometria euclidea @it
label: Euklidische Geometrie @de
label: Géométrie euclidienne @fr
label: Euclidische meetkunde @nl
label: 欧几里得几何 @zh
label: Eukleidovská geometrie @cs
label: Евклідова геометрія @uk
label: Geometria euklidear @eu
label: ユークリッド幾何学 @ja
subject: Category:Greek inventions
subject: Category:Elementary geometry
subject: Category:Euclidean geometry
id: p/p072810
id: p/e036350
sign: Padoa
sign: Bertrand Russell
sign: George Pólya
source: How to Solve It, p. 208
source: Mathematics and the metaphysicians
source: Essai d'une théorie algébrique des nombre entiers, avec une Introduction logique à une théorie déductive quelconque
text: ...when we begin to formulate the theory, we can imagine that the undefined symbols are completely devoid of meaning and that the unproved propositions are simply conditions imposed upon the undefined symbols. Then, the system of ideas that we have initially chosen is simply one interpretation of the undefined symbols; but..this interpretation can be ignored by the reader, who is free to replace it in his mind by another interpretation.. that satisfies the conditions... Logical questions thus become completely independent of empirical or psychological questions... The system of undefined symbols can then be regarded as the abstraction obtained from the specialized theories that result when...the system of undefined symbols is successively replaced by each of the interpretations...
text: If our hypothesis is about anything, and not about some one or more particular things, then our deductions constitute mathematics. Thus, mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true.
text: Geometry is the science of correct reasoning on incorrect figures.
description: أحد الأنظمة الرياضية التي وضع أسسها إقليدس في كتابه العناصر وهي الهندسة التي تدرس في المدارس والثانويات @ar
description: geometrian osa-alue @fi
description: meetkunde in het platte vlak @nl
description: 古代エジプトの哲学者であるユークリッドの著書『原論』に由来する幾何学体系 @ja
description: plaknes un telpisku figūru izpēte, kur izmanto Eiklīda apkopotās aksiomas un teorēmas @lv
description: sistema matematico @it
description: Öklid'e atfedilen matematiksel-geometrik sistem @tr
description: यूक्लिड द्वारा प्रस्तावित ज्यामिति @hi
description: área de las matemáticas @es
description: Model matematic al spațiului fizic @ro
description: Математички модел физичког простора @sr
description: геометрия теорияһы @ba
description: geometria przestrzeni euklidesowych @pl
description: àrea de les matemàtiques @ca
description: геометрическая теория @ru
description: התורה המתמטית של נקודות, ישרים ומעגלים במישור, המבוססת על האקסיומות שהציג וסיכם אוקלידס בספרו יסודות, והכללות שלה למרחב התלת-ממדי @iw
description: Euklidesen bost postulatuak betetzen dituen geometria: 1. Lerro zuzen bat marraz daiteke edozein puntutatik edozein puntutara 2. Zuzen finitu bat etengabe luza daiteke lerro zuzenean 3. @eu
description: 按照歐幾里得的《幾何原本》構造的幾何學 @zh
description: geometria syergi, mast kiävttoo euklidisâš paralleelpostulaat @smn
description: mathematical system attributed to Euclid
description: مدل ریاضی فضای فیزیکی @fa
description: Geometrie des Zwei- oder Dreidimensionalen @de
description: sistema geométrico seguindo axiomas euclidianos @pt
description: géométrie classique de l'espace @fr
description: klasická geometrie v rovině podle Eukleida @cs
description: mathematical seestem attributit tae the Alexandrian Greek mathematician Euclid @sco
description: геометрична теорія @uk
description: геаметрычная тэорыя @be
wiki page external link: https://archive.org/details/thirteenbooksofe00eucl
wiki page external link: https://archive.org/details/shortaccountofhi0000ball/page/50
wiki page external link: https://www.ams.org/notices/200101/fea-stillwell.pdf%7Cjournal=Notices
wiki page external link: https://archive.org/details/gdelsproof00nage
wiki page external link: https://archive.org/details/euclidswindowsto00mlod%7Curl-access=registration%7Cpublisher
wiki page external link: http://www-math.mit.edu/~kedlaya/geometryunbound
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Equivalence_relation
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Formalism_(mathematics)
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Global_Positioning_System
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Proclus
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Gravity
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Euclid's_Elements
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Euclidean_distance
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Theory_of_relativity
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Real_numbers
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Birkhoff's_axioms
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Isotropic