Elements of Geometry and Trigonometry |
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Page 6
... Cosines , Tan- gents , & c . Construction and Description of the Tables , Description of Table of Logarithms , · · 215 223 224 Description of Table of Logarithmic Sines , 228 Principles for the Solution of Rectilineal Triangles , 231 ...
... Cosines , Tan- gents , & c . Construction and Description of the Tables , Description of Table of Logarithms , · · 215 223 224 Description of Table of Logarithmic Sines , 228 Principles for the Solution of Rectilineal Triangles , 231 ...
Page 215
... cosine of the arc AM : hence , the cosine of an arc is equal to that part of the radius inter- cepted between the centre and foot of the sine . The triangles CAT , CDS , are similar to the equal triangles CPM , CQM ; hence they are ...
... cosine of the arc AM : hence , the cosine of an arc is equal to that part of the radius inter- cepted between the centre and foot of the sine . The triangles CAT , CDS , are similar to the equal triangles CPM , CQM ; hence they are ...
Page 216
... cosine , the cotangent , and the cosecant , diminish . When the point M is at the middle of AD , or when the arc AM is 45 ° , in which case it is equal to its complement MD , the sine MP is equal to the cosine MQ or CP ; and the trian ...
... cosine , the cotangent , and the cosecant , diminish . When the point M is at the middle of AD , or when the arc AM is 45 ° , in which case it is equal to its complement MD , the sine MP is equal to the cosine MQ or CP ; and the trian ...
Page 217
... cosines lie in different directions . The line CP which is the cosine of the arc AM , has the origin of its value at the centre C , and is esti- mated in the direction from C towards A ; while CP ' , the cosine of AM ' has also the ...
... cosines lie in different directions . The line CP which is the cosine of the arc AM , has the origin of its value at the centre C , and is esti- mated in the direction from C towards A ; while CP ' , the cosine of AM ' has also the ...
Page 218
... cosine AM to become negative as soon as the arc AM becomes greater than a quadrant . At the point B the cosine becomes equal to -R ; that is , cos 180 ° -R . For all arcs , such as ADBN ' , which terminate in the third quadrant , the cosine ...
... cosine AM to become negative as soon as the arc AM becomes greater than a quadrant . At the point B the cosine becomes equal to -R ; that is , cos 180 ° -R . For all arcs , such as ADBN ' , which terminate in the third quadrant , the cosine ...
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Common terms and phrases
adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone convex surface Cosine cylinder diagonal diameter dicular distance divided draw drawn equally distant equations equivalent feet figure find the area formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC logarithm number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular perpendicular let fall plane MN polyedron polygon ABCDE PROBLEM proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant segment similar Sine Cotang slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex