# Elements of Geometry (Google eBook)

Hilliard and Metcalf, at the University Press, 1819 - Geometry - 208 pages

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### Popular passages

Page 65 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Page 9 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Page 155 - THE sphere is a solid terminated by a curve surface, all the points of which are equally distant from a point within, called the centre.
Page 80 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.
Page 27 - Two equal chords are equally distant from the centre ; and of two unequal chords, the less is at the greater distance from the centre.
Page 54 - The sum of the squares on the sides of a parallelogram is equal to the sum of the squares on the diagonals.
Page 164 - If two triangles have two sides and the inchtded angle of the one respectively equal to two sides and the included angle of the other, the two triangles are equal in all respects.
Page 207 - In every triangle the sum of the three angles is equal to two right angles.
Page 166 - In any spherical triangle, the greater side is opposite the greater angle ; and conversely, the greater angle is opposite the greater side.
Page 145 - If a pyramid is cut by a plane parallel to its base, the...

### References from web pages

Elements of Geometry, or “Éléments de géométrie” (work by Legendre ...
contribution to parallel postulate, discussed in biography
www.britannica.com/ eb/ topic-184288/ Elements-of-Geometry

Legendre’s Éléments de géométrie (1794): Introducing a novel ...
Legendre’s Elements of Geometry (first published in 1794) dominated ... the elements of geometry, and readers whose knowledge of calculation is ...
www.cirm.univ-mrs.fr/ videos/ 2007/ exposes/ 11b/ Hon.pdf

The Online Books Page: Elements of Geometry and Trigonometry, by ...
Title: Elements of Geometry and Trigonometry · Author: Legendre, am · Author: Davies, Charles, 1798-1876 · Editor: Van Amringe, J. Howard ...
onlinebooks.library.upenn.edu/ webbin/ book/ lookupid?key=olbp21963

Analysis and synthesis in John Playfair's Elements of Geometry
Elements of Geometry, Containing the First Six Books of ... Elements of Geometry in justifying the traditional classical curriculum, the choices Playfair ...
journals.cambridge.org/ production/ action/ cjoGetFulltext?fulltextid=101266

Free Books > Computers & Internet > Web Development > HTML ...
Free Books > Computers & Internet > Web Development > HTML, Graphics, & Design > Web Graphics > Elements Of Geometry And Trigonometry.
2020ok.com/ books/ 29/ elements-of-geometry-and-trigonometry-19129.htm

International Journal for the History of Mathematics Education
The analysis of this period concerns Legendre's Elements of geometry, the education system in Greece, mathematics in school curricula, the teaching methods, ...
www.tc.columbia.edu/ centers/ ijhmt/ index.asp?Id=International+Bibliography& Info=Greece

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Elements of Geometry by Veronese.* This well-known. scholar, basing his work on a profound analysis of principles,. had already set forth the leading ...
projecteuclid.org/ DPubS/ Repository/ 1.0/ Disseminate?handle=euclid.bams/ 1183423031& view=body& content-type=pdf_1

Lobachevski - Non-Euclidean Geometry
Euclid: Elements of Geometry. BOOK I. Proposition 27. If a straight line falling on two straight lines make the alternate angles equal to one another, ...
www.math10.com/ en/ university-math/ lobachevski/ lobachevski-non-euclidian-geometry.html

No. 472: Legendre's Math Text
Davies, C., Elements of Geometry and Trigonometry . from the Works of am Legendre, Revised and Adapted to the Course of Mathematical Instruction in the ...
www.uh.edu/ engines/ epi472.htm

JSTOR: The Influence of French Mathematicians at the End of the ...
THE INFLUENCE OF FRENCII MATHEMATICIANS III title reads: Elements of Geometry, by am Legendre,... translated from the French for the use of the students of ...