Elements of Geometry and Trigonometry |
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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 222
... cosines CP , CP ' , are equal and have contrary signs ; and the same cosine CP answers to the two arcs AM , AN , whose sines MP , PN , are also equal , and have contrary signs . Thus , for example , having found sin 30 ° -R , we may de ...
... cosines CP , CP ' , are equal and have contrary signs ; and the same cosine CP answers to the two arcs AM , AN , whose sines MP , PN , are also equal , and have contrary signs . Thus , for example , having found sin 30 ° -R , we may de ...
Contents
BOOK | 7 |
Problems relating to the First and Third Books 57 | 57 |
BOOK IV | 68 |
14 other sections not shown
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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 consequently convex surface cosine Cotang 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 number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE PROBLEM Prop proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant segment similar sine slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line TABLE OF LOGARITHMIC tang tangent THEOREM triangle ABC triangular prism vertex