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" Projection of a great circle is in the line of meafures, diftant from the center of the primitive, the tangent of its inclination to the primitive -, and its radius is the fecant of its inclination. "
The projection of the sphere, orthographic, stererographic, and gnomonical ... - Σελίδα 16
των William Emerson - 1769 - 57 σελίδες
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A Treatise of Trigonometry: Plane and Spherical, Theoretical and Practical ...

Samuel Heynes - 1701 - 334 σελίδες
...Projection were to he proje- PШе\Щ. fted 3 The Center of its Reprefentation Fig. 1. o1nhe Plane {hall he in the Line of Meafures diftant from the Center of the Primitive Circle hy the Secant of that leffer Circles diftance from its Pole, and its Semidiameter lhall he equal...

A Treatise of Trigonometry, Plane and Spherical ...: As Likewise a Treatise ...

Samuel Heynes - 1716 - 180 σελίδες
...were to be projeA- Plute VHI« ed ; thelCenter of its Reprefentation on the" Fig. I. Plane fliafl be in the Line of Meafures diftant from the Center of the Primitive Circle by the Secant ot that leffer Circles diftance from its 'Pole, and its Semidiameter (hall be...

Cyclomathesis: Or, An Easy Introduction to the Several Branches of ..., Τόμος 7

William Emerson - 1769 - 370 σελίδες
...co-tangent oTGA'C, or half EB. " -. -.'.? -,.-"> .-.• Cor. 2. Hence the center p of. e^pvpje.tlfd circle is in the line' of meafures 'diftant, from the center of the primitive, half the difference of ike femi-tangent s of, its neartft and greateft diftan.ce from the appofite...

A Complete System of Land-surveying: Both in Theory and Practice ...

Thomas Breaks - 1771 - 646 σελίδες
...Center, PROP. IV. 'The projefied Center of any leffer Circle perpendicular tt the Plane of Projection, is in the Line of Meafures, diftant from the Center of the Primitive, the Secant of the lejfe.f Circle's "Dijlance from its own Pole, and its J?adius is the Tangent of the faid...

Tracts: Containing: I. Mechanics, Or the Doctrine of Motion: II.

William Emerson - 1793 - 386 σελίδες
...of interfection. PROP. V. The center of a projected (leffer) circle perpendicular to the primitive, is in the line of meafures diftant from the center of the primitive, the fecant of the leffer circles diftance from its own pole; and its radius is the tangent of that diftance....

Trigonometry, Plane and Spherical: With the Construction and Application of ...

Thomas Simpson - 1810 - 168 σελίδες
...VI. The centre of projection of a great circle is in the line of measures, distant from the centre of the primitive* the tangent of its inclination to the primitive ; and its radius is the secant of its inclination. Let AID (fig. 46.) be the primitive, C its centre, AGB the projected great...

A Treatise on Plane and Spherical Trigonometry: Including the Construction ...

Enoch Lewis - 1844 - 240 σελίδες
...circle will be projected into a circle whose centre is in the line of measures, distant from the centre of the primitive, the tangent of its inclination to the primitive, and the radius of the projected circle is the secant of that inclination. Let, as before, A be the projecting...




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