 | Adrien Marie Legendre - 1863 - 464 σελίδες
...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 the perpendicular, the one which meets it at the greater distance will be the longer. Let A be a point without the plane MN... | |
 | Charles Davies - 1872 - 464 σελίδες
...meeting the plane at equal distances from the •foot of the perpendicular; and let AC and AE be any two oblique lines meeting the plane at unequal distances from the foot of the perpendicular : 1°. AP will be shorter than any oblique line AC. For, draw PC', then will I— \^± N AP be less... | |
 | Adrien Marie Legendre - 1874 - 500 σελίδες
...meeting the plane at equal distances from the foot of the perpendicular ; and let AC and AE be any two oblique lines meeting the plane at unequal distances from the foot of the perpendicular : 1°. AP will be shorter ^ than any oblique line AC. For, draw PC; then will AP be less than AC (B.... | |
 | George Albert Wentworth - 1877 - 416 σελίδες
...PROPOSITION VI. THEOREM. 55. Of two oblique lines drawn from Ihe »ame point in a perpendicular, cutting off unequal distances from the foot of the perpendicular , the more remote is the greater. C Г • E Let С F be perpendicular to AB, and CK and С Н two oblique lines cutting off unequal... | |
 | George Albert Wentworth - 1877 - 416 σελίδες
...distances from the foot of the perpendicular are equal ; and of two oblique lines unequally distant from the foot of the perpendicular the more remote is the greater. Iden. IIypLet the oblique lines BC, BD, and BE, be drawn at equal distances, AC, AD, and AE, from the... | |
 | William Henry Harrison Phillips - 1878 - 236 σελίδες
...point A from the plane MN. III. Theorem. All oblique lines drawn from the same point, and meeting a plane at equal distances from the foot of the perpendicular,...the perpendicular, the more remote is the greater. HYPOTH. 1. AB1MN, and BC = BD = BE, = , &c. ELEMENTS OF GEOMETRY. [BOOK V. PROOF. A ABC ^ ABD ^ ABE... | |
 | George Anthony Hill - 1880 - 332 σελίδες
...from the foot of the perpendicular let fall from the point are equal ; and that of two lines drawn to unequal distances from the foot of the perpendicular, the more remote is the greater. 6. Prove the converse of the first part of the last exercise. 7. Find the locus of points in a plane... | |
 | George Albert Wentworth - 1882 - 268 σελίδες
...PROPOSITION VI. THEOREM. 55. Of two oblique lines drawn from the same point in a perpendicular, cutting off unequal distances from the foot of the perpendicular, the more remote is the greater. С E Let С F be perpendicular to AB, and С К and СH two oblique lines cutting oil unequal distances... | |
 | Alfred Hix Welsh - 1883 - 326 σελίδες
...Oblique lines meeting the plane at equal distances from the foot of the perpendicidar, will be equal. 3. Of two oblique lines meeting the plane at unequal distances from the foot of the perpendicular, the one which meets it at the greater distance is the longer. Let P be the point; MN, the plane; PC, the... | |
 | 1902 - 232 σελίδες
...straight line. 5. If oblique lines drawn from a point in a perpendicular to a straight line cut off unequal distances from the foot of the perpendicular, the more remote is the greater. To prove our theorem it is sufficient to prove that if the triangle ABC is not isosceles, the lines... | |
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... of two oblique lines meeting the plane at unequal distances from the foot of the perpendicular the more remote is the greater. 
