Elements of Geometry and Trigonometry: From the Works of A. M. Legendre |
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Page 6
... General Principles , .. Rules for Signs of the Functions , .. • 235 3 4 5 7 8 11 12 13 15 16 17 18-22 22 22 23-27 27-35 36-47 48 51 51-54 54 Limiting value of Circular Functions , Relations of Circular Functions vi CONTENTS .
... General Principles , .. Rules for Signs of the Functions , .. • 235 3 4 5 7 8 11 12 13 15 16 17 18-22 22 22 23-27 27-35 36-47 48 51 51-54 54 Limiting value of Circular Functions , Relations of Circular Functions vi CONTENTS .
Page 7
... Functions , Functions of Negative Arcs , .... Particular values of Certain Functions , Formulas of Relation between Functions and Arcs ,. Functions of Double and Half Arcs , Additional Formulas , Method of Computing a Table of Natural ...
... Functions , Functions of Negative Arcs , .... Particular values of Certain Functions , Formulas of Relation between Functions and Arcs ,. Functions of Double and Half Arcs , Additional Formulas , Method of Computing a Table of Natural ...
Page 19
... functions of the arcs , as explained below . A function of a quantity is something which depends upon that quantity for its value . The following functions are the only ones needed for solv- ing triangles : 26. The sine of an arc is the ...
... functions of the arcs , as explained below . A function of a quantity is something which depends upon that quantity for its value . The following functions are the only ones needed for solv- ing triangles : 26. The sine of an arc is the ...
Page 20
... is the cotangent of the are AM ' . The sine , cosine , tangent , and cotangent of an arc , a , are , for convenience , written sin a , cos a , tan a , and cot a . These functions of an arc have been defined on the 20 TRIGONOMETRY . PLANE.
... is the cotangent of the are AM ' . The sine , cosine , tangent , and cotangent of an arc , a , are , for convenience , written sin a , cos a , tan a , and cot a . These functions of an arc have been defined on the 20 TRIGONOMETRY . PLANE.
Page 21
... functions of the arc , to the radius 1 , may be reduced to corresponding functions , to the radius R. Let AOM represent any angle , AM an arc described from O as a centre with the radius 1 , PM its sine ; A'M ' an arc described from 0 ...
... functions of the arc , to the radius 1 , may be reduced to corresponding functions , to the radius R. Let AOM represent any angle , AM an arc described from O as a centre with the radius 1 , PM its sine ; A'M ' an arc described from 0 ...
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Common terms and phrases
ABē ABCD altitude apothem Applying logarithms centre chord circle circumference cone consequently convex surface cosec Cosine Cotang cylinder demonstrated in Book denote diameter distance divided draw edges Equation feet find the area Find the logarithmic following RULE frustum given angle greater hence homologous hypothenuse included angle inscribed intersection less Let ABC linear units log cot log sin lower base lune mantissa multiplied number of sides opposite parallel parallelogram parallelopipedon perpendicular plane MN polar triangle polyedral angle polyedron principle demonstrated prism proportional PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right angles right-angled triangle Scholium segment similar six right slant height solution sphere spherical angle spherical excess spherical polygon spherical triangle square straight line subtracting Tang tangent THEOREM triangle ABC triangular prism upper base vertex volume whence write the following