 | Geometry, Plane - 1911 - 192 pages
...line, two oblique lines cutting off equal distances from the foot of the perpendicular are equal; and of two oblique lines cutting off unequal distances...the perpendicular, the more remote is the greater. 2. The straight line joining the middle points of the non-parallel sides of a trapezoid is parallel... | |
 | David Eugene Smith - Geometry - 1911 - 370 pages
...drawn from the same point in a perpendicular to a given line, cutting off on the line unequal segments from the foot of the perpendicular, the more remote is the greater. These four propositions, while known to the ancients and incidentally used, are not explicitly stated... | |
 | William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...distances from the foot of the perpendicular, are equal; and of two oblique lines meeting the plane at unequal distances from the foot of the perpendicular, the more remote is the greater. Given PO ± plane MN, and AO = BO, and OD > OB. To prove I. PA = PB. II. PD > PB. Proof. I. The rt.... | |
 | William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...from the same point in a perpendicular to a given line and cutting off on the line unequal segments from the foot of the perpendicular, the more remote is the greater. c BED Given the line CD, AB perpendicular to CD, and BD greater than BC. To prove that AD>A C. Proof.... | |
 | William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 pages
...from the same point in a perpendicular to a given line and cutting off on the line unequal segments from the foot of the perpendicular, the more remote is the greater. GBED Given the line CD, AB perpendicular to CD, and BD greater than BC. To prove that AD>A C. Proof.... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 491 pages
...distances from the foot of the perpendicular, are equal; and of tivo oblique lines, meeting the plane at unequal distances from the foot of the perpendicular, the more remote is the greater. Given the plane MN, the perpendicular line PO, the oblique lines P/4, PB, PC, the equal distances OJ5,... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...distances from the foot of the perpendicular, are equal ; and of two oblique lines, meeting the plane at unequal distances from the foot of the perpendicular, the more remote is the greater. Given the plane MN, the perpendicular line PO, the oblique lines PA, PB, PC, the equal distances OB,... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...equal distances from the foot of the perpendicular are equal. (2) Of two lines meeting the plane at unequal distances from the foot of the perpendicular, the more remote is the greater. 318 LINES AND PLANES IN SPACE Given EA perpendicular to plane MN. Oblique lines EB, EC, and ED are... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...distances from the foot of the perpendicular, are equal ; and of two oblique lines, meeting the plane at unequal distances from the foot of the perpendicular, the more remote is the greater. M N Given the plane MN, the perpendicular line PO, the oblique lines PA, PB, PC, the equal distances... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...drawn from a point in a perpendicular to a given line, cutting off on the given line unequal segments from the foot of the perpendicular, the more remote is the greater. Ex. 319. If Z A of AABC equals two thirds of a right angle, and the exterior angle DBC equals 110°,... | |
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... meeting the plane at unequal distances from the foot of the perpendicular the more remote is the greater. 
