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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... angles of circles and plane triangles III . Solutions of the several cases of plane tri- angles · Page 1 9 24 36 • 61 IV . Plane trigonometry considered analytically V. Application of plane trigonometry to the determination of heights ...
... angles of circles and plane triangles III . Solutions of the several cases of plane tri- angles · Page 1 9 24 36 • 61 IV . Plane trigonometry considered analytically V. Application of plane trigonometry to the determination of heights ...
Página 1
... plane , constitute angles limited by right lines , and plane or rectilinear triangles , or polygons suscep- tible of being resolved into triangles . And the inter- sections of three or more planes , form plane angles and triedral or ...
... plane , constitute angles limited by right lines , and plane or rectilinear triangles , or polygons suscep- tible of being resolved into triangles . And the inter- sections of three or more planes , form plane angles and triedral or ...
Página 2
... angles or sides , which enter the constitution of a rectilinear tri- angle ... plane or rectilinear trigonometry : that of the second , to spherical ... plane triangle upon the base , or base prolonged , it will at once be manifest that ...
... angles or sides , which enter the constitution of a rectilinear tri- angle ... plane or rectilinear trigonometry : that of the second , to spherical ... plane triangle upon the base , or base prolonged , it will at once be manifest that ...
Página 3
... arc AD , and , Euc . v . 4 , cor . quadrupling the consequents , we have , angle ACB : 4 right angles :: arc AB : + AD , that is , to the whole circumference . 8. Lemma II . Let ACB be a rectilinear angle B 2 Plane Trigonometry . 3.
... arc AD , and , Euc . v . 4 , cor . quadrupling the consequents , we have , angle ACB : 4 right angles :: arc AB : + AD , that is , to the whole circumference . 8. Lemma II . Let ACB be a rectilinear angle B 2 Plane Trigonometry . 3.
Página 4
... angle ACB : 4 right angles , and , arc A'B ' : its whole circum . :: angle A'CB ' : 4 right angles . Therefore , arc AB : whole circum . :: arc A'B ' : whole circum . of its respective circle . Definitions . B B 9. Let ACB be a rectilinear ...
... angle ACB : 4 right angles , and , arc A'B ' : its whole circum . :: angle A'CB ' : 4 right angles . Therefore , arc AB : whole circum . :: arc A'B ' : whole circum . of its respective circle . Definitions . B B 9. Let ACB be a rectilinear ...
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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