 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.  Plane and Solid Geometry - Page 148by James Howard Gore - 1898 - 210 pagesFull view - About this book
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...triangles. 2. Elf = EA2 + AT?, EC* = EA2 + AC*. 510. 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... | |
 | Sophia Foster Richardson - Geometry, Solid - 1914 - 236 pages
...perpendicular. 85. COROLLARY 2. If oblique lines to a plane from a point in a perpendicular to the plane meet the plane at equal distances from the foot of the perpendicular, they are equal. 86. COROLLARY 3. If a plane is perpendicular to one of two parallel lines, it is perpendicular... | |
 | Horace Wilmer Marsh, Annie Griswold Fordyce Marsh - Mathematics - 1914 - 270 pages
...line. VIII THEOREM 16 Equal oblique lines drawn to a plane, from a point in a perpendicular to the plane, meet the plane at equal distances from the foot of the perpendicular. VIII THEOREM 17 The greater of two unequal oblique lines drawn to a plane, from a point in a perpendicular... | |
 | John Charles Stone, James Franklin Millis - Geometry, Solid - 1916 - 196 pages
...AFE > Z AEF, etc. Write the proof in full. 311. Theorem. — (1) Equal oblique line-segments drawn from a point to a plane meet the plane at equal distances from the foot of the perpendicular from the point ; (2) of two unequal line-segments, the greater meets the plane at the greater distance... | |
 | William Betz - Geometry - 1916 - 536 pages
...the one cutting off the greater distance is the greater; and conversely, equal oblique lines cut off equal distances from the foot of the perpendicular, and of two unequal oblique lines the greater line cuts off the greater distance. A (a) Given AB perpendicular to the plane P at B, the lines BC... | |
 | William Betz, Harrison Emmett Webb - Geometry, Solid - 1916 - 214 pages
...the one cutting off the greater distance is the greater; and conversely, equal oblique lines cut off equal distances from the foot of the perpendicular, and of two unequal oblique lines the greater line cuts off' the greater distance. Why? §233 (a) Given AB perpendicular to the plane P at B, the... | |
 | John H. Williams, Kenneth P. Williams - Geometry, Solid - 1916 - 184 pages
...PROPOSITION IV. THEOREM 614. // lines are drawn from a point in a perpendicular to a plane: (1) two that meet the plane at equal distances from the foot of the perpendicular are equal; (2) two that meet the plane at unequal distances from the foot of the perpendicular are... | |
 | Fletcher Durell, Elmer Ellsworth Arnold - Geometry, Solid - 1917 - 220 pages
...446. I. 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 ; II. Of two oblique lines drawn from a point to a plane, and meeting... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...triangles. 2. Elf = El2 + AT?, EC2 = EA2 + AC2. 510. 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... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Solid - 1919 - 240 pages
...meeting the plane at equal distances from the foot of the perpendicular are equal ; and conversely, two equal oblique lines from a point to a plane meet the...equal distances from the foot of the perpendicular. (1) Given PC -LM, and AC = BC. To prove that PA = PB. Suggestion. Prove A PCA = A PCB. (2) Given PC... | |
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