Elements of Geometry and Trigonometry |
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Page 19
... 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 ...
Page 20
... 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 ...
... 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 ...
Page 21
... 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 ...
Page 22
... 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 , tangent ...
... 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 , tangent ...
Page 23
... cosine and the cotangent of an arc are , respectively , the sine and the tangent of the complement of that are ( 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 are ( 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
ABCD ACĀ² 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