 | Fletcher Durell - Geometry - 1911 - 553 pages
...proved) . But AH > AF. :. AH > AC. (Why?) Ax, 8. QE D, 519e COR. 1. CONVERSELY: Equal oblique lines drawn from a point to a plane meet the plane at equal distances from the foot of the perpendicular drawn from the same point to the plane; arid, of two unequal lines so drawn, the greater line meets... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...(§ 163). .-. AE > AC. QED 531 COROLLARY 1. Equal oblique lines drawn from a point in a perpendicular to a plane meet the plane at equal distances from...the perpendicular ; and of two unequal oblique lines so drawn, the greater meets the plane at the greater distance from the foot of the perpendicular. LINES... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...(§ 163). .-. AE > AC. QED 531 COROLLARY 1. Equal oblique lines drawn from a point in a perpendicular to a plane meet the plane at equal distances from...the perpendicular ; and of two unequal oblique lines so drawn, the greater meets the plane at the greater distance from the foot of the perpendicular. 532... | |
 | Wisconsin. Department of Public Instruction - Education - 1906 - 124 pages
...drawn from the pointto the plane. 5. Equal oblique lines drawn from a point in a perpendicular cut off equal distances from the foot of the perpendicular; and of two unequal lines drawn from the point in the perpendicular, the greater cuts off the greater distance from the... | |
 | William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...OC = OB and draw PC. Then PD > PC. § 117 But PC = PB. Proof I .:PD> PB. QED 534. COR. Conversely : Equal oblique lines from a point to a plane meet the...the foot of the perpendicular; and of two unequal lines the greater meets the plane at the greater distance from the foot of the perpendicular. PROPOSITION... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...Ax. 9. Iden. Given §56 § 69 §67 Given Ax. 9 §84 QED 440. COROLLARY 1. Equal oblique lines drawn from a point to a plane meet the plane at equal distances...greater distance from the foot of the perpendicular. In the figure on page 280, if PB is given equal to PC, then since PO = PO, and the angles at O are... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...Discussion. Compare the corresponding case in plane geometry. 440. COROLLARY 1. Equal oblique lines drawn from a point to a plane meet the plane at equal distances...greater distance from the foot of the perpendicular. In the figure on page 280, if PB is given equal to PC, then since PO = PO, and the angles at 0 are... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 491 pages
...line. Then OA > OC. Given. .'. OA>OB. Ax. 9 .\PA>PB. §84 440. COROLLARY!. Equal oblique lines drawn from a point to a plane meet the plane at equal distances...greater distance from the foot of the perpendicular. In the figure on page 280, if PB is given equal to PC, then since PO = PO, and the angles at 0 are... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...triangles. 2. Elf = EA2 + AT?, EC* = EA2 + AC*. 510. COR. 1. Conversely, equal oblique lines drawn from a point to a plane meet the plane at equal distances from the foot of the perpendicular from the point to the plane, and of two unequal oblique lines, the greater one meets the plane at a... | |
 | Horace Wilmer Marsh, Annie Griswold Fordyce Marsh - Mathematics - 1914 - 270 pages
...line. VIII THEOREM 16 Equal oblique lines drawn to a plane, from a point in a perpendicular to the plane, meet the plane at equal distances from the foot of the perpendicular. VIII THEOREM 17 The greater of two unequal oblique lines drawn to a plane, from a point in a perpendicular... | |
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Equal oblique lines from a point to a plane meet the plane at equal distances from the foot of the perpendicular ; and of two unequal oblique lines the greater meets the plane at the greater distance from the foot of the perpendicular. 
