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 6
... chord is less than the arc , and the sine less than the chord . For , in the preceding diagram , the circular sector CAB is less than the triangle CAT , the former being con- tained within the latter . That is , by the rules for men ...
... chord is less than the arc , and the sine less than the chord . For , in the preceding diagram , the circular sector CAB is less than the triangle CAT , the former being con- tained within the latter . That is , by the rules for men ...
Página 9
... chord of any arc is a mean proportional be- tween the versed sine of that arc and the diameter of the circle . * The nature and use of logarithms being fully explained in Dr. Hutton's valuable work , and , indeed , in every collection ...
... chord of any arc is a mean proportional be- tween the versed sine of that arc and the diameter of the circle . * The nature and use of logarithms being fully explained in Dr. Hutton's valuable work , and , indeed , in every collection ...
Página 10
... chord , and AD is the versed sine of the arc AB . BL being joined the angle LBA in a semicircle is a right angle , and is therefore equal to angle BDA , BD being perpendicular to LA . Hence , the triangles BDA , LBA , are similar , and ...
... chord , and AD is the versed sine of the arc AB . BL being joined the angle LBA in a semicircle is a right angle , and is therefore equal to angle BDA , BD being perpendicular to LA . Hence , the triangles BDA , LBA , are similar , and ...
Página 11
... chord of 60 ° is equal to the radius of the cir- cle ; the versed sine , and cosine of 60 ° are each equal to half the radius ; and the secant of 60 ° is equal to double the radius . Let AB be an arc of 60 ° , AB its chord , CD its ...
... chord of 60 ° is equal to the radius of the cir- cle ; the versed sine , and cosine of 60 ° are each equal to half the radius ; and the secant of 60 ° is equal to double the radius . Let AB be an arc of 60 ° , AB its chord , CD its ...
Página 22
... 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 regarded as the sine of 1 ' ; and in fact the sine given in the tables which run ...
... 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 regarded as the sine of 1 ' ; and in fact the sine given in the tables which run ...
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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