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 2
... trigonometry is greatly facili- tated . For , by imagining a perpendicular let fall from the vertical angle of an oblique angled plane triangle upon the base , or base prolonged , it will at once be manifest that the resolution of triangles ...
... trigonometry is greatly facili- tated . For , by imagining a perpendicular let fall from the vertical angle of an oblique angled plane triangle upon the base , or base prolonged , it will at once be manifest that the resolution of triangles ...
Página 3
... angled triangles having the assigned hypothenuse , and arranging them in different columns of a table , the mag- nitudes of the different parts of any proposed triangle , would become determinable upon the known principles of similar ...
... angled triangles having the assigned hypothenuse , and arranging them in different columns of a table , the mag- nitudes of the different parts of any proposed triangle , would become determinable upon the known principles of similar ...
Página 6
... right line AB is less than any curve line terminated by the same points , and the perpendicular BD less than the hypothenuse AB , of a right angled triangle ADB . ( B ) . The sine BD of an arc AB , is half the chord Br of the double arc ...
... right line AB is less than any curve line terminated by the same points , and the perpendicular BD less than the hypothenuse AB , of a right angled triangle ADB . ( B ) . The sine BD of an arc AB , is half the chord Br of the double arc ...
Página 7
With Their Applications to Heights and Distances Projections of the Sphere, Dialling, Astronomy, the Solution of ... trigonometry . ) ( F ) . The radius , tangent , and secant , constitute a right angled triangle CAT . The cosine ...
With Their Applications to Heights and Distances Projections of the Sphere, Dialling, Astronomy, the Solution of ... trigonometry . ) ( F ) . The radius , tangent , and secant , constitute a right angled triangle CAT . The cosine ...
Página 11
With Their Applications to Heights and Distances Projections of the Sphere, Dialling, Astronomy, the Solution of ... angles of the triangle ABC are equal , and therefore the triangle is equilateral . Conseq . AB radius . B C D T 2 ...
With Their Applications to Heights and Distances Projections of the Sphere, Dialling, Astronomy, the Solution of ... angles of the triangle ABC are equal , and therefore the triangle is equilateral . Conseq . AB radius . B C D T 2 ...
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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