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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Página 17
... plane triangle , as one of the sides , is to another , so is the sine of the angle opposite to the former , to the sine of the angle opposite to the latter . Let ABC be a plane triangle , in which it is required to deter- mine the ...
... plane triangle , as one of the sides , is to another , so is the sine of the angle opposite to the former , to the sine of the angle opposite to the latter . Let ABC be a plane triangle , in which it is required to deter- mine the ...
Página 18
... plane triangle it will be , as the sum of the sides about the vertical angle , is to their difference , so is the tangent of half the sum of the angles at the base , to the tangent of half their difference . By the preceding prop . AC ...
... plane triangle it will be , as the sum of the sides about the vertical angle , is to their difference , so is the tangent of half the sum of the angles at the base , to the tangent of half their difference . By the preceding prop . AC ...
Página 19
... plane triangle it will be , as the base , to the sum of the two other sides , so is the difference of those sides , to the difference of the segments of the base made by a perpendicular let fall from the vertical angle . From the centre ...
... plane triangle it will be , as the base , to the sum of the two other sides , so is the difference of those sides , to the difference of the segments of the base made by a perpendicular let fall from the vertical angle . From the centre ...
Página 21
... triangle ACB . Demit CD per- pendicularly from c upon AB ; make Da DA , and join ca. Then we shall have aв = DB cα ... plane triangles , and will find their applications in the next chapter ; others are useful in the construction of ...
... triangle ACB . Demit CD per- pendicularly from c upon AB ; make Da DA , and join ca. Then we shall have aв = DB cα ... plane triangles , and will find their applications in the next chapter ; others are useful in the construction of ...
Página 24
... Plane Triangles . 1. THERE being in every plane triangle , six things , namely , three sides and three angles , of which some three are given to determine the other three ; and the combinations that can be formed out of six quantities ...
... Plane Triangles . 1. THERE being in every plane triangle , six things , namely , three sides and three angles , of which some three are given to determine the other three ; and the combinations that can be formed out of six quantities ...
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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