 | Sir Norman Lockyer - Electronic journals - 1902 - 688 pages
...angles between a line 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... | |
 | Sir Norman Lockyer - Electronic journals - 1902 - 1074 pages
...angles between a line 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... | |
 | William Chauvenet - Mathematics - 1872 - 382 pages
...than any oblique line ; 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.... | |
 | Aaron Schuyler - Geometry - 1876 - 384 pages
...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 from two given straight lines in the same... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...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 MN, and B С any other line drawn... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...PROPOSITION XXI. THEOREM. 478. The aciife 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. A Let BA meet the plane MN at В, and let B A' be its projection upon the plane M У, and B С any... | |
 | William Frothingham Bradbury - Geometry - 1877 - 262 pages
...which it makes with any other line in that plane. Let a B be the projection of the straight line AB upon the plane MN, the point B being the point of intersection of the given line and its projection ; let CD be any other straight line in the plane MN ; through the point... | |
 | George Albert Wentworth - Geometry - 1877 - 426 pages
...homologous sides of equal A ). QED SOLID ANGLES. SUPPLEMENTARY PROPOSITIONS. PROPOSITION XXI. THEOREM. 478. The acute angle which a straight line makes with its own projection on a plane is the least angle winch it makes with any line of that plane. Let BA meet the plane MN... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...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... | |
 | William Frothingham Bradbury - Geometry - 1880 - 260 pages
...which it makes with any other line in that plane. Let a B be the projection of the straight line AB upon the plane MN, the point B being the point of intersection of the given line and its projection ; let CD be any other straight line in the plane MN; through the point... | |
| |
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. 
