 | Euclid, Dionysius Lardner - 1828 - 542 Seiten
...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... | |
 | Pierce Morton - 1830 - 584 Seiten
...other straight lines which are drawn from the point to the plane, such as are equal to one another, cut the plane at equal distances from the foot of the perpendicular; and such as are unequal, cut the plane at unequal distances from the foot, the greater being always further... | |
 | 1835 - 684 Seiten
...other straight lines which are drawn from the point to the plane, such as are equal to one another cut the plane at equal distances from the foot of the perpendicular ; and such as are unequal cut the plane at unequal distances from the foot, the greater being always further... | |
 | Horatio Nelson Robinson - 1860 - 470 Seiten
...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 - 1863 - 464 Seiten
...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 - 1864 - 288 Seiten
...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 - 1868 - 432 Seiten
...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 - 1871 - 380 Seiten
...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,...greater meets the plane at the greater distance from the perpendicular. 12. Corollary II. Equal straight lines from a point to a plane meet the plane in the... | |
 | William Chauvenet - 1871 - 380 Seiten
...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 - 1872 - 382 Seiten
...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... | |
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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. 
