 | Charles Hutton - Mathematics - 1822 - 680 pages
...therefore called the horizontal projection of the straight line r$. From this construction it is plain that the projection of a straight line on a plane is a straight line on the plane passing through the projections on the same plane of any two points of the proposed straight... | |
 | Charles Hutton - Geometry - 1826 - 682 pages
...called the horizontal projection of the straight line PCJ. Krotn this construction it is plain that the projection of a straight line on a plane is a straight line on the plane passing through the projections on the same plane of any two points of the proposed straight... | |
 | Pierce Morton - Geometry - 1830 - 584 pages
...surfaces . . 19* 375. The position of a point referred to three co-ordinate planes . 197 376. 7, 8. The projection of a straight line on a plane is a straight line. If AB be the line, its projection on a plane or line is AB cos. 6 ¡95 379. The projection of the diagonal... | |
 | Mathematics - 1835 - 684 pages
...surfaces . • 1" 375. The position of a point referred to three co-ordinate planes . • "' 376. 7, 8. The projection of a straight line on a plane is a straight line. If AB be the line, its projection on a plane or line is А В cos. 6 . . . 1" 379. The projection of... | |
 | André Darré - 1872 - 226 pages
...line on a plane is the line formed by projecting all the points of the line on the plane. THEOREM. The projection of a straight line on a plane is a straight line. Let AB (Fig. 113) be a straight line, and AH, BK two perpendiculars from its extremities to the plane... | |
 | James Maurice Wilson - 1872 - 160 pages
...investigations by Desargues in 1640, and their use very greatly extended by Monge and Poncelet. THEOREM 14. The projection of a straight line on a plane is a straight line. Proof. Let ABC be a straight line, MN a plane, and let P, Q, R be the feet of the perpendiculars from... | |
 | J. B. Millar - Geometry, Descriptive - 1878 - 264 pages
...and the other two shall contain equal angles and their planes shall be parallel . . 12 Theorem XV. The projection of a straight line on a plane is a straight line U Theorem XVI. If two straight lines be parallel to one another, their projections on the same plane... | |
 | James Maurice Wilson - Conic sections - 1880 - 180 pages
...AX : XR :: PQ : QR; therefore AB : BC :: PQ : QR\ THE LINE INCLINED TO THE PLANE. line. THEOREM 16. The projection of a straight line on a plane is a straight Proof. Let ABC be a straight line, MN a plane, and let P, Q, R be the feet of the perpendiculars from... | |
 | James Maurice Wilson - Conic sections - 1885 - 180 pages
...AX : XR :: PQ : QR ; therefore AB : BC :: PQ : QR\ THE LINE INCLINED TO THE PLANE. line. THEOREM 16. The projection of a straight line on a plane is a straight 1 Euclid XI. 17. Proof. Let ABCbe a straight line, MN a plane, and let P, Q, Jt be the feet of the... | |
 | Webster Wells - Geometry - 1886 - 392 pages
...plane. The projection of a line on a plane is the locus (§ 39) of the projections of its points. 483. The projection of a straight line on a plane is a straight line. For by § 470, the perpendiculars to MN from all points of AB lie in the plane ABDC perpendicular to... | |
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The projection of a straight line on a plane is a straight line in that plane. 
