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 viii
... former values ; immediately infers that the moon's " mean motion , and the greatest quantities of the several equations , undergo no change from gra- vity . " Frisi advanced still farther in the same line of induction . And farther yet ...
... former values ; immediately infers that the moon's " mean motion , and the greatest quantities of the several equations , undergo no change from gra- vity . " Frisi advanced still farther in the same line of induction . And farther yet ...
Página 6
... 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 similar way it may ...
... 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 similar way it may ...
Página 7
... former . So again , the cotangent , radius , and cosecant , constitute a third right angled triangle MEC , similar to both the preceding . Hence , when the sine and radius are known , the cosine is determined by Euc . i . 47. The same ...
... former . So again , the cotangent , radius , and cosecant , constitute a third right angled triangle MEC , similar to both the preceding . Hence , when the sine and radius are known , the cosine is determined by Euc . i . 47. The same ...
Página 12
... former being equal to CFG , which is the complement to EFC , and the latter being also a complement to the same angle . Hence , CB : CH :: DF : DE , and conseq . CB , DECH , DF . But , since as above , CB . EK = BH . CF , and CB . DE ...
... former being equal to CFG , which is the complement to EFC , and the latter being also a complement to the same angle . Hence , CB : CH :: DF : DE , and conseq . CB , DECH , DF . But , since as above , CB . EK = BH . CF , and CB . DE ...
Página 17
... former , to the sine of the angle opposite to the latter . Let ABC be a plane triangle , in which it is required to deter- mine the relation which subsists between the sides AC and BC . ' c With the angular point A as a Gƒ Ad H B centre ...
... former , to the sine of the angle opposite to the latter . Let ABC be a plane triangle , in which it is required to deter- mine the relation which subsists between the sides AC and BC . ' c With the angular point A as a Gƒ Ad H B centre ...
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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