 The acute angle which a line makes with its own projection on a plane is the least angle which it makes with any line in that plane. Given the line AB, cutting plane P at 0, A'B' the projection of AB on P, and XX' any other line in P, through 0.  Solid Geometry, with Problems and Applications - Page 33by Herbert Ellsworth Slaught, Nels Johann Lennes - 1919 - 211 pagesFull view - About this book
 | Wooster Woodruff Beman, David Eugene Smith - 1903 - 158 pages
...no three of which are coplanar ? PROPOSITION XIII. 348. Theorem. The acute angle which a line makes with its own projection on a plane is the least angle which it makes with any line in that plane. /.A Given the line AB, cutting plane P at O, A'B' the projection of AB on P, and XX' any other line... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1900 - 395 pages
...coplanar ? SOLID GEOMETRY. [BK. VI. PROPOSITION XIII. 348. Theorem. The acute angle which a line makes with its own projection on a plane is the least angle which it makes with any line in that plane. /.A Given the line AB, cutting plane P at 0, AB; the projection of AB on P, and XX1 any other line... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 248 pages
...PROPOSITION XXIV. THEOREM. 567. The acute angle ivhich a straight line makes with its projection upon a plane is the least angle which it makes with any line of the plane. Let BA meet the plane MN at A, and let AC be its projection upon the plane MN, and AD... | |
 | Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...the two planes (Art. 559). PROPOSITION XXII. THEOREM 567. The acute angle which a line makes with its projection on a plane is the least angle which it makes with any line of the plane through its foot. p- ' Given line AB meeting the plane MN in the point B, BC the projection... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...the two planes (Art. 559), PROPOSITION XXII. THEOREM 587. The acute angle which a line makes with its projection on a plane is the least angle which it makes with any line of the plane through its foot. 2L. Given line AB meeting the plane MN in the point J5, $0 the projection... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...PROPOSITION XXIV. THEOREM. 567. The acute angle which a straight line makes with its projection upon a plane is the least angle which it makes with any line of the plane. Let BA meet the plane MN at A, and let AC be its projection upon the plane MN, and AD... | |
 | Education - 1911 - 946 pages
...be passed perpendicular to the given plane. [Ell.] 12. The acute angle which a straight line makes with its own projection on a plane is the least angle which it makes with any line of the plane. [013.] 13. Two right prisms are congruent if they have congruent bases and equal altitudes.... | |
 | Yale University. Sheffield Scientific School - 1905 - 1074 pages
...on a given plane? Show that the acute angle which a straight line makes with its own projection upon a plane is the least angle which it makes with any line in that plane. 2. State and prove the theorem concerning the lateral area of a regular pyrnrfiid. What is the corresponding... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...PROPOSITION XXIII. THEOREM 577 The acute angle which a straight line makes with its projection upon a plane is the least angle which it makes with any line in the plane. HYPOTHESIS. BC is the projection of AB upon the plane MN, and BD is any other line in MN.... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...PROPOSITION XXIII. THEOREM 577 The acute angle which a straight line makes with its projection upon a plane is the least angle which it makes with any line in the plane. HYPOTHESIS. BC is the projection of AB upon the plane MN, and BD is any other line in MN.... | |
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