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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... cosine of an arc is the sine of the complement of the arc . 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 evident , from the equal triangles of the PLANE ...
... cosine of an arc is the sine of the complement of the arc . 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 evident , from the equal triangles of the PLANE ...
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... cosine of an arc is equal to the cosine of its supple ment . 28. The tangent of an arc is the perpendicular to the radius at one extremity of the arc , limited by the prolon gation of the diameter through the other extremity Thus , AT ...
... cosine of an arc is equal to the cosine of its supple ment . 28. The tangent of an arc is the perpendicular to the radius at one extremity of the arc , limited by the prolon gation of the diameter through the other extremity Thus , AT ...
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... cosine , tangent , and cotangent of the angle AOM , as well as of the arc AM . 30. It is often convenient , to use some other radius than 1 ; in such case , the functions of the arc , to the radius 1 , may be reduced to corresponding ...
... cosine , tangent , and cotangent of the angle AOM , as well as of the arc AM . 30. It is often convenient , to use some other radius than 1 ; in such case , the functions of the arc , to the radius 1 , may be reduced to corresponding ...
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... COSINE , TANGENT , OR COTANĜENT , 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 , may be ...
... COSINE , TANGENT , OR COTANĜENT , 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 , may be ...
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... cosine and the cotangent of an arc are , respectively , 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 ...
... cosine and the cotangent of an arc are , respectively , 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 ...
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Common terms and phrases
AB² AC² altitude angle ACB apothem axis base and altitude base multiplied BC² bisect centre chord circumference coincide cone consequently convex surface corresponding cosec cosine Cotang cylinder denote diameter distance divided draw drawn edges equal bases equal in volume equal to AC equal to half equally distant Formula frustum given angle given line greater hence homologous hypothenuse included angle intersection less Let ABC logarithm lower base mantissa mean proportional measured by half number of sides opposite parallelogram perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION XI proved pyramid quadrant radii radius rectangle regular polygons right-angled triangle Scholium segment semi-circumference side BC similar sine slant height sphere spherical angle spherical excess spherical polygon spherical triangle straight line tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence