# Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Revised and Adapted to the Course of Mathematical Instruction in the United States

A.S. Barnes & Company, 1854 - 432 СЕКъДЕР

### тИ КщМЕ ОИ ВЯчСТЕР -сЩМТАНГ ЙЯИТИЙчР

дЕМ ЕМТОПъСАЛЕ ЙЯИТИЙщР СТИР СУМчХЕИР ТОПОХЕСъЕР.

### пЕЯИЕВЭЛЕМА

 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 BOOK VI 156
 Multiplication by Logarithms 261 Problems 267 Table of Natural Sines 273 Solution of Triangles 281 Solution of RightAngled Triangles 287 PAGE 297 SPHERICAL TRIGONOMETRY 321 Napiers Analogies 329

 BOOK VII 174 BOOK VIII 202 BOOK IX 227 PAGE 245 PLANE TRIGONOMETRY 255
 Of Quadrantal Triangles 335 MENSURATION OF SURFACES 347 PAGE 358 Convex Surface of a Cone 364

### дГЛОЖИКч АПОСПэСЛАТА

сЕКъДА 27 - If two triangles have two sides of the one equal to two sides of the...
сЕКъДА 227 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
сЕКъДА 256 - The logarithm of . the quotient of two numbers, is equal to the logarithm of the dividend diminished by the logarithm of the divisor.
сЕКъДА 97 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.
сЕКъДА 26 - The sum of any two sides of a triangle is greater than the third side.
сЕКъДА 271 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
сЕКъДА 93 - The area of a parallelogram is equal to the product of its base and altitude.
сЕКъДА 358 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
сЕКъДА 323 - A'B'C', and applying the law of cosines, we have cos a' = cos b' cos c' + sin b' sin c' cos A'. Remembering the relations a' = 180╟ -A, b' = 180╟ - B, etc. (this expression becomes cos A = — cos B cos C + sin B sin C cos a.
сЕКъДА 64 - Two equal chords are equally distant from the centre ; and of two unequal chords, the less is at the greater distance from the centre.