 | Adrien Marie Legendre - Geometry - 1874 - 500 pages
...the plane : 1°. The perpendicular will be shorter than any oblique line : 2°. Oblique lines which meet the plane at equal distances from the foot of the perpendicular, will be equal : S.° Of two oblique lines which meet the plane at unequal distances from the foot of... | |
 | Aaron Schuyler - Geometry - 1876 - 384 pages
...on FC take FD = FA, and draw PD. Then, PD = PA; but, PC> PD (69, 3); .-. PC>PA. 336. Corollaries. 1. Equal oblique lines from a point to a plane meet the...equal distances from the foot of the perpendicular from that point, and make equal angles witli the perpendicular and also with the plane. (?) 2. Of two... | |
 | William Guy Peck - Conic sections - 1876 - 412 pages
...plane, and also oblique lines meeting the plane at different points: 1°. Any two oblique lines that meet the plane at equal distances from the foot of the perpendicular are equal; 2°. Of two oblique lines that meet the plane 'at unequal distances from the foot of the... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...(being homologous sides of equal A ). II. Since AC' is > AC, B C' is > B С, §55 QED 451. COROLLARY 1. Equal oblique lines from a point to a plane meet the plane at equal distances from the perpendicular ; and of two unequal oblique lines, the greater meets the plane at the greater distance... | |
 | Simon Newcomb - Geometry - 1881 - 418 pages
...foot of the perpendicular from P on AC, and OC> OA, PC > PA (§103). QED 284 595. Cor. 2. Equal lines meet the plane at equal distances from the foot of the perpendicular, and greater lines at greater distances. This corollary may be expressed as follows: 596. The locus... | |
 | George Albert Wentworth - Geometry - 1884 - 422 pages
...II. Since A C' is > AC, BC'\s>BC, §55 QED 451. COR. 1. Equal oblique lines from a point to a plano 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... | |
 | 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...equal distances from the foot of the perpendicular; and of two unequal oblique lines, the ereatermeets the plane at the greater distance from the foot... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 342 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...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... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 336 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 plane...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... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 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 plane...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... | |
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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... 
