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
... cosine of an arc , or the cosines of its multiples , and , therefore , that no terms enter that equation but what by a regular increase and decrease return to their former values ; immediately infers that the moon's " mean motion , and ...
... cosine of an arc , or the cosines of its multiples , and , therefore , that no terms enter that equation but what by a regular increase and decrease return to their former values ; immediately infers that the moon's " mean motion , and ...
Página ix
... cosines of arcs in the same circle are confined within limits , such as the theory of trigo- nometry assigns them . This consideration stamps a value upon the researches in this department of science which they would not otherwise ...
... cosines of arcs in the same circle are confined within limits , such as the theory of trigo- nometry assigns them . This consideration stamps a value upon the researches in this department of science which they would not otherwise ...
Página 5
... cosine of an arc or angle , is the sine of the complement of that arc or angle : the 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 ...
... cosine of an arc or angle , is the sine of the complement of that arc or angle : the 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 ...
Página 6
... cosine , GE the coversed sine , EM the 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 ...
... cosine , GE the coversed sine , EM the 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 ...
Página 7
... cosine , sine , and ra- dius , constitute another right angled triangle CDB , simi- lar to the former . So again , the cotangent , radius , and cosecant , constitute a third right angled triangle MEC , similar to both the preceding ...
... cosine , sine , and ra- dius , constitute another right angled triangle CDB , simi- lar to the former . So again , the cotangent , radius , and cosecant , constitute a third right angled triangle MEC , similar to both the preceding ...
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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