*triangol sì ch'un retto non avesse.*

Dante's *Paradiso*, Canto 13, lines 101–102. English translation by Henry Wadsworth Longfellow.

There is nothing extant of the writing of Thales; work done in ancient Greece tended to be attributed to men of wisdom without respect to all the individuals involved in any particular intellectual constructions — this is true of Pythagoras especially. Attribution did tend to occur at a later time.^{[2]} Reference to Thales was made by Proclus, and by Diogenes Laertius documenting Pamphila's statement that Thales^{[3]}

Indian and Babylonian mathematicians knew this for special cases before Thales proved it.^{[4]} It is believed that Thales learned that an angle inscribed in a semicircle is a right angle during his travels to Babylon.^{[5]} The theorem is named after Thales because he was said by ancient sources to have been the first to prove the theorem, using his own results that the base angles of an isosceles triangle are equal, and that the sum of angles in a triangle is equal to 180°.

Dante's *Paradiso* (canto 13, lines 101–102) refers to Thales's theorem in the course of a speech.

The following facts are used: the sum of the angles in a triangle is equal to 180° and the base angles of an isosceles triangle are equal.

Since OA = OB = OC, ∆OBA and ∆OBC are isosceles triangles, and by the equality of the base angles of an isosceles triangle, ∠OBC = ∠OCB and ∠BAO = ∠ABO.

This page was last edited on 29 May 2018, at 14:17 (UTC).

Reference: https://en.wikipedia.org/wiki/Thales%27_theorem under CC BY-SA license.

Reference: https://en.wikipedia.org/wiki/Thales%27_theorem under CC BY-SA license.

- Geometry
- Circle
- Diameter
- Angle
- Right Angle
- Inscribed Angle Theorem
- Euclid's
- Elements
- [1]
- Thales Of Miletus
- Ox
- Apollo
- Pythagoras
- Henry Wadsworth Longfellow
- Ancient Greece
- [2]
- Diogenes Laertius
- [3]
- Indian
- Babylonian Mathematicians
- [4]
- Semicircle
- Babylon
- [5]
- Isosceles Triangle
- Paradiso
- Triangle
- Â°
- Isosceles Triangle

- Thales%27 Theorem
- Kohat
- Sitara Devi
- Pole%E2%80%93zero Matching Method
- Busher Jackson
- Spectralon
- Windex.php?title=Chernihiv Style&action=edit&redlink=1
- Petro Konashevych
- Shubenacadie Wildlife Park
- Initial Operating Capability
- Gulf Of Suez Rift
- Gavle%C3%A5n
- NCAA Drug Testing
- ExoMars 2020 Surface Platform
- Daniel Murray (bishop)
- Sean Hayes (musician)
- Romanization Of Greek
- Gatling Gun
- ExoMars
- AUX:
- Robert Henry Sale
- The Witch Of Portobello
- Battagram
- Special:ContributionsSamanthaPuckettIndo
- User Talk:168.8.238.50
- 1935 In British Television
- Frank Boucher
- U-Turn (The Amazing Race)
- Nels Stewart
- Bill Cook