| George Albert Wentworth - 1884 - 264 σελίδες
...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 - 1885 - 424 σελίδες
...§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 - 1887 - 342 σελίδες
...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 at the greater distance from the foot of the perpendicular. PROPOSITION IV.—THEOREM. 10. If a straight line is perpendicular to each of two straight... | |
| William Chauvenet, William Elwood Byerly - 1887 - 336 σελίδες
...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...plane at the greater distance from the foot of the perpendicular. PROPOSITION IV.—THEOREM. 10. If a straight line is perpendicular to each of two straight... | |
| William Chauvenet, William Elwood Byerly - 1887 - 331 σελίδες
...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...plane at the greater distance from the foot of the perpendicular. PROPOSITION IV.—THEOREM. 10. If a straight line is perpendicular to each of two straight... | |
| Webster Wells - 1886 - 166 σελίδες
...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 - 264 σελίδες
...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 - 276 σελίδες
...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,... | |
| Seth Thayer Stewart - 1891 - 426 σελίδες
...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... | |
| George Albert Wentworth - 1892 - 468 σελίδες
...Therefore AE> AC (^ 119), and hence AE>AD. QED 479. COR. 1. Equal oblique lines from a point to a plan? meet the plane at equal distances from the foot of...plane at the greater distance from the foot of the perpendicular. PROPOSITION VI. THEOREM. 481. If from the foot of a perpendicular to a plane a straight... | |
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