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 xi
... Right angled spherical triangles 86 Sect . 3. Oblique angled ditto . Sect . 4. Analogies of Napier • 08048 89 94 Sect . 5. Mnemonics of spherical trigonometry 98 Sect . 6. Areas of spherical triangles and po- lygons , and measure of ...
... Right angled spherical triangles 86 Sect . 3. Oblique angled ditto . Sect . 4. Analogies of Napier • 08048 89 94 Sect . 5. Mnemonics of spherical trigonometry 98 Sect . 6. Areas of spherical triangles and po- lygons , and measure of ...
Página 2
... angle of an oblique angled 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 ...
... angle of an oblique angled 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 ...
Página 3
... angled triangles having the assigned hypothenuse , and arranging them in different columns of a table , the mag ... right lines that include the angle ACB , in A and B ; the angle ACB will be to four right angles , as the arc AB to the ...
... angled triangles having the assigned hypothenuse , and arranging them in different columns of a table , the mag ... right lines that include the angle ACB , in A and B ; the angle ACB will be to four right angles , as the arc AB to the ...
Página 6
... angle ACB . Note . These terms are indicated by obvious con- tractions : Thus , for sine of the arc AB we use sin AB ... right angled triangle ADB . ( B ) . The sine BD of an arc AB , is half the chord Br of the double arc BAF . ( c ) ...
... angle ACB . Note . These terms are indicated by obvious con- tractions : Thus , for sine of the arc AB we use sin AB ... right angled triangle ADB . ( B ) . The sine BD of an arc AB , is half the chord Br of the double arc BAF . ( c ) ...
Página 7
... right angled 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 ...
... right angled 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 ...
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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