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 108
... bodies . In these bodies , if m be the number of sides of each face ; n the number of planes which meet at each solid angle ; half the circumference or 180 ° ; and A the plane angle made by two adjacent faces then we have sin ja = COS ...
... bodies . In these bodies , if m be the number of sides of each face ; n the number of planes which meet at each solid angle ; half the circumference or 180 ° ; and A the plane angle made by two adjacent faces then we have sin ja = COS ...
Página 120
... body is an arc of the equinoctial , intercepted between one of the equi- noxes , and a declination circle passing through the body ; it is measured according to the order of the sun's apparent motion through the twelve signs . 17. The ...
... body is an arc of the equinoctial , intercepted between one of the equi- noxes , and a declination circle passing through the body ; it is measured according to the order of the sun's apparent motion through the twelve signs . 17. The ...
Página 121
... body from the north or south points is the azimuth of that body ; the distance of the same circle from the east or west points is the ampli- tude . 25. In order to represent on a plane the celestial sphere with all its circles great and ...
... body from the north or south points is the azimuth of that body ; the distance of the same circle from the east or west points is the ampli- tude . 25. In order to represent on a plane the celestial sphere with all its circles great and ...
Página 134
... body , whether plane , an- gular , or curved , a sun - dial , that is , a figure , the dif ferent lines of which , when the sun shines , indicate by the shadow of a style or gnomon the time of the day . 2. The general principles which ...
... body , whether plane , an- gular , or curved , a sun - dial , that is , a figure , the dif ferent lines of which , when the sun shines , indicate by the shadow of a style or gnomon the time of the day . 2. The general principles which ...
Página 152
... bodies by means of their right ascension and their observed declination . Afterwards , as it was found that a consi- derable portion of the celestial phenomena relative to the planetary system , occur in the plane of the ecliptis , or ...
... bodies by means of their right ascension and their observed declination . Afterwards , as it was found that a consi- derable portion of the celestial phenomena relative to the planetary system , occur in the plane of the ecliptis , or ...
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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