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" R, so that PR is equal to MN. Now the inclination of a straight line to a plane is the angle which the line makes with the intersection of the plane and a plane perpendicular to it passing through the line. Since, then, PM and QN are perpendicular to... "
A Treatise on the Application of Analysis to Solid Geometry - Pągina 10
per Duncan Farquharson Gregory, William Walton - 1845 - 276 pągines
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Elementary Illustrations of the Celestial Mechanics of Laplace: Part the ...

Pierre Simon marquis de Laplace, Thomas Young - 1821 - 402 pągines
...planes, perpendicular to the common section, are perpendicular to the other plane. 147. DEFINITION. The inclination of a straight line to a plane is the angle, contained by that line, and another straight line drawn from its intersection with the plane to the...
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A treatise on the application of analysis to solid geometry, commenced by D ...

Duncan Farquharson Gregory - 1845 - 364 pągines
...each other ; in the plane therefore in which they lie draw PR parallel to MN, and meeting Q^Vin R, so that PR is equal to MN. Now the inclination of...perpendicular to it, and the inclination of PQ to the plane AS CD is measured by the angle between PQ and MN or the equal angle QPR. Let this be 0, then in the...
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A treatise on the application of analysis to solid geometry, commenced by D ...

Duncan Farquharson Gregory - 1852 - 352 pągines
...other; in the plane therefore in which they lie draw PR parallel to MN, and meeting QN in R, so that PE is equal to MN. Now the inclination of a straight...perpendicular to it, and the inclination of PQ to the plane ABCD is measured by the angle between PQ and MN or the equal angle QPR. Let this be в, then in the...
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A Second Book in Geometry

Thomas Hill - 1863 - 136 pągines
...is said to be parallel to the plane. nor parallel to it, makes an angle with it, said to be equal to the angle which the line makes with the intersection of the plane by a perpendicular plane, including the given line. 360. When two parallel planes are cut by a third,...
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Plane and solid geometry, by G.E. Webster and A. Gardiner

George E. Webster - 1874 - 136 pągines
...other plane. 6. The angle between two planes ia called the dihedral angle and the profile angle. 7. The inclination of a straight line to a plane is the angle contained by the straight line. and its projection upon the plane. NOTATION. A point in space is indicated...
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Practical Geometry and Graphics for Advanced Students

Joseph Harrison, George Albert Baxandall - 1913 - 714 pągines
...which is projected is straight, the projecting surface is called the projecting plane. Definition 8. The inclination of a straight line to a plane is the angle between the line and its orthographic projection on the plane. Definition 9. The angle between two...
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The Thirteen Books of Euclid's Elements

562 pągines
...vipat rijt tvOfiay n'tlhla i7ri£tv\&jj, 17 irtpitxofifvi) yiavLa. viro rfjs BOOK XI In other words, the inclination of a straight line to a plane is the angle between the straight line and its projection on the plane. This angle is of course less than the angle...
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The Cambridge Series for School and Training Colleges , Geometrical Drawing

160 pągines
...line. A perspective view of (220) is given in (219). 217. , 218. ,YX VT fix 219. 220. I*' a' o HTa VTt0 The inclination of a straight line to a plane is the angle between the straight line itself and its projection upon the plane. The angle made by a straight line...
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