Elements of Plane and Spherical Trigonometry: With Their Applications to Heights and Distances Projections of the Sphere, Dialling, Astronomy, the Solution of Equations, and Geodesic OperationsBaldwin, Cradock, and Joy, 1816 - 244 páginas |
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... respectively form . 3dly . The angles formed re- spectively , by planes in which those lines are , or may be imagined to be , comprehended . On the comparison of these three objects depends the solution of the various questions which ...
... respectively form . 3dly . The angles formed re- spectively , by planes in which those lines are , or may be imagined to be , comprehended . On the comparison of these three objects depends the solution of the various questions which ...
Página 4
... respective circle . Definitions . B B 9. Let ACB be a rectilinear angle , if about c as a centre , with any radius CA , a circle be described , inter- secting CA , CB , in A , B , the arc AB is called the measure of the angle ACB . 10 ...
... respective circle . Definitions . B B 9. Let ACB be a rectilinear angle , if about c as a centre , with any radius CA , a circle be described , inter- secting CA , CB , in A , B , the arc AB is called the measure of the angle ACB . 10 ...
Página 25
... of chap . ii . prop . 14 , where it is demonstrated that the sides of plane triangles are respectively proportional to the sines of their opposite angles . C ... In practice if a side be required , begin Solution of its Three Cases . 25.
... of chap . ii . prop . 14 , where it is demonstrated that the sides of plane triangles are respectively proportional to the sines of their opposite angles . C ... In practice if a side be required , begin Solution of its Three Cases . 25.
Página 27
... respectively , and the side between them 408 yards . Required the remaining angle and sides . Construction . On an indefinite right line , set off , from a convenient diagonal scale , the distance AB = 408. From the point a draw a right ...
... respectively , and the side between them 408 yards . Required the remaining angle and sides . Construction . On an indefinite right line , set off , from a convenient diagonal scale , the distance AB = 408. From the point a draw a right ...
Página 28
... respectively . 4. In the preceding operation , instead of adding to- gether the logs . of the second and third terms ... respective columns . This is easily effected in practice by making those re- mainders emphatical in adding downwards ...
... respectively . 4. In the preceding operation , instead of adding to- gether the logs . of the second and third terms ... respective columns . This is easily effected in practice by making those re- mainders emphatical in adding downwards ...
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Términos y frases comunes
altitude angled spherical triangle azimuth base becomes bisect centre chap chord circle circle of latitude computation consequently cos² cosec cosine cotangent declination deduced determine dial diameter difference distance draw earth ecliptic equa equal equation Example find the rest formulæ given side h cos h half Hence horizon hour angle hypoth hypothenuse intersecting latitude logarithmic longitude measured meridian obliq oblique opposite angle parallel perpendicular plane angles plane triangle pole problem prop quadrant radius right angled spherical right angled triangle right ascension right line sec² secant sin A sin sin² sine solid angle sphere spherical excess spherical trigonometry star substyle sun's supposed surface tan² tangent theorem three angles three sides tion triangle ABC values versed sine versin vertical angle whence zenith