# 2014-10-28 · In the paper different kinds of proof of a given statement are discussed. Detailed descriptions of direct and indirect methods of proof are given. Logical models illustrate the essence of specific types of indirect proofs. Direct proofs of Lehmus-Steiner's Theorem are proposed.

Définitions de Théorème de Steiner-Lehmus, synonymes, antonymes, dérivés de Théorème de Steiner-Lehmus, dictionnaire analogique de Théorème de

This provides a partial answer to a question raised by Sylvester in 1852. We also present some comments on possible intuitionistic approaches. (en) Mowaffaq Hajja, « A short trigonometric proof of the Steiner-Lehmus theorem », Forum Geometricorum, vol. 8,‎ 2008, p. 39-42 ( lire en ligne ) . (en) Róbert Oláh-Gál et József Sándor, « On trigonometric proofs of the Steiner-Lehmus theorem » , Forum Geometricorum , vol. 9,‎ 2009 , p.

483. Steiner-Lehmus Theorem. Hidekazu Takahashi. Header < < " E o s H e a d e r. m " I n THE LEHMUS‐STEINER THEOREM. David L. MacKay. Evander Childs High School, New York City.

## theorem of Steiner-Lehmus has 1 translations in 1 languages. Jump to Translations. translations of theorem of Steiner-Lehmus. EN DE German 1 translation. Satz von

David L. MacKay. In the paper different kinds of proof of a given statement are discussed. Detailed descriptions of direct and indirect methods of proof are given. Logical models illustrate the essence of specific types of indirect proofs.

### 2020-10-09 · The following other wikis use this file: Usage on de.wikipedia.org Satz von Steiner-Lehmus; Usage on en.wikipedia.org Steiner–Lehmus theorem; Usage on es.wikipedia.org EN DE German 1 translation. Satz von The well known Steiner-Lehmus theorem states that if the internal angle bisec- tors of two angles of a triangle are equal, then the triangle i s isosceles. Unlike its   The famous Steiner-Lehmus theorem states that if the internal angle bisectors of two angles of a triangle are equal, then the triangle is isosceles. For a recent. The Steiner-Lehmus theorem states that if the internal angle-bisectors of two angles of a triangle are congruent, then the triangle is isosceles. Despite its  Introduction. Congruent Triangles. The Three Theorems.
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According to available history, in 1840 a Berlin professor named C. L. Lehmus (1780-1863) asked his contemporary Swiss geometer Jacob Steiner for a proof of Theorem 1. Steiner–Lehmus theorem: lt;p|>The |Steiner–Lehmus theorem|, a theorem in elementary geometry, was formulated by |C. L. Le World Heritage Encyclopedia, the aggregation of the largest online encyclopedias available, and the most definitive collection ever assembled. The indirect proof of Lehmus-Steiner’s theorem given in  has in fact logical struc ture as the described ab ove although this is not men tioned by the authors. Proof by construction.

The proof of Lehmus-Steiner’s Theorem in  is an illustration of a pro of by. contraposition. Proof by contradiction. In logic, pro of by contradiction is a form of proof, and.
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### Steiner–Lehmus theorem: lt;p|>The |Steiner–Lehmus theorem|, a theorem in elementary geometry, was formulated by |C. L. Le World Heritage Encyclopedia, the aggregation of the largest online encyclopedias available, and the most definitive collection ever assembled.

This provides a partial answer to a  9 Aug 2004 To state this theorem, recall that by an "angle bisector" of a triangle is meant The Steiner-Lehmus theorem says that if two angle bisectors of a  The Steiner- Lehmus. Angle- Bisector Theorem. John Conway and Alex Ryba.

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### A direct Euclidean proof? In December 2010, Charles Silver of Berkeley, CA, devised a direct proof of the Steiner-Lehmus theorem, which uses only compass and straightedge and relies entirely on notions from Book I of Euclid's Elements. He submitted to The American Mathematical Monthly, but apparently it …

(en) Mowaffaq Hajja, « A short trigonometric proof of the Steiner-Lehmus theorem », Forum Geometricorum, vol. 8,‎ 2008, p. 39-42 ( lire en ligne ) . (en) Róbert Oláh-Gál et József Sándor, « On trigonometric proofs of the Steiner-Lehmus theorem » , Forum Geometricorum , vol. 9,‎ 2009 , p. Prove dirette .

## More variations on the Steiner-Lehmus theme - Volume 103 Issue 556. Skip to main content Accessibility help We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Unlike its   The famous Steiner-Lehmus theorem states that if the internal angle bisectors of two angles of a triangle are equal, then the triangle is isosceles. For a recent. The Steiner-Lehmus theorem states that if the internal angle-bisectors of two angles of a triangle are congruent, then the triangle is isosceles.

8,‎ 2008, p. 39-42 ( lire en ligne ) .