 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...THEOREM 109. Of lines drawn from the same point in a perpendicular and cutting off unequal segments from the foot of the perpendicular, the more remote is the greater. Given PO _L AB, PT and PQ oblique to AB, and OT > OQ. To prove PT > PQ. Proof. .Produce PO to the point... | |
 | Charles Davison - Geometry, Solid - 1905 - 140 pages
...three given points. 5. Of two oblique lines drawn from a point to a plane and meeting the plane at unequal distances from the foot of the perpendicular, the more remote is the greater. 6. A piece of wire is bent into three portions, each of the outer portions being twice the middle portion... | |
 | William Chauvenet - 1905 - 336 pages
...PROPOSITION XX PROPOSITION XXI. If two oblique lines drawn from a point to a line meet the line at unequal distances from the foot of the perpendicular, the more remote is the greater. PROPOSITION XXII. Two straight lines perpendicular to the same straight line are parallel. PROPOSITION... | |
 | George Clinton Shutts - 1905 - 260 pages
...from the foot of the perpendicular are equal. CASE III. Of two oblique lines meeting the given line at unequal distances from the foot of the perpendicular, the more remote is the greater. BCD E Let AD be perpendicular to a given line BE, and AB, AC and AE oblique lines, meeting the given... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...equal distances from the foot of the perpendicular are equal. 2 Of oblique lines meeting the plane at unequal distances from the foot of the perpendicular, the more remote is the greater. HYPOTHESIS. AB is JL to MN, and in MN BD = BC, and BE > BC. CONCLUSION. AD = AC, and AE > AC. PROOF... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...equal distances from the foot of the perpendicular are equal. 2 Of oblique lines meeting the plane at unequal distances from the foot of the perpendicular, the more remote is the greater. HYPOTHESIS. AB is -L to MN, and in MN BD = BC, and BE > BC. CONCLUSION. AD = AC, and AE > AC. PROOF... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...foot of the perpendicular drawn from the point to the line, they are equal. If they meet the line at unequal distances from the foot of the perpendicular, the more remote is the greater. 140. The perpendicular is the shortest straight line that can be drawn from a point to a straight line.... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...cutting off equal distances from the foot of the perpendicular from the point to the line are equal. II. Of two oblique lines cutting off unequal distances from the foot of the perpendicular from the point to the line, the more remote is the greater. O I. From any point C without line AB,... | |
 | Webster Wells - Geometry, Plane - 1908 - 206 pages
...cutting off equal distances from the foot of the perpendicular from the point to the line are equal. II. Of two oblique lines cutting off unequal distances from the foot of the perpendicular from the point to the line, the more remote is the greater. O D I. From any point C without line AB,... | |
 | George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...drawn from a point in a perpendicular to a given line, cutting off on the given line unequal segments from the foot of the perpendicular, the more remote is the greater. Given PO perpendicular to XY, PA and PC two lines drawn from P to XY, and OA greater than OC. To prove... | |
| |
... meeting the plane at unequal distances from the foot of the perpendicular the more remote is the greater. 
