 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.  Solid Geometry - Page 294by Claude Irwin Palmer - 1918 - 177 pagesFull view - About this book
 | Aaron Schuyler - Geometry - 1876 - 384 pages
...Find the locus of points in space which are equally distant from two given points. 3. The angle which a straight line makes with its projection upon a plane is the least angle which it makes with any line of that plane. 5. Find the locus of the points which are equally distant... | |
 | George Albert Wentworth - Geometry - 1899 - 500 pages
...angle which a line makes with a plane is the "., 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... | |
 | George Albert Wentworth - Geometry, Solid - 1899 - 246 pages
...AB upon the plane MN. BOOK VI. SOLID GEOMETRY. 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... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 248 pages
...projecting plane of the line AB upon the plane MN. 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... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...angle which a line makes with a plane is the 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... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...projection upon the plane. SOLID GEOMETRY -BOOK VI 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,... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...makes with its projection upon the plane. 294 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,... | |
 | Wisconsin. Department of Public Instruction - Education - 1906 - 124 pages
...bedrawn. 19. The projection of a straight line upon a plane is a straight line. 20. The angle which a line makes with its projection upon a plane is the least angle made by the line and any line of the plane. 21. A point in the bisector of a dihedral angle is equidistant... | |
 | Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - Geometry, Solid - 1912 - 222 pages
...always lie in the same plane. Ex. 1186. (a) The acute angle that a straight line makes with its own projection upon a plane is the least angle that it makes with any line passing through its foot in the plane. (6) With what line passing through its foot and lying in the plane does it make the greatest... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...parallel lines have already been considered. PROPOSITION XXIII. THEOREM 486. The acute angle which a line makes with its projection upon a plane is the least angle which it makes with any line of the plane. M N Given the line AB meeting the plane MNatA, AB being... | |
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