| Webster Wells - 1894 - 172 pages
...diedral PRQM. (§ 431.) Therefore, PQ is perpendicular to MN. (§ 435.) PROPOSITION XVIII. THEOREM. 440. **If two planes are perpendicular to each other, a straight line drawn in one of them** jjei'pendictdar to their intersection is perpendicular to the other. Let the plane PQ be perpendicular... | |
| Webster Wells - Geometry - 1894 - 398 pages
...diedral PRQM. (§ 431.) Therefore, PQ is perpendicular to MN. (§ 435.) PROPOSITION XVIII. THEOREM. 440. **If two planes are perpendicular to each other, a straight line drawn in one of** tltem perpendicular to their intersection is perpendicular to the other. Let the plane PQ be perpendicular... | |
| George Albert Wentworth - Mathematics - 1896 - 68 pages
...their plane angles are equal. 513. Two dihedral angles have the same ratio as their plane angles. 515. **If two planes are perpendicular to each other, a straight...in one of them perpendicular to their intersection** is perpendicular to the other. 516. Cor. 1. If two planes are perpendicular to each other, a perpendicular... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 554 pages
...Since AB is perpendicular to CD and also to QS, it is perpendicular to MN. § 531 Q ED 576. COR. I. **If two planes are perpendicular to each other, a straight line drawn** perpendicular to one at any point of their intersection lies in the other. Hint. — In the foregoing... | |
| George Washington Hull - Geometry - 1897 - 408 pages
...other parallel planes, the four lines of intersection arc parallel. PROPOSITION XXI. THEOREM. 412. **If two planes are perpendicular to each other, a straight...one of them, perpendicular to their intersection,** is perpendicular to tile other. Given—The plane PQ perpendicular to MN, and AB perpendicular to their... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 574 pages
...Since AB is perpendicular to CD and also to QS, it is perpendicular to MN. § 531 QED <5>76>. COR. I. **If two planes are perpendicular to each other, a straight line drawn** perpendicular to one at any point of their intersection lies in the other. Hint. — In the foregoing... | |
| James Howard Gore - Geometry - 1898 - 232 pages
...plane. 364. If the diedral angle is a right angle, the plane angle is also a right angle: therefore **if two planes are perpendicular to each other, a straight...in one of them perpendicular to their intersection** is perpendicular to the other. 365. The following principles are also true: 1. If a straight line is... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1898 - 324 pages
...diedral angles are equal. § 572 That is, PQ is perpendicular to MN. § 570 QED PROPOSITION XVIII. **THEOREM >. If two planes are perpendicular to each other, a straight line drawn in one,** perpendicular to their intersection, is perpendicular to the other. GIVEN — the plane PQ perpendicular... | |
| Yale University - 1898 - 212 pages
...perpendicular to a plane, every plane passed through the line is perpendicular to that plane. (¿) **If two planes are perpendicular to each other, a straight line drawn in one,** perpendicular to their intersection, is perpendicular to the other. 3. Name and describe the regular... | |
| Mathematics - 1898 - 228 pages
...is perpendicular to a plane. every plane passed through the line is perpendicular to that plane. (b) **If two planes are perpendicular to each other, a straight line drawn in one,** perpendicular to their intersection, is perpendicular to the other. 3. Name and describe the regular... | |
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