 | Andrew Wheeler Phillips, Irving Fisher - 1897 - 374 σελίδες
...perpendicular to a given straight line two equal oblique lines are drawn, they cut off equal d1stances from the foot of the perpendicular, and of two unequal oblique lines the greater cuts off the greater distance. [Converse of Proposition XXX.] O FIG. I O FIG. 1 I. GIVEN PO perpendicular... | |
 | James Howard Gore - 1898 - 232 σελίδες
...Since OP is less than OA, OB, and OC, it is the shortest distance from the point to the plane. 336. COR. 2. Equal oblique lines from a point to a plane...plane at the greater distance from the foot of the perpendicular. PROPOSITION III. THEOREM. 337. If a straight line is perpendicular to each of two straight... | |
 | William James Milne - 1899 - 396 σελίδες
...be drawn from a point to a plane. 449. Cor. II. Equal oblique lines from a point in a perpendicular to a plane meet the plane at equal distances from...plane at the greater distance from the foot of the perpendicular. 450. Cor. III. The locus of a point in space equidistant from all points in the circumference... | |
 | George Albert Wentworth - 1899 - 496 σελίδες
...rt. A ABE, ABC have AB common, and BE > BC. .-.AE>AC (§ 101), and hence AE > AD. Q E. D 515. COR. 1. Equal oblique lines from a point to a plane meet the...the foot of the perpendicular ; and of two unequal lines the greater meets the plane at the greater distance from the foot of the perpendicular. 516.... | |
 | George Albert Wentworth - 1899 - 246 σελίδες
...A ABE, ABC have AB common, and BE > BC. .-. AE > AC (§ 101), and hence AE > AD. Q BD 515. COR. 1. Equal oblique lines from a point to a plane meet the...the foot of the perpendicular ; and of two unequal lines the greater meets the plant; at the greater distance from the foot of the perpendicular. LINES... | |
 | George Albert Wentworth - 1899 - 500 σελίδες
...BC. .-. AH> AC(§ 101), and hence AE> AD. QE . D 515. COR. 1. 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 lines the greater meets the plane at the greater distance from the foot of the perpendicular. 516.... | |
 | Harvard University - 1899 - 39 σελίδες
...THEOREM V. Two oblique straight lines drawn from a point to a plane are equal when, and only when, they meet the plane at equal distances from the foot of the perpendicular drawn from the point to the plane ; and of two oblique lines drawn from a point to a plane, and meeting... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1901 - 396 σελίδες
...triangles 2. EI? = EA* + Aff, El?2 = EA2 + AC2. 474. COR. 1. Conversely, equal oblique lines drawn from a point to a plane meet the plane at equal distances from the foot of the perpendicular from the point to the plane, and of two unequal oblique lines, the greater one meets the plane at a... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1901 - 394 σελίδες
...triangles 2. Eff = EA* + Aff, EIf 2 = EA* + AC*. 474. COR. 1. Conversely, equal oblique lines drawn from a point to a plane meet the plane at equal distances from the foot of the perpendicular from the point to the plane, and of two unequal oblique lines, the greater one meets the plane at a... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1902 - 394 σελίδες
...triangles 2. EL? = EA2 + A~ff, EC'2 = EA2 + A&. 474. Con. 1. Conversely, equal oblique lines drawn from a point to a plane meet the plane at equal distances from the foot of the perpendicular from the point to the plane, and of two unequal oblique lines, the greater one meets the plane at a... | |
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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. 
