 | Charles Davies - Geometry, Descriptive - 1840 - 260 pages
...distance. THEOREM VII. The extremities of a diameter of a small circle oblique to the primitive plane are projected in its line of measures, at distances from the centre oftlie primitive circle equal to the semitangent of the inclination plus the polar distance, and the... | |
 | Charles Davies, William Guy Peck - Mathematics - 1855 - 628 pages
...is oblique to the primitive plane. The extremities of a diameter of the projection are found in the line of measures at distances from the centre of the primitive circle, one equal to the semi-tangent of the circle's inclination, plus its polar distance, and the other at... | |
 | Albert Ensign Church - Geometry, Descriptive - 1865 - 214 pages
...CM. But that is, the orthographic projection of any point of the surface of a sphere is at a distance from the centre of the primitive circle equal to the sine of its polar distance. 197. The circumference of a circle, oblique to the primitive plane, is projected into... | |
 | Albert Ensign Church - Geometry, Descriptive - 1865 - 160 pages
...CM. But that is, the orthographic projection of any point of the surface of a sphere is at a distance from the centre of the primitive circle equal to the sine of its polar distance. 197. The circumference of a circle, oblique to the primitive plane, is projected into... | |
 | Albert Ensign Church - Geometry, Descriptive - 1867 - 210 pages
...CM. But that is, the orthographic projection of any point of the surface of a sphere is at a distance from the centre of the primitive circle equal to the sine of its polar distance. 197. The circumference of a circle, oblique to the primitive plane, is projected into... | |
 | Charles Davies - Geometry, Descriptive - 1868 - 258 pages
...intercepted between the point on the surface of the sphere and either Dole of the primitive c-xcle. The poles of any circle are projected in its line...the poles and perpendicular to the primitive plane ( 1 76). They are projected at distances from the centre of the primitive circle equal to the sine... | |
 | Albert Ensign Church - Mathematics - 1868 - 205 pages
...follows that either pole of a circle is orthographically projected in its line of measures, at a distance from the centre of the primitive circle equal to the sine of its inclination, Art. (196). 199. PROBLEM 59. To project the sphere upon the plane of any one of its great circles.... | |
 | Albert Ensign Church - Mathematics - 1868 - 222 pages
...CM. But that is, the orthographic projection of any point of the surface of a sphere is at a distance from the centre of the primitive circle equal to the sine of its polar distance. 197. The circumference of a circle, oblique to the primitive plane, is projected into... | |
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... infinite distance from this circle, the projections of the sphere are orthographic, Art. (2). If E, Fig. 85, be any point, e will be its orthographic projection on the plane of a circle whose axis is CM. But that is, the orthographic projection of... 