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
... 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. The tangent of an arc is a right line which touches it in one extremity , and is limited by a right line drawn from ...
... 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. The tangent of an arc is a right line which touches it in one extremity , and is limited by a right line drawn from ...
Página 6
... versed sine ditto cosine ...... ditto cotangent .. ditto ... cosecant .... ditto coversed sine ditto .... 1 tan AB , sec AB , versin AB , COS AB , cot AB , cosec AB , coversin AB . Corollaries from the Definitions . 19. ( A ) . Of any ...
... versed sine ditto cosine ...... ditto cotangent .. ditto ... cosecant .... ditto coversed sine ditto .... 1 tan AB , sec AB , versin AB , COS AB , cot AB , cosec AB , coversin AB . Corollaries from the Definitions . 19. ( A ) . Of any ...
Página 7
... sine , tangent , and versed sine , are evanescent also , and the secant be- comes equal to the radius , being its minimum limit . As the arc increases from this state , the sines , tangents , secants , and versed sines , increase ; thus ...
... sine , tangent , and versed sine , are evanescent also , and the secant be- comes equal to the radius , being its minimum limit . As the arc increases from this state , the sines , tangents , secants , and versed sines , increase ; thus ...
Página 9
... 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 of logarithmic tables which a student ought to possess ...
... 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 of logarithmic tables which a student ought to possess ...
Página 10
... 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 we have AD : AB :: AB ...
... 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 we have AD : AB :: AB ...
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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