 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.  Plane and Solid Geometry - Page 148by James Howard Gore - 1898 - 210 pagesFull view - About this book
 | George Albert Wentworth - 1884 - 264 pages
...straight lines can be drawn from a point to a straight line. 66. Theorem. Two equal oblique lines cut off equal distances from the foot of the perpendicular; and of two unequal oblique lines, the greater cuts off the greater distance from the foot of the perpendicular. 67. Theorem. Every point in the perpendicular,... | |
 | George Albert Wentworth - Geometry - 1885 - 424 pages
...§106 (being homologous sides of equal A). II. Since AC ' is > AC, BC'is>BC, §55 QED 451. COR. 1. Equal oblique lines from a point to a plane meet the...perpendicular; and of two unequal oblique lines, the ereatermeets the plane at the greater distance from the foot of the perpendicular. 452. COR. 2. All... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 332 pages
...unequal distances from the foot of the perpendicular the more remote is the greater. 2. Theorem. — Equal oblique lines from a point to a plane meet the...greater distance from the foot of the perpendicular. ELEMENTS OF GEOMETRY. PROPOSITION IV.— THEOREM. (W) If a straight line is perpendicular to each of... | |
 | Webster Wells - Geometry - 1886 - 166 pages
...therefore AE>AC. 439. COROLLARY I. Conversely, two equal oblique lines from a point to a plane cut off equal distances from the foot of the perpendicular ; and of two unequal obIique lines, the greater cuts off the greater distance from the foot of the perpendicular. 440. COROLLARY... | |
 | George Albert Wentworth - 1889 - 276 pages
...straight lines can be drawn from a point to a straight line. 66. Theorem. Two equal oblique lines cut off equal distances from the foot of the perpendicular; and of two unequal oblique lines, the greater cuts off the greater distance from the foot of the perpendicular. 67. Theorem. Every point in the perpendicular,... | |
 | George Albert Wentworth - 1889 - 264 pages
...straight lines can be drawn from a point to a straight line. 66. Theorem. Two equal oblique lines cut off equal distances from the foot of the perpendicular; and of two unequal oblique lines, the greater cuts off the greater distance from the foot of the perpendicular. 67. Theorem. Every point in the perpendicular,... | |
 | Edward Albert Bowser - Geometry - 1890 - 420 pages
...of a point from a plane is meant the perpendicular distance from the point to the plane. (493) 498. COR. 2. Equal oblique lines from, a point to a plane...-greater distance from the foot of the perpendicular. 499. Cor. 3. x The locus of the point in a plane at a given distance from a fixed point without the... | |
 | Edward Albert Bowser - Geometry - 1890 - 414 pages
...of a point from a plane is meant the perpendicular distance from the point to the plane. (493) 498. COR. 2. Equal oblique lines from a point to a plane...plane at the greater distance from the foot of the perpendicular.SOLID GEOMETRY. Proposition 3. Theorem. '*• 500. If a ftraight line is perpendicular... | |
 | Seth Thayer Stewart - Geometry - 1891 - 426 pages
...from the point to the plane. Corollary II. Equal oblique lines drawn from the same point to the same plane meet the plane at equal distances from the foot of the perpendicular. Corollary HI. The longer oblique line meets the plane at the greater distance from the foot of the... | |
 | Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 522 pages
...sustain to each other ? Therefore Ex. 254. Equal oblique lines, drawn from a point in the perpendicular to a plane, meet the plane at equal distances from...perpendicular, and of two unequal oblique lines the longer meets the plane at the grea'er distance from the foot of the perpendicular. Ex. 255. What is... | |
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