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 , 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 , may be ...
... 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 , 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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... cosine , tang , or cotang , as the case may be ; the number there found is the logarithm required . log sin 19 ° 55 ' log tan 19 ° 55 ' Thus , • • • 9.532312 · • • 9.559097 If the angle is greater than 45 ° , look for the degrees at the ...
... cosine , tang , or cotang , as the case may be ; the number there found is the logarithm required . log sin 19 ° 55 ' log tan 19 ° 55 ' Thus , • • • 9.532312 · • • 9.559097 If the angle is greater than 45 ° , look for the degrees at the ...
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Common terms and phrases
ABē ACē 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