 | 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
...straight line. 124. Construct a perpendicular to a given straight line from a point in the line. 125. Construct a perpendicular to a given straight line...methods of proving lines perpendicular. 129. EXERCISES. 1. The bisector of the vertical angle of an isosceles triangle is perpendicular to the base, etc. The... | |
 | William Chauvenet - Geometry - 1887 - 342 pages
...interior 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 - 342 pages
...interior 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, William Elwood Byerly - Geometry - 1887 - 331 pages
...interior 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
...interior 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
...are 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.... | |
 | William Chauvenet - 1905 - 336 pages
...interior 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 Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...this. (To 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... | |
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Theorem. —A line perpendicular to one of two parallel lines is perpendicular to the other. 
