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 5
... sine of an arc is a perpendicular let fall from one extremity upon a diameter passing through the other . 14. The versed sine of an arc is that part of the dia- meter which is intercepted between the foot of the sine and the arc . 15 ...
... sine of an arc is a perpendicular let fall from one extremity upon a diameter passing through the other . 14. The versed sine of an arc is that part of the dia- meter which is intercepted between the foot of the sine and the arc . 15 ...
Página 6
... sine of the arc AB we use sin AB , tangent .... ditto .... secant .... ditto . versed sine ditto cosine ...... ditto cotangent .. ditto ... cosecant .... ditto coversed sine ditto .... 1 tan AB , sec AB , versin AB , COS AB , cot AB ...
... sine of the arc AB we use sin AB , tangent .... ditto .... secant .... ditto . versed sine ditto cosine ...... ditto cotangent .. ditto ... cosecant .... ditto coversed sine ditto .... 1 tan AB , sec AB , versin AB , COS AB , cot AB ...
Página 7
... sine is in its maximum state , being equal to radius , thence called the sine total ; the versed sine is also then equal to the radius ; and the secant and tangent becom- ing incapable of mutually limiting each other , are re- garded as ...
... sine is in its maximum state , being equal to radius , thence called the sine total ; the versed sine is also then equal to the radius ; and the secant and tangent becom- ing incapable of mutually limiting each other , are re- garded as ...
Página 9
... 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 of logarithmic tables which a student ought to possess , I ...
... 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 of logarithmic tables which a student ought to possess , I ...
Página 11
... 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 cosine , AD its versed sine , cr its secant . Then , = 1. Since ACB ...
... 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 cosine , AD its versed sine , cr its secant . Then , = 1. Since ACB ...
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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