The projection of the sphere, orthographic, stererographic, and gnomonical; both demonstrating the principles, and explaining the practice of these three several sorts of projectionJ. Nourse, 1769 - 57 σελίδες |
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The Projection of the Sphere, Orthographic, Stererographic, and Gnomonical ... William Emerson Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2020 |
Συχνά εμφανιζόμενοι όροι και φράσεις
alſo altitude azimuth becauſe bifect center of projection circle parallel circle perpendicular circle required circle's diſtance circles paffing thro co-tangent cofine confequently defcribe the circle diameter draw the line drawn thro E. D. Cor ecliptic ellipfis equinoctial external pole fame fecant femi-tangent fet the tangent fide fimilar fince fome given angle given circle given degrees given point Gnomonical Projection half the difference half the fum hemifphere horizon hyperbola inclination interfection jection leffer circle line of meaſures meridian number of degrees o'clock oblique circle oppofite paffes parabola parallel great circle pendicular perpendicular plane of projection pole of projection primitive circle Prob projected center projected poles projecting point Prop radius of projection rallel reprefent reprefentation right angle right circle Rule SCHOLIUM Sphere Spherical Trigonometry theſe tranfverfe triangles vertex whofe whoſe
Δημοφιλή αποσπάσματα
Σελίδα 16 - 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.
Σελίδα 19 - N1H 26. is as far from the projecting point as QH from its pole P ; and if they be projected into the circles...
Σελίδα 16 - The points where an inclined great circle \ $. cuts the line of tneafures, within and without the primitive, is diftant from the center of the primitive, the tangent and co-tangent of half the complement of the circle's inclination to the primitive. For CG = tangent of half EB, or of half the complement of IE the inclination. And (becaufe the Z.EAF is right) CH is the co-tangent of GAC or half EB.
Σελίδα 15 - C, draw the plane of a great circle PED, perpendicular to the plane of projection EFG ; let a plane PHG touch the sphere in P ; then since the circle EPD is perpendicular both to this plane and to the plane of projection, it is perpendicular to their common section GH.
Σελίδα 16 - GAH considered as a primitive, and RS its line of measures ; as the circle BGA is on the primitive BIA, and line of measures ID. And therefore the tangent of the angle AGL to the radius GD> set from D to N, gives the centre of GL.
Σελίδα 33 - PI be parallel to the plane GF. Then the equal arches PC, CI are projected into the equal tangents GC, CH...
Σελίδα 16 - Jphere, is equal to the angle made by the radii of their •projections at the point of interfection.
Σελίδα 15 - Through the angular point P and the center C, draw the plane of a great circle PED perpendicular to the plane of projection EFG. Let a plane PHG touch the fphere in...
Σελίδα 16 - Plane {hall he in the Line of Meafures diftant from the Center of the Primitive...
Σελίδα 16 - F,F are projefted into D and d ; and CD is the tangent of CAD or half BCP, that is, of half GCI, the inclination of the circle ICK, parallel to EF. Likewife Cd is the tangent of CAd, or the co-tangent of CAD.