Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Adapted to the Course of Mathematical Instruction in the United States |
From inside the book
Results 1-5 of 65
Page vii
... Sine and Cosine of Half an Angle , Area of a Trapezoid , Area of a Quadrilateral , Area of a Polygon , Area of a Regular Polygon ,. To find the Circumference of a Circle , ........ To find the Diameter of a Circle , ... To find the ...
... Sine and Cosine of Half an Angle , Area of a Trapezoid , Area of a Quadrilateral , Area of a Polygon , Area of a Regular Polygon ,. To find the Circumference of a Circle , ........ To find the Diameter of a Circle , ... To find the ...
Page 19
... sine of AM , and P'M ' is the sine of AM ' . If AM is equal to M'C , AM and AM ' are supplements of each other ; and because MM ' is parallel to AC , PM is equal to P'M ' ( B. I. , P. XXIII . ) : hence , the sine of an arc is equal to ...
... sine of AM , and P'M ' is the sine of AM ' . If AM is equal to M'C , AM and AM ' are supplements of each other ; and because MM ' is parallel to AC , PM is equal to P'M ' ( B. I. , P. XXIII . ) : hence , the sine of an arc is equal to ...
Page 20
... be explained hereafter . 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.
... be explained hereafter . 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 22
... SINE , COSINE , TANGENT , or COTANGENT , is the sine , cosine , tangent , or cotangent of an arc whose radius is 1 . A TABLE OF NATURAL SINES , COSINES , & c . , is a table by means of which the natural sine , cosine , tangent , or co ...
... SINE , COSINE , TANGENT , or COTANGENT , is the sine , cosine , tangent , or cotangent of an arc whose radius is 1 . A TABLE OF NATURAL SINES , COSINES , & c . , is a table by means of which the natural sine , cosine , tangent , or co ...
Page 23
... sine and cosine , there are separate columns of differences , which are written to the right of the respect- ive ... sine and the tangent of the complement of that arc , or angle ( Arts . 26 and 28 ) : hence , the columns designated sine ...
... sine and cosine , there are separate columns of differences , which are written to the right of the respect- ive ... sine and the tangent of the complement of that arc , or angle ( Arts . 26 and 28 ) : hence , the columns designated sine ...
Other editions - View all
Common terms and phrases
ABē ABCD ACē adjacent angles altitude angles is equal apothem base and altitude bisects centre chord circle circumference circumscribed cone consequently convex surface corresponding Cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant equilateral feet find the area formula frustum given angle given line given point greater hence homologous hypothenuse included angle interior angles intersection less Let ABC logarithm lower base mantissa mean proportional measured by half number of sides parallel parallelogram parallelopipedon perimeter perpendicular plane angles plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right angles right-angled triangle Scholium secant segment side BC similar sine slant height solution sphere spherical angle spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence