 | 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. (Fig. of... | |
 | Webster Wells - Geometry - 1899 - 196 pages
...its foot.] (§398) But this is impossible. Hence, but one J. 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. (Fig. of... | |
 | Harvard University - Geometry - 1899 - 39 pages
...given point without a plane, one perpendicular to the plane can be drawn, and but one. THEOREM IV. The perpendicular is the shortest line that can be drawn from a point to a plane. THEOREM V. Two oblique straight lines drawn from a point to a plane are equal when, and only... | |
 | William James Milne - Geometry - 1899 - 396 pages
...than PC, PC is the only perpendicular that can be drawn to AB from P. Therefore, etc. QED 61. Cor. A perpendicular is the shortest line that can be drawn from a point to a line. 1. Since PCF is a straight line, is PDF a straight line ? Ax. 12. 2. Which line, then, is the... | |
 | William James Milne - Geometry, Modern - 1899 - 258 pages
...than PC, PC is the only perpendicular that can be drawn to AB from P. Therefore, etc. QED 61. Cor. A perpendicular is the shortest line that can be drawn from a point to a line. 1. Since PCF is a straight line, is PDF a straight line ? Ax. 12. 2. Which line, then, is the... | |
 | Webster Wells - Geometry - 1899 - 180 pages
...a plane is _L to every str. line drawn in the plane through its foot.] (§ 398) .-. AB<AC. [The _L is the shortest line that can be drawn from a point to a str. line.] (§ 46) Note. The distance of a point from a plane signifies the length of the perpendicular... | |
 | William James Milne - Geometry - 1899 - 404 pages
...compare in length ? 5. Since PD represents any line from P to AB other than the perpendicular PC, what is the shortest line that can be drawn from a point to a line ? 62. The distance from a point to a line is always understood to be the perpendicular or shortest... | |
 | George Albert Wentworth - Geometry - 1899 - 500 pages
...and PC + CP' = 2 PC. Const. But PC + CP' <PD + DP'. § 49 .\2PC<2PD. .-. PC < PD. Ax. 7 QED 98. COR. The shortest line that can be drawn from a point to a given line is perpendicular to the given line. PROPOSITION VIII. THEOREM. 100. The sum of two lines... | |
 | George Albert Wentworth - Geometry, Plane - 1899 - 278 pages
...PC +CP' = 2 PC. Const. But PC + CP' <PD + DP'. § 49 .-.2PC<2PD. •-. PC < PD. Ax. 7 QBD 98. COR. The shortest line that can be drawn from a point to a given line is perpendicular to the given line. PROPOSITION VIII. THEOREM. 100. The sum of two lines... | |
 | Henry Parker Manning - Geometry, Non-Euclidean - 1901 - 116 pages
...angle of one are equal, respectively, to the hypothenuse and an acute angle of the other. 7. Theorem. The perpendicular is the shortest line that can be drawn from a point to a straight line. 8. Theorem. If oblique lines drawn from a point in a perpendicular to a line cut off unequal distances... | |
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The perpendicular is the shortest line that can be drawn from a point to a straight line. 
