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 viii
... cosec nт , or time ) can enter the analytical expression for any of the inequalities of the planetary motions , or those of their satellites : and have thus proved that the system is stable , all its irregularities being confined within ...
... cosec nт , or time ) can enter the analytical expression for any of the inequalities of the planetary motions , or those of their satellites : and have thus proved that the system is stable , all its irregularities being confined within ...
Página 6
... cosec AB , coversin AB . Corollaries from the Definitions . 19. ( A ) . Of any arc , less than a quadrant , the arc is less than its corresponding tangent ; and of any arc whatever , the chord is less than the arc , and the sine less ...
... cosec AB , coversin AB . Corollaries from the Definitions . 19. ( A ) . Of any arc , less than a quadrant , the arc is less than its corresponding tangent ; and of any arc whatever , the chord is less than the arc , and the sine less ...
Página 8
... cosec√ ( rad2 + cot2 ) . 6. cot = 8. cosec = rad x cos sin rad2 sin regarded as the radius of the 1 ) . 2. tan = √ ( sec2 4. cosec√ ( 1 + cot2 ) . 1 7. sec . 8. cosec = - COS sin 20. From these and other properties and theorems ...
... cosec√ ( rad2 + cot2 ) . 6. cot = 8. cosec = rad x cos sin rad2 sin regarded as the radius of the 1 ) . 2. tan = √ ( sec2 4. cosec√ ( 1 + cot2 ) . 1 7. sec . 8. cosec = - COS sin 20. From these and other properties and theorems ...
Página 39
... cosec = sin 9. Proceeding in this way , a second , a third , & c . time over the circumference of the circle , like muta- tions would occur . The results of the whole may be thus tabulated : - 1st .. .. 5th .. 9th .. 13th 2d .. 6th ...
... cosec = sin 9. Proceeding in this way , a second , a third , & c . time over the circumference of the circle , like muta- tions would occur . The results of the whole may be thus tabulated : - 1st .. .. 5th .. 9th .. 13th 2d .. 6th ...
Página 40
... Cosec ∞ .... ∞ .... 88001 R R R .... 1∞ .... 0 -∞ .... 0 ∞ .... 50 .... R .... 0 0 R ( B. ) R ∞ 11. These particulars premised , the properties and relations of the sines , tangents , & c . of combined and multiple arcs , as well ...
... Cosec ∞ .... ∞ .... 88001 R R R .... 1∞ .... 0 -∞ .... 0 ∞ .... 50 .... R .... 0 0 R ( B. ) R ∞ 11. These particulars premised , the properties and relations of the sines , tangents , & c . of combined and multiple arcs , as well ...
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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