# Elements of Geometry and Trigonometry: From the Works of A.M. Legendre (Google eBook)

A.S. Barnes & Company, 1857 - Geometry - 448 pages

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### Contents

 hmDDCTI01I 13 Propositions 21 BOOK II 47 BOOK III 57 Problems relating to the First and Third Books 76 BOOK IV 87 Problems relating to the Fourth Book 122 BOOK V 135
 Problems 267 Definitions of Trigonometrical Lines 273 Solut1on of Triangles 281 Solution of RightAngled Triangles 287 Circular Functions 297 of Formulas 306 Homogeneity of Terms 313 SPHERICAL TRIGONOMETRY 321

 Planes and Polyedral Angles 150 BOOK VII 174 BOOK VIII 202 BOOK IX 227 PAG 245 PLANE TRIGONOMETRY 255 Multiplication by Logarithms 261
 Napiers Analogies 329 Of Quadrantal Triangles 335 MENSURATION OF SURFACES 347 Area of a Regular Polygon 353 piem 358 Convex Surface of a Cone 364

### Popular passages

Page 227 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Page 34 - If two right-angled triangles have the hypothenuse and a side of the one, equal to the hypothenuse and a side of the other, each to each, the triangles are equal. Let...
Page 271 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Page 278 - In any triangle, the sum of the two sides containing either angle, is to their difference, as the tangent of half the sum of the two other angles, to the tangent of half their difference.
Page 107 - If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.
Page 371 - O's, points or dots are introduced instead of the 0's through the rest of the line, to catch the eye, and to indicate that from thence the annexed first two figures of the Logarithm in the second column stand in the next lower line. N'.
Page 43 - BtSL hence the sum of all the interior and exterior angles, is equal to twice as many right angles as the polygon has sides.
Page 119 - The angle formed by a tangent and a chord is measured by half the intercepted arc.
Page 30 - B : hence the two triangles have two sides and the included angle of the one equal to two sides and the included angle of the other, each to each : hence, the two triangles are equal (Th.
Page 97 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.

### References from web pages

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

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

Elements of Geometry, or “Éléments de géométrie” (work by Legendre ...
... was Adrien-Marie Legendre's textbook Éléments de géométrie (Elements of Geometry and Trigonometry), the first edition of which appeared in 1794. ...
www.britannica.com/ eb/ topic-184288/ Elements-of-Geometry

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: American Contributions to Mathematical Symbolism
This was expressed by the sign -~ which occurs in C. Davies' Elements of Geometry and Trigonometry,2 1851. For a quarter of a century following 1885, ...

Collection of Early American Mathematics Books
Main Title TM: Elements of geometry and trigonometry / translated from the French of am Legendre by David Brewster ; revised and adapted to the course of ...
www.math.gatech.edu/ ~hill/ publications/ books/ booklist.html

Earliest Known Uses of Some of the Words of Mathematics
In 1828, Elements of Geometry and Trigonometry (1832) by David Brewster (a translation of Legendre) has:. AGO, GOC, we have already named interior angles on ...
www.luigigobbi.com/ Earliest%20Known%20Use%20of%20Some%20of%20the%20Words%20of%20Mathematics/

Origins of some arithmetic terms
APOTHEM is found in 1828 in Elements of Geometry and Trigonometry (1832) by David Brewster (a translation of Legendre): The radius OT of the inscribed ...
www.pballew.net/ arithme1.html

Amy Ackerberg-Hastings
In his geometry textbook, Elements of Geometry and Trigonometry, Davies mixed together content from French, Scottish, and English textbooks with the goal of ...
www.math.usma.edu/ people/ Rickey/ dms/ DeptHeads/ Davies%20by%20Amy%20Ackerberg-Hastings.rtf

Earliest Known Uses of Some of the Words of Mathematics (P)
In 1832 Elements of Geometry and Trigonometry by David Brewster, which is a translation of Legendre, has:. The word parallelogram, according to its ...
members.aol.com/ jeff570/ p.html