 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 351by Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - 1922 - 192 pagesFull view - About this book
 | William Chauvenet - Geometry - 1871 - 380 pages
...PROPOSITION XXIII.— THEOREM. 59. 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 of that plane. Let Ba be the projection of the straight line BA upon the plane MN, the point B being... | |
 | William Chauvenet - Mathematics - 1872 - 382 pages
...PROPOSITION XXIII.— THEOREM. 59. 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 of that plane. Let Ba be the projection of the straight line BA upon the plane MN, the point B being... | |
 | Aaron Schuyler - Geometry - 1876 - 384 pages
...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 from two given straight lines... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...PROPOSITIONS. PROPOSITION XXI. THEOREM. 478. 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 that plane. Let BA meet the plane MN at B, and let B A' be its projection upon the plane M If, and... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...another, the planes are at right angles to each other. 6. The acute angle which a line makes with its own projection on a plane, is the least angle which it makes with any line on the plane. See Def. of projection, and use the last Ex. and (I. 23). 7. If a plane be passed through... | |
 | Webster Wells - Geometry - 1886 - 392 pages
...to and meet MN in the line CD. PROPOSITION XXI. THEOREM. 484. The angle between a straight line and its projection on a plane is the least angle which...with any line drawn in the plane through its foot. Let BC be the projection of the line AB on the plane MN, and let BD be any other line drawn in the... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...PROPOSITION XIX.—THEOREM. 44. 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 of that plane. Let Ba be the projection of the straight line BA upon the plane MN, the point B being... | |
 | Webster Wells - 1894 - 172 pages
...will lie in this plane. (§ 442.) PROPOSITION XXIV. THEOREM 450. The angle between a straight line and its projection on a plane is the least angle which...makes with any line drawn in the plane through its font. Let BC be the projection of the line AH on the plane MN. Let BD be any other line drawn through... | |
 | George Clinton Shutts - Geometry - 1894 - 412 pages
...respect to length. Give auth. 3. Compare Z А В С with Z. AB D. Auth. § 139. Therejore — 464. The angle which a line makes with its projection on a plane is the angle of the line and the plane, or the inclination of the line to the plane. POLYHEDRAL ANGLES. 465.... | |
 | Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 522 pages
...AD in respect to length. Give auth. Sro 3. Compare Z ,4 BC with ZAB D. Give auth. Therefore 386. The angle which a line makes with its projection on a plane is called the angle of the line and the plane, or the inclination o: the line to the plane. POLYHEDRAL... | |
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