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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Resultados 6-10 de 67
Página 15
... drawn parallel to the diameter A AA ' . Draw ID , IE , from the cen- tre 1 with the radius CA of the as- sumed circle , describe an arc dbe , and through b draw Loм parallel - D B N G K L M - BG BCD to DE . Then , it is evident that NE ...
... drawn parallel to the diameter A AA ' . Draw ID , IE , from the cen- tre 1 with the radius CA of the as- sumed circle , describe an arc dbe , and through b draw Loм parallel - D B N G K L M - BG BCD to DE . Then , it is evident that NE ...
Página 17
... draw DH , TR , рer- pendicular to AB . Then DH is the sine , TR the tangent , and AT the secant , of the AHR arc DR , or angle A : and the similar tri- angles ABC , ART , AHD , give AC : CB :: AD : DH :: rad : sin a ; and AB : BC :: AR ...
... draw DH , TR , рer- pendicular to AB . Then DH is the sine , TR the tangent , and AT the secant , of the AHR arc DR , or angle A : and the similar tri- angles ABC , ART , AHD , give AC : CB :: AD : DH :: rad : sin a ; and AB : BC :: AR ...
Página 18
... draw also CA parallel to CB , and from the point of intersection e ( of that line with the circle ) demit the ... drawing a figure for each case , it will be seen that the circumstance of any one of the angles being obtuse will make no ...
... draw also CA parallel to CB , and from the point of intersection e ( of that line with the circle ) demit the ... drawing a figure for each case , it will be seen that the circumstance of any one of the angles being obtuse will make no ...
Página 19
... draw AD per- pendicular to the opposite side BC : then ( Euc . ii . 12 , 13 ) the difference of the sum of the squares of AC , CB , and the square of A D D the base AB , is equal to twice the General Properties of Lines and Angles . 19.
... draw AD per- pendicular to the opposite side BC : then ( Euc . ii . 12 , 13 ) the difference of the sum of the squares of AC , CB , and the square of A D D the base AB , is equal to twice the General Properties of Lines and Angles . 19.
Página 20
... draw DE , de , IK , ik , perpendi- cular to BC . Then , it is evident , since K IA = AD , and CA perpendicular to BD , that CI CD , ICA DCA , and there- fore BCI BCA ACD : also that ed is the sine of the sum of the given angles , and ik ...
... draw DE , de , IK , ik , perpendi- cular to BC . Then , it is evident , since K IA = AD , and CA perpendicular to BD , that CI CD , ICA DCA , and there- fore BCI BCA ACD : also that ed is the sine of the sum of the given angles , and ik ...
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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