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 13
... give CB : BH :: DF : EF or KG ; whence CB KG = BH . DF . The difference of these rectangles is , CB . CK CH.CF - BH ... gives CB . CK ' = CH . CF + BH . DF , which is the second part of the proposition . Cor . When AB and BC are equal ...
... give CB : BH :: DF : EF or KG ; whence CB KG = BH . DF . The difference of these rectangles is , CB . CK CH.CF - BH ... gives CB . CK ' = CH . CF + BH . DF , which is the second part of the proposition . Cor . When AB and BC are equal ...
Página 17
... give AC : CB :: AD : DH :: rad : sin a ; and AB : BC :: AR : RT :: rad : tan A. Cor . To the hypothenuse as a radius , each leg is the sine of its opposite angle ; and to one of the legs as a radius , the other leg is the tangent of its ...
... give AC : CB :: AD : DH :: rad : sin a ; and AB : BC :: AR : RT :: rad : tan A. Cor . To the hypothenuse as a radius , each leg is the sine of its opposite angle ; and to one of the legs as a radius , the other leg is the tangent of its ...
Página 22
... gives ⚫0002908882086657 , for the arc of 1 minute . Of so small an arc the sine , chord , and arc , differ almost im- perceptibly from the ratio of equality ; so that the first ten of the preceding figures , that is , 0002908882 may be ...
... gives ⚫0002908882086657 , for the arc of 1 minute . Of so small an arc the sine , chord , and arc , differ almost im- perceptibly from the ratio of equality ; so that the first ten of the preceding figures , that is , 0002908882 may be ...
Página 26
... - formed , upon a scale of moderate size , give the sides to within their 200th part , and the angles true to within half a degree . Note 4. The triangle being carefully constructed , and marked 26 Plane Trigonometry .
... - formed , upon a scale of moderate size , give the sides to within their 200th part , and the angles true to within half a degree . Note 4. The triangle being carefully constructed , and marked 26 Plane Trigonometry .
Página 28
... gives 13 ; set down 3 : carry 1 , and seven are 8 , and 6 are 14 , and 9 are 23 ; set down 3 : carry 2 , and five are 7 , and 8 are 15 : and so on , to the left hand column , which added in the same way amounts to 12 ; of which the 2 ...
... gives 13 ; set down 3 : carry 1 , and seven are 8 , and 6 are 14 , and 9 are 23 ; set down 3 : carry 2 , and five are 7 , and 8 are 15 : and so on , to the left hand column , which added in the same way amounts to 12 ; of which the 2 ...
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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