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 60
Page vii
... 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 Length of an ...
... 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 Length of an ...
Page 19
... cosine of an arc is the sine of the comple- ment of the arc , " complement sine " being contracted into cosine . Thus , NM is the cosine of AM , and NM ' is the cosine of AM ' . These lines are respectively equal to OP and OP ' . It is ...
... cosine of an arc is the sine of the comple- ment of the arc , " complement sine " being contracted into cosine . Thus , NM is the cosine of AM , and NM ' is the cosine of AM ' . These lines are respectively equal to OP and OP ' . It is ...
Page 20
... , as will 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.
... , as will 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
... 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- tangent ...
... 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- tangent ...
Page 23
... cosine , there are separate columns of differences , which are written to the right of the respect- ive columns ; but for the tangent and cotangent there is but a single column of differences , which is written be- tween them . The ...
... cosine , there are separate columns of differences , which are written to the right of the respect- ive columns ; but for the tangent and cotangent there is but a single column of differences , which is written be- tween them . The ...
Other editions - View all
Common terms and phrases
AB² ABCD AC² 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