 | Eugene Randolph Smith, William Henry Metzler - Geometry, Solid - 1918 - 232 pages
...ratios of the total surfaces of the cone and cylinder to the surface of the sphere. 348- If a plane is perpendicular to one of two parallel lines, it is perpendicular to the other. 349. The plane passed through two diagonally opposite edges of a parallelepiped divides it into two... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...transversal to these lines makes a pair of alt. int. A unequal. AB II CD, by hyp. 105. COR. If a transversal is perpendicular to one of two parallel lines, it is perpendicular to the other also. Ex. 226. Two II lines AB and CD are cut by a transversal. a/b . (a) (6) IfZc = 80°, findZe.... | |
 | George Wentworth, David Eugene Smith, Joseph Clifton Brown - Mathematics - 1918 - 296 pages
...statement, we are probably as convinced of the simple truth as we would be if a proof could be given. 3. If a line is perpendicular to one of two parallel lines, it is also perpendicular to the other. That is, if a and b are parallel lines, and if p is perpendicular... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1918 - 360 pages
...supposition that Z 2 is not equal to Z 1 leads to a contradiction. /. Z2 = Z1. QED 151. COROLLARY 1. If aline is perpendicular ^ to one of two parallel lines, it is perpendicular to __ the other also. 'ion. Prove that in the figure Z 1 = rt. Z. FURTHER PROPERTIES OF PARALLEL LINES... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Solid - 1919 - 240 pages
...included angle of the second. 34. Two lines which are perpendicular to the same line are parallel. 35. If a line is perpendicular to one of two parallel lines, it is perpendicular to the other also. 36. If two given lines are perpendicular respectively to each of two intersecting lines, then... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Solid - 1919 - 232 pages
...included angle of the second. 34. Two lines which are perpendicular to the same line are parallel. 35. If a line is perpendicular to one of two parallel lines, it is perpendicular to the other also. 36. If two given lines are perpendicular respectively to each of two intersecting lines, then... | |
 | Herbert Ellsworth Slaught - Geometry, Solid - 1919 - 244 pages
...too lines is parallel to a third line they are parallel to each other. 85. COROLLARY 2. If a plane is perpendicular to one of two parallel lines, it is perpendicular to the other. PARALLEL PLANES AND LUTES 86. Parallel Planes. Two planes which do not meet are said to be parallel.... | |
 | Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Geometry, Modern - 1920 - 328 pages
...3. AKRG is congruent to A^tf. 4. Z1 = Z4. (1) 5. ButZl+Z2 = Z3 + Z4. (2) 6. Z2 = Z3. Proof 1. § 47. If a line is perpendicular to one of two parallel lines, it is perpendicular to the other also. 2. § 53. If two straight lines intersect, the vertical angles are equal. 3. § 50. 4. § 27.... | |
 | Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...point without a given line one line can be drawn parallel to the given line, and only one. Prop. 34. // a line is perpendicular to one of two parallel lines, it is perpendicular to the other also. Prop. 35. Twa lines parallel to the same line are parallel to each other. Prop. 36. // two parallel... | |
 | Raleigh Schorling, William David Reeve - Mathematics - 1922 - 476 pages
...perpendicular bisector Of ED. 10. .-. AL, BM, and CN are concurrent. 6. By definition of an altitude. 7. If a line is perpendicular to one of two parallel lines, it is perpendicular to the other. 8. By 5 and 7 above. 9. For the same reasons. 10. The perpendicular bisectors of the sides of a triangle... | |
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If a line is perpendicular to one of two parallel lines, it is perpendicular to the other also. 
