 Theorem. —A line perpendicular to one of two parallel lines is perpendicular to the other.  Solid Geometry - Page 224by Walter Burton Ford, Charles Ammerman - 1913 - 107 pagesFull view - About this book
 | Perry Fairfax Nursey - Industrial arts - 1848 - 648 pages
...and these lines are in the same plane PQ: whence they are parallel. COROLLARY. 1. A plane which it perpendicular to one of two parallel lines is perpendicular to. the other. PROP. XXXVI. If, of two planes, one be parallel, and the other perpendicular to a line, the two plane»... | |
 | Technology - 1848 - 652 pages
...24), and these lines are in the same plane PQ: whence they are parallel. COROLLARY. 1. Aplane which it perpendicular to one of two parallel lines is perpendicular to the other. PROP. XXXVI. If, of two planes, one be parallel, and the other perpendicular to a line, the two planet... | |
 | Education - 1923 - 718 pages
...125. Construct a perpendicular to a given straight line from a point outside the line. 126. A line perpendicular to one of two parallel lines is perpendicular to the other. 127. The diagonals of a rhombus bisect each other at right angles. SUMMARY. 128. State five methods... | |
 | William Chauvenet - Geometry - 1887 - 342 pages
...angles on the same side of the secant line is equal to two right angles. EXERCISE. Theorem. — A line perpendicular to one of two parallel lines is perpendicular to the other. ELEMENTS OF GEOMETRY. PROPOSITION XXVI.— THEOREM. 50. The sum of the three angles of any triangle... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...angles on the same side of the secant line is equal to two right angles. EXERCISE. Theorem.—A line perpendicular to one of two parallel lines is perpendicular to the other. PROPOSITION XXVI.—THEOREM. 50. The sum of the three angles of any triangle is equal to two right... | |
 | William Chauvenet - 1893 - 340 pages
...angles on the same side of the secant line is equal to two right angles. EXERCISE. Theorem.—A line perpendicular to one of two parallel lines is perpendicular to the other. PROPOSITION XXVI.—THEOREM. 50. The sum of the three angles of any triangle is equal to two right... | |
 | John Alton Avery - Geometry, Modern - 1903 - 136 pages
...equal. 44. Theorem XIV. Two lines perpendicular to the same line are parallel. 48. Theorem XV. A line perpendicular to one of two parallel lines is perpendicular to the other also. 49. Corollary. Two lines parallel to a third line are parallel to each other. 52. Theorem XVI. If two... | |
 | William Chauvenet - 1905 - 336 pages
...angles on the same side of the secant line is equal to two right angles. EXERCISE. Theorem. —A line perpendicular to one of two parallel lines is perpendicular to the other. PROPOSITION XXVL—THEOREM. 50, The sum of the three angles of any triangle is equal to two right angles.... | |
 | William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...BF. § 526 .-. AB _L AC and to AD. § 139 .-. AB ± plane MN. § 535 QED 553. COR. 1. Reciprocally, a plane perpendicular to one of two parallel lines is perpendicular to the other, also. BOOK VI. SOLID GEOMETRY. PROPOSITION XII. THEOREM. 15 555. Two angles not in the same plane, having... | |
 | William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...be completed.) (This theorem is the converse of Proposition XV.) 177. COROLLARY 1. A straight line perpendicular to one of two parallel lines is perpendicular to the other also. 178. COROLLARY 2. If two lines are perpendicular respectively to two intersecting lines, they cannot... | |
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