 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.  Solid Geometry - Page 319by Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - 1912 - 188 pagesFull view - About this book
 | Sir Norman Lockyer - Electronic journals - 1902 - 1074 pages
...which meets a plane and the lines in the plane than Prop. xx. in § 449, viz., " The acute angle which a straight line makes with its own projection upon a plane is the least angle it makes with any line of that plane." It is advantageous to know, not only the least and the greatest... | |
 | Sir Norman Lockyer - Electronic journals - 1902 - 688 pages
...which meets a plane and the lines in the plane than Prop. xx. in § 449, viz., " The acute angle which a straight line makes with its own projection upon a plane is the least angle it makes with any line ofthat plane." It is advantageous to know, not only the least and the greatest... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...therefore, the angle ABa is less than the angle ABC (I. 85). 60. Definition. The acute angle which a straight line makes with its own projection upon a plane is called the inclination of the line 'to the plane, or the angle of the line and plane. 61. Definition.... | |
 | William Chauvenet - Geometry - 1872 - 382 pages
...therefore, the angle ABa is less than the angle ABC (I. 85). 60. Definition. The acute angle which a straight line makes with its own projection upon a plane is called the inclination of the line to the plane, or the angle of the line and plane. 61. Definition.... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...the angle ABa is less than the angle ABC (I., Proposition XY.), 45. Definition. The acute angle which a straight line makes with its own projection upon a plane is called the indinatio.m of the line to the plane, or the angle of the line and plane. 46. Definition.... | |
 | William Chauvenet - 1893 - 340 pages
...projection of a straight line upon a plane is a straight line. PROPOSITION XIX. The acute angle which a straight line makes with its own projection upon a plane is the least angle it makes with any line of that plane. PROPOSITION XX. The sum of any two face angles of a triedral... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 554 pages
...straight line. § 528 QE D, i// ith fht 128 . PROPOSITION XXIII. THEOREM 385. 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. GIVEN — the straight line AS, its projection AC upon... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...which bisects a dihedral angle is equidistant from the faces of the angle. 526. 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 the plane. 528. Between two straight lines not in the same plane, one... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 570 pages
...5.5 of the other. § 536 Therefore angle SAC< angle SAB. §93 QED 580. Def. — The acute angle which a straight line makes with its own projection upon a plane is called the inclination of the line to the plane. PROPOSITION XXIV. THEOREM 587. Between two straight... | |
 | George Washington Hull - Geometry - 1897 - 408 pages
...first are 8 and 6, what are the segments of the second? PROPOSITION XXV. THEOREM. 418. TJie 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. Given—AB the projection of AP on the plane MN, and AC... | |
| |
