Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Adapted to the Course of Mathematical Instruction in the United States |
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Page vii
... Sine of Half an Angle , .. 108 Area of a Trapezoid , 112 Area of a Quadrilateral , 112 Area 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 Area of a Trapezoid , 112 Area of a Quadrilateral , 112 Area 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 ...
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... sine of AM , and P'M ' is the sine of AM ' . 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 , PM will be equal to P'M ' ( B. I. , P. XXIII . ) : hence , the sine of an arc ...
... sine of AM , and P'M ' is the sine of AM ' . 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 , PM will be equal to P'M ' ( B. I. , P. XXIII . ) : hence , the sine of an arc ...
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... the cotangent of the are AM ' . a The sine , cosine , tangent , and cotangent of an arc , sin α , cos a , tan a , and cot a . are , for convenience , written These functions of an arc have been defined on the 20 TRIGONOMETRY . PLANE.
... the cotangent of the are AM ' . a The sine , cosine , tangent , and cotangent of an arc , sin α , cos a , tan a , and cot a . are , for convenience , written These functions of an arc have been defined on the 20 TRIGONOMETRY . PLANE.
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... SINE , COSINE , TANGENT , OR COTANGENT , is the sine , cosine , tangent , or cotangent of an arc whose radius is 1 . A TABLE OF NATURAL SINES is a table by means of which the natural sine , cosine , tangent , or cotangent of any arc ...
... SINE , COSINE , TANGENT , OR COTANGENT , is the sine , cosine , tangent , or cotangent of an arc whose radius is 1 . A TABLE OF NATURAL SINES is a table by means of which the natural sine , cosine , tangent , or cotangent of any arc ...
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... sine and the tangent of the complement of that arc ( Arts . 26 and 28 ) : hence , the columns designated sine and tang , at the top of the page , are designated cosine and cotang at the bottom . USE OF THE TABLE . To find the ...
... sine and the tangent of the complement of that arc ( Arts . 26 and 28 ) : hence , the columns designated sine and tang , at the top of the page , are designated cosine and cotang at the bottom . USE OF THE TABLE . To find the ...
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Common terms and phrases
AB² 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 straight line greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin lower base mantissa mean proportional measured by half number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment semi-circumference side BC similar sine six right slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence