# Elements of Geometry...: Translated from the French for the Use of the Students of the University at Cambridge, New England (Google eBook)

Hilliard and Metcalf, 1825 - Geometry - 224 pages

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### Contents

 Section 1 1 Section 2 4 Section 3 6 Section 4 13 Section 5 15 Section 6 35 Section 7 37 Section 8 49
 Section 20 102 Section 21 105 Section 22 106 Section 23 109 Section 24 116 Section 25 117 Section 26 129 Section 27 135

 Section 9 54 Section 10 57 Section 11 63 Section 12 67 Section 13 69 Section 14 73 Section 15 75 Section 16 77 Section 17 80 Section 18 96 Section 19 101
 Section 28 142 Section 29 147 Section 30 178 Section 31 184 Section 32 191 Section 33 197 Section 34 199 Section 35 213 Section 36 217 Section 37 221

### Popular passages

Page ii - Co. of the said district, have deposited in this office the title of a book, the right whereof they claim as proprietors, in the words following, to wit : " Tadeuskund, the Last King of the Lenape. An Historical Tale." In conformity to the Act of the Congress of the United States...
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 65 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Page 10 - Hence a straight line drawn from the vertex of an isosceles triangle, to the middle of the base, is perpendicular to that base, and divides the vertical angle into two equal parts.
Page ii - States entitled an act for the encouragement of learning hy securing the copies of maps, charts and books to the author., and proprietors of such copies during the times therein mentioned, and also to an act entitled an act supplementary to an act, entitled an act for the encouragement of learning by securing the copies of maps, charts and books to the authors and proprietors of such copies during the times therein mentioned and extending the benefits thereof to the arts of designing, engraving and...
Page 63 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Page 164 - In any spherical triangle, the greater side is opposite the greater angle ; and conversely, the greater angle is opposite the greater side.
Page 155 - CIRCLE is a plane figure bounded by a curved line, all the points of which are equally distant from a point within called the centre; as the figure ADB E.
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 162 - 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.

### 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 ...