# 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, 1857 - 432 páginas

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### Contenido

 INTRO DUCTION 47 The Circle and the Measurement of Angles 57 BOOK IV 87 Proportions of FiguresMeasurement of Areas 122 BOOK V 135 BOOK VI 156 BOOK VII 174 The Three Round Bodies 202
 Table of Logarithmic Sines 274 Theorenis 287 ANALYTICAL PLANE TRIGONOMETRY 297 of Formulas 306 Homogeneity of Terms 313 SPHERICAL TRIGONOMETRY 321 First Principles 328 Of Quadrantal Triangles 335

 BOOK IX 227 PAGL 245 PLANE TRIGONOMETRY 255 Multiplication by Logarithms 261 Scale of Equal Parts 268
 MENSURATION OF SURFACES 347 Mensuration of Solids divided into Two Parts 358 Convex Surface of a Cone 364 actor 10

### Pasajes populares

Página 227 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Página 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...
Página 271 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Página 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.
Página 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.
Página 7 - 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'.
Página 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.
Página 119 - The angle formed by a tangent and a chord is measured by half the intercepted arc.
Página 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.
Página 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.