 | Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...opposite these angles are unequal, and the greater side is opposite the greater angle. § 185. Theorem. A perpendicular is the shortest line that can be drawn from a point to a straight line. § 186. Theorem. If two straight lines are drawn from a point in a perpendicular to... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...... b > c. 3.ED REASONS ZB > ZC, by hyp. The base 4 of an isos. A are equal. 7, by hyp. 131. COR. The perpendicular is the shortest line that can be drawn from a point to a given line. (115.) NOTE. The method used in the above proof is known as the indirect method or reductio... | |
 | Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...J. to AB. (?) Hence BD and BC coincide. (?) .'. BC lies in MN. (?) Proposition 211 Theorem QED The perpendicular is the shortest line that can be drawn from a point to a plane. Hypothesis. AB is the -l . drawn from A to the plane MN, and AC is any other line drawn from... | |
 | Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Geometry, Solid - 1922 - 216 pages
...may follow the hints for Case I, but / CX I referred to the adjacent figure. /M / 422. Corollary. The perpendicular is the shortest line that can be drawn from a point to a plane. Given (see figure for Case II above) the plane M, and PC the perpendicular to M from P. To prove... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...c. QED REASONS ZB > ZC, by hyp. The base A of an isos. A are equal. ZB > ZC, by hyp. 131. COR. The perpendicular is the shortest line that can be drawn from a point to a given line. (115.) NOTE. The method used in the above proof is known as the indirect method or reductio... | |
 | Julius J. H. Hayn - Geometry, Plane - 1925 - 328 pages
...A straight line, perpendicular to one of two parallels, is perpendicular to the other also. 15. The perpendicular is the shortest line that can be drawn from a point without to a line. 16. Two angles, whose sides are parallel, each to each, and running in the same... | |
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The perpendicular is the shortest line that can be drawn from a point to a straight line. 
