Elements of Geometry and Trigonometry |
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Page 7
... Sine of Half an Angle , ...... 108 Aree , of a Trapezoid , 112 Area of a Quadrilateral , 112 Are of a Polygon , 113 Area of a Regular Polygon , 114 To find the Circumference of a Circle , 116 To find the Diameter of a Circle , 116 To ...
... Sine of Half an Angle , ...... 108 Aree , of a Trapezoid , 112 Area of a Quadrilateral , 112 Are of a Polygon , 113 Area of a Regular Polygon , 114 To find the Circumference of a Circle , 116 To find the Diameter of a Circle , 116 To ...
Page 19
... sine of AM , and P'M ' is the sine of AM ' . T " T ' If AM is equal to M'C , AM and AM ' will be supple- ments of each other ; and be- cause MM ' is parallel to AC , M ' N MT P ' PM will be equal to P'M ' ( B. I. , P. XXIII . ) : hence ...
... sine of AM , and P'M ' is the sine of AM ' . T " T ' If AM is equal to M'C , AM and AM ' will be supple- ments of each other ; and be- cause MM ' is parallel to AC , M ' N MT P ' PM will be equal to P'M ' ( B. I. , P. XXIII . ) : hence ...
Page 20
... the cotangent of the are AM ' . a The sine , cosine , tangent , and cotangent of an arc , are , for convenience , written sin a , cos a , tan ɑ , and cot a These functions of an arc have been defined on the 20 PLANE TRIGONOMETRY .
... the cotangent of the are AM ' . a The sine , cosine , tangent , and cotangent of an arc , are , for convenience , written sin a , cos a , tan ɑ , and cot a These functions of an arc have been defined on the 20 PLANE TRIGONOMETRY .
Page 21
... sine , cosine , tangent , and cotangent of the angle AOM , as well as of the arc AM . 30. It is often convenient to ... sine ; A'M ' an arc described from as a centre , with any ra- radius R , and P'M ' its sine . Then , because OPM and ...
... sine , cosine , tangent , and cotangent of the angle AOM , as well as of the arc AM . 30. It is often convenient to ... sine ; A'M ' an arc described from as a centre , with any ra- radius R , and P'M ' its sine . Then , because OPM and ...
Page 22
... SINE , COSINE , TANGENT , or COTAN- GENT is the logarithm of the sine , cosine , tangent , or cotan- gent of an arc whose radius is 10,000,000,000 . A TABLE OF LOGARITHMIC SINES is a table from which the logarithmic sine , cosine ...
... SINE , COSINE , TANGENT , or COTAN- GENT is the logarithm of the sine , cosine , tangent , or cotan- gent of an arc whose radius is 10,000,000,000 . A TABLE OF LOGARITHMIC SINES is a table from which the logarithmic sine , cosine ...
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Common terms and phrases
ABCD AC² adjacent angles altitude angle ACB apothem Applying logarithms base and altitude bisect centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given line given point greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin logarithm lower base mantissa mean proportional measured by half middle point number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROBLEM PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment side BC similar sine slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence