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Books Books 1 - 4 of 4 on The radius of projection of any other great circle is the secant of the angle between....
" The radius of projection of any other great circle is the secant of the angle between the plane of the circle -and the plane of projection. From these Arts, it appears, that the projection of the parts of the sphere will not properly represent, in magnitude... "
A Synopsis of Practical Philosophy: Alphabetically Arranged, Containing a ... - Page 217
by John Carr - 1843 - 390 pages
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A Complete System of Astronomy, Volume 2

Samuel Vince - Astronomia - 1814
...sin. PB = 2 cosec. Pfl = 2 sec. QB; therefore DK = sec. QB. Hence, the radius of projection of any great circle is the secant of the angle between the...the circle and the plane of projection. From these four articles it appears, that the projection of the parts of the sphere will not properly represent...
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The American Statistical Arithmetic: Designed for Academies and Schools

Francis Henney Smith - Arithmetic - 1845 - 276 pages
...4. The projection of every great circle passing through the pole is a straight line. 5. The radius of projection of any other great circle is the secant...parts of the sphere will not properly represent, in magnitude and situation, the parts themselves. G. If the place of the eye be the pole of the earth,...
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A Treatise on Plane Co-ordinate Geometry as Applied to the Straight Line and ...

Isaac Todhunter - Conic sections - 1874 - 358 pages
...therefore, by Art. 371, the ellipse can be obtained by projection from a circle of radius a; and the cosine of the angle between the plane of the circle and the plane of the ellipse is - . The area of the circle is known to be тга2 ; see Trigonometry. Hence, by Art....
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Mesuration and Elementary Solid Geometry for Schools

...minor axis. Since ' OB OB' b D hence : The ratio of the minor axis to the major axis gives the cosine of the angle between the plane of the circle and the plane of projection. MM 7 98 [CH. Since the area of the ellipse is equal to the area of the circle multiplied by cos 6,...
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