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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... plane triangle upon the base , or base prolonged , it will at once be manifest that the resolution of triangles generally , may be referred to that of right angled triangles . Thus , as- suming for a term of comparison , the hypothenuse ...
... plane triangle upon the base , or base prolonged , it will at once be manifest that the resolution of triangles generally , may be referred to that of right angled triangles . Thus , as- suming for a term of comparison , the hypothenuse ...
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... PLANE TRIGONOMETRY . 6. Plane trigonometry is that branch of mathematics , by which we learn how to determine or compute three of the six parts of a plane , or rectilinear triangle , from the other three ; when that is possible . This ...
... PLANE TRIGONOMETRY . 6. Plane trigonometry is that branch of mathematics , by which we learn how to determine or compute three of the six parts of a plane , or rectilinear triangle , from the other three ; when that is possible . This ...
Página 6
... triangle CAT , the former being con- tained within the latter . That is , by the rules for men- suration of surfaces , ¿ CA × arc AB is less than ¿ CA × tan AT ; whence , dividing by CA , there results arc AB less than tangent AT . In a ...
... triangle CAT , the former being con- tained within the latter . That is , by the rules for men- suration of surfaces , ¿ CA × arc AB is less than ¿ CA × tan AT ; whence , dividing by CA , there results arc AB less than tangent AT . In a ...
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... triangle CAT . The 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 ...
... triangle CAT . The 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 ...
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... triangle ABC are equal , and therefore the triangle is equilateral . Conseq . AB radius . B C D T 2. CD DA = CA , because in an isosceles or equi- lateral triangle the perp . bisects the base . 3. BAT comp . 60 ° BTA ; therefore BT = BA ...
... triangle ABC are equal , and therefore the triangle is equilateral . Conseq . AB radius . B C D T 2. CD DA = CA , because in an isosceles or equi- lateral triangle the perp . bisects the base . 3. BAT comp . 60 ° BTA ; therefore BT = BA ...
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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