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 |
Dentro del libro
Resultados 1-5 de 10
Página 5
... cotangent of an arc or angle is the tangent of the complement of that arc or angle . The co - versed sine , and co - secant are de fined similarly . E M B G To exemplify these definitions by the annexed dia- gram : let AB be an assumed ...
... cotangent of an arc or angle is the tangent of the complement of that arc or angle . The co - versed sine , and co - secant are de fined similarly . E M B G To exemplify these definitions by the annexed dia- gram : let AB be an assumed ...
Página 6
... cotangent , and cм the cosecant , of the arc AB , or , by convention , of the angle ACB . Note . These terms are indicated by obvious con- tractions : Thus , for sine of the arc AB we use sin AB , tangent .... ditto .... secant ...
... cotangent , and cм the cosecant , of the arc AB , or , by convention , of the angle ACB . Note . These terms are indicated by obvious con- tractions : Thus , for sine of the arc AB we use sin AB , tangent .... ditto .... secant ...
Página 7
... cotangent , radius , and cosecant , constitute a third right angled triangle MEC , similar to both the preceding . Hence , when the sine and radius are known , the cosine is determined by Euc . i . 47. The same may be said of the ...
... cotangent , radius , and cosecant , constitute a third right angled triangle MEC , similar to both the preceding . Hence , when the sine and radius are known , the cosine is determined by Euc . i . 47. The same may be said of the ...
Página 15
... cotangent of half the sum of those two arcs , is to the cotangent of half their difference . For , the cosines being the sines of the complements , it follows from the proposition that the sum of the co- sines , is to their difference ...
... cotangent of half the sum of those two arcs , is to the cotangent of half their difference . For , the cosines being the sines of the complements , it follows from the proposition that the sum of the co- sines , is to their difference ...
Página 53
... cotangent of half the given angle , the sum will be the log . tangent of half the difference of the other two angles of the plane triangle . 38. Let us next return to the equation ( 1 ) in art . 11 of this chapter ; namely , a = b eos c ...
... cotangent of half the given angle , the sum will be the log . tangent of half the difference of the other two angles of the plane triangle . 38. Let us next return to the equation ( 1 ) in art . 11 of this chapter ; namely , a = b eos c ...
Otras ediciones - Ver todas
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