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" Projeftiott the Angles made by the Circles on the Surface of the Sphere are equal to the Angles made by their Reprefentatiyes on the plane of the Projection. "
Elements of Plain and Spherical Trigonometry: Together with the Principles ... - Page 56
by John Harris - 1706 - 253 pages
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A Treatise of Trigonometry, Plane and Spherical ...: As Likewise a Treatise ...

Samuel Heynes - Trigonometry - 1716 - 180 pages
...both, there will remain CBA=DBE*e = FBI. ?. e. d, PROP. V. i Tn Stenographic Projeftiott the Angles made by the Circles on the Surface of the Sphere are equal to the Angles made by their Reprefentatiyes on the plane of the Projection. DEMONSTRATION. Suppofe the Eye at A, projsfting the...
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Trigonometry Improv'd, and Projection of the Sphere, Made Easy: Teaching the ...

Henry Wilson - Astronomy - 1720 - 218 pages
...primitive Circle, as well as within it •-, and alfo the Angles made by the Interfeclion of two great Circles on the Surface of the Sphere, are equal to the Angles made by their Reprefentatives on the Plain of the Projection. In any projection, that Circle upon whofe Plain the...
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A System of the Mathematics: Containing the Euclidean Geometry ..., Volume 2

James Hodgson - Astronomy - 1723 - 724 pages
...diflance will be its Radius or Semi-diameter. Prop. LA Theorem In Steretgrapiic Projection, the Angles made by the Circles on the Surface of the Sphere, are equal to the Angles made by their Reprefcntatives on the Plane of thePi eject ion. . Suppofe the Eye at e, projecting the Spherical Angle...
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A Treatise of the Sphere: Shewing how it is Deriv'd from that Theory which ...

John Witty - Spherical projection - 1734 - 250 pages
...deduc'd in the Fir ft Scholium to the Fourth Proportion. For as in Stenographic Projections, the Angles made by the Circles on the Surface of the Sphere, are equal to thofe made by their Reprefentatives upon the Plane of the Projection ; 'tis plain, that if we project...
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