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 2
... base prolonged , it will at once be manifest that the resolution of triangles generally , may be referred to that of ... bases and perpendiculars of all possible right " angled triangles having the assigned hypothenuse , and arranging ...
... base prolonged , it will at once be manifest that the resolution of triangles generally , may be referred to that of ... bases and perpendiculars of all possible right " angled triangles having the assigned hypothenuse , and arranging ...
Página 11
... base . 3. BAT comp . 60 ° BTA ; therefore BT = BA ; and TB + BC = TC = 2BC = 2 radius . Cor . If with the same radius an arc were described from centre B , then CD would become the sine of 30 ° , which is consequently half the radius ...
... base . 3. BAT comp . 60 ° BTA ; therefore BT = BA ; and TB + BC = TC = 2BC = 2 radius . Cor . If with the same radius an arc were described from centre B , then CD would become the sine of 30 ° , which is consequently half the radius ...
Página 18
... base , to the tangent of half their difference . By the preceding prop . AC : BC :: sin B : sin A , .. by comp , and div . AC + BC : AC - BC :: sin B + sin a : sin B sin A. But , ( prop . 11 ) sin B + 18 Plane Trigonometry .
... base , to the tangent of half their difference . By the preceding prop . AC : BC :: sin B : sin A , .. by comp , and div . AC + BC : AC - BC :: sin B + sin a : sin B sin A. But , ( prop . 11 ) sin B + 18 Plane Trigonometry .
Página 19
... 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 c ( namely , the vertical angle of ...
... 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 c ( namely , the vertical angle of ...
Página 20
... base AB , is equal to twice the rect- angle BC . CD . But twice the rectangle BC . CA , is to twice the rectangle BC . CD , that is , to the difference of the sum of the squares of AC , BC , and the square of AB , as CA to CD ; that is ...
... base AB , is equal to twice the rect- angle BC . CD . But twice the rectangle BC . CA , is to twice the rectangle BC . CD , that is , to the difference of the sum of the squares of AC , BC , and the square of AB , as CA to CD ; that is ...
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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