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 iv
... less intellectual labour ( for the fa- tigue of selecting from a fund of valuable materials , and casting the result into one mould , is not slight ) ; but such a work would not have tended to accomplish the purpose I have in view . By ...
... less intellectual labour ( for the fa- tigue of selecting from a fund of valuable materials , and casting the result into one mould , is not slight ) ; but such a work would not have tended to accomplish the purpose I have in view . By ...
Página vii
... less of resemblance , they are all conducted by the same general rules ; and they com- monly lead to universal results , from which particular corollaries are deducible at pleasure . The analytical method is at the same time much the ...
... less of resemblance , they are all conducted by the same general rules ; and they com- monly lead to universal results , from which particular corollaries are deducible at pleasure . The analytical method is at the same time much the ...
Página 3
... less , in all conceivable proportions . 7. Lemma I. Let ACB be a rectilinear angle : if , about the point c as a centre , and with any distance , or radius , CA , a circle be described , intersecting CA , CB , the right lines that ...
... less , in all conceivable proportions . 7. Lemma I. Let ACB be a rectilinear angle : if , about the point c as a centre , and with any distance , or radius , CA , a circle be described , intersecting CA , CB , the right lines that ...
Página 6
... 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 than the chord . For , in the preceding diagram , the circular sector CAB is less than ...
... 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 than the chord . For , in the preceding diagram , the circular sector CAB is less than ...
Página 7
... less than a quadrant , as will be seen in the chapter on analytical plane trigonometry . ) ( F ) . The radius , tangent , and secant , constitute a right angled triangle CAT . The cosine , sine , and ra- dius , constitute another right ...
... less than a quadrant , as will be seen in the chapter on analytical plane trigonometry . ) ( F ) . The radius , tangent , and secant , constitute a right angled triangle CAT . The cosine , sine , and ra- dius , constitute another right ...
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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