 | Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 542 pages
...which a line makes with the perpendicular, the greater the line is, and vice versa. 4°. Lines which meet the plane at equal distances from the foot of the perpendicular are equal, and vice versa. 5°. The more distant the point where a line meets the plane is from the... | |
 | Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...perpendicular to a plane, oblique lines be drawn to different points in the plane, those oblique lines which meet the plane at equal distances from the foot of the perpendicular are equal ; and those which meet the plane at unequal distances from the foot of the perpendicular... | |
 | Adrien Marie Legendre - Geometry - 1863 - 464 pages
...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: 3.° Of two oblique lines which meet the plane at unequal distances from the foot of... | |
 | Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...without a plane, a perpendicular and oblique lines be extended to the plane, then two oblique lines which meet the plane at equal distances from the foot of the perpendicular, are equal. Let AB be perpendicular, and AC and AD oblique to the plane MN, and the distances BC and... | |
 | Eli Todd Tappan - Geometry - 1868 - 432 pages
...without a plane, a perpendicular and oblique lines be extended to the plane, then two oblique lines which meet the plane at equal distances from the, foot of the perpendicular, are equal. Let AB be perpendicular, and AC and AD oblique to the plane MN, and the distances BC and... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...PB = PC, and join AB: thenAD>^.B (L 35); but AB = AC; therefore, AD>AC. 11. Corollary I. Conversely, equal oblique lines from a point to a plane meet the plane at equal distances from the perpendicular; land of two unequal oblique lines, the greater meets the plane at the Beater distance... | |
 | William Chauvenet - Mathematics - 1872 - 382 pages
...PC, and join AB: then AD> AB (I. 35); but AB = AC; therefore, AD > A C. 11. Corollary I. Conversely, 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... | |
 | Charles Davies - Geometry - 1872 - 464 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: 8.° Of two oblique lines which meet the plane at unequal distances from the foot of... | |
 | André Darré - 1872 - 226 pages
...same point in a perpendicular to the plane and equally inclined to the perpendicular are equal, and meet the plane at equal distances from the foot of the perpendicular (55). Cor. ii. Of two lines drawn to a plane from the same point in a perpendicular to the plane, that... | |
 | Eli Todd Tappan - Geometry - 1873 - 288 pages
...without a plane, a perpendicular and oblique lines be extended to the plane, then two oblique lines which meet the plane at equal distances from the foot of the perpendicular, are equal. Let AB be perpendicular, and AC and AD oblique to the plane MN, and the distances BC and... | |
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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... 
