# 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 sider

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### Innhold

 BOOK 1 47 The Circle and the Measurement of Angles 57 BOOK V 135 PAGE 245 PLANE TRIGONOMETRY 255 Multiplication by Logarithms 261 Scale of Equal Parts 268 Table of Logarithmic Sines 274
 ANALYTICAL PLANE TRIGONOMETRY 297 General Formulas 307 Homogeneity of Terms 313 Spherical Triangle Defined 321 First Principles 328 Of Quadrantal Triangles 335 MENSURATION OF SURFACES 347 Area of a Regular Polygon 353

 Solution of Triangles 281 Solution of RightAngled Triangles 287
 PAGE 358 Convex Surface of a Cone 364

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Side 27 - If two triangles have two sides of the one equal to two sides of the...
Side 227 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Side 256 - The logarithm of . the quotient of two numbers, is equal to the logarithm of the dividend diminished by the logarithm of the divisor.
Side 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.
Side 26 - The sum of any two sides of a triangle is greater than the third side.
Side 271 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Side 93 - The area of a parallelogram is equal to the product of its base and altitude.
Side 358 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Side 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.
Side 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.