Elements of Geometry and Trigonometry |
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Page 6
... Cosines , Tan- gents , & c . 215 Construction and Description of the Tables , 223 Description of Table of Logarithms , · 224 Description of Table of Logarithmic Sines , Principles for the Solution of Rectilineal Triangles , 228 231 ...
... Cosines , Tan- gents , & c . 215 Construction and Description of the Tables , 223 Description of Table of Logarithms , · 224 Description of Table of Logarithmic Sines , Principles for the Solution of Rectilineal Triangles , 228 231 ...
Page 209
... 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 210
... 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 211
... 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 212
... 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 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 ...
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Common terms and phrases
adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book centre chord circ circumference circumscribed common cone convex surface Cosine Cotang cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides oblique lines opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE prism proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant secant line segment side BC similar sine solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex