 | Euclides - 1879 - 146 pages
...intersect in H, show that FH, GH are equal. 6. In the same^figure, show that AH bisects the angle BAG. 7. The perpendicular is the shortest line that can be drawn from a given point to a given line, and that which is nearer to the perpendicular is less than one more remote;... | |
 | Education - 1890 - 384 pages
...you develop truthfulness? (c) How will you develop honesty? ELEMENTARY (ÍKDMETKY. 1. ˇ'ˇ-иге: The perpendicular is the shortest line that can be drawn from a point to a straight line. •2. I'nire: An angle formed by a tangt-nt and a chord is measured by one-half... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...without a straight line one perpendicular can be drawn to the line, and but one. PROPOSITION XVII. The perpendicular is the shortest line that can be drawn from a point to a straight line. PROPOSITION XVIII. If a perpendicular is erected at the middle of a straight... | |
 | George Albert Wentworth - Geometry - 1888 - 264 pages
...supplement of Z BA O. Q . E . D . PERPENDICULAE AND OBLIQUE LINES. PROPOSITION XVII. THEOREM. 114. The perpendicular is the shortest Line that can be drawn from a point to a straight line. D\ Let AB be the given straight line, P the given point, PC the perpendicular,... | |
 | William Chauvenet - 1893 - 340 pages
...without a straight line one perpendicular can be drawn to the line, and but one. PROPOSITION XVII. The perpendicular is the shortest line that can be drawn from a point to a straight line. PROPOSITION XVIII. If a perpendicular is erected at the middle of a straight... | |
 | Webster Wells - Geometry - 1894 - 400 pages
...perpendicular to AB, and CD is the only perpendicular that can be drawn. PROPOSITION VII. THEOREM. 45. The perpendicular is the shortest line that can be drawn from a point to a straight line. 0 -B E\ \ Let CD be the perpendicular from 0 to the line AB, and CE any other... | |
 | George Albert Wentworth - Geometry - 1896 - 68 pages
...113. Two angles whose sides are perpendicular, each to each, are either equal or supplementary. 114. The perpendicular is the shortest line that can be drawn from a point to a straight line. 116. Two oblique lines drawn from a point in a perpendicular to a given line,... | |
 | Webster Wells - Geometry - 1898 - 284 pages
...(Ax. 3) Hence, CE cannot be _L AB, and CD is the only _L that can be drawn. PROP. VII. THEOREM. 46. The perpendicular is the shortest line that can be drawn from a point to a straight line. Given CD the _L from point C to line AB, and CE any other str. line from... | |
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...drawn, cutting OD at G ; prove that Atl and BG make equal angles with CD, Proposition 12. Theorem. 22. The perpendicular is the shortest line that can be drawn from a point to a straight line. E\ D \ \j F Hypothesis. CD is the _L drawn from C to AB, and CE is any other... | |
 | Webster Wells - Geometry - 1899 - 424 pages
...its foot.] (§398) But this is impossible. Hence, but one _L can be drawn from A to MN. 410. Cor. II. The perpendicular is the shortest line that can be drawn from a point to a plane. Given AB the _L from point A to plane MN, and AC any other str. line from A to MN.... | |
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The perpendicular is the shortest line that can be drawn from a point to a straight line. 
