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" COR. 1. If two planes are perpendicular to each other, a perpendicular to one of them at any point of their intersection will lie in the other plane. "
Elements of Analytic Geometry - Σελίδα 361
των Joseph Johnston Hardy - 1897 - 365 σελίδες
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The Elements of Geometry

Webster Wells - 1886 - 392 σελίδες
...therefore perpendicular to their plane -SOT (§434). 469. COROLLARY I. If two planes are perpendicular, a perpendicular to one of them at any point of their intersection lies in the other. Let the plane PQ be perpendicular to MN, and draw AB perpendicular to the plane...

The Elements of Solid Geometry: With Numerous Exercises

Arthur Latham Baker - 1893 - 150 σελίδες
...already, § 64, been shown to be one J_ to N, and p lies in M. Hence, if two planes, etc. QED 66. COR. 2. If two planes are perpendicular to each other, a perpendicular to one of them from any point of the other will lie in the other. By § 17, only one J_ can be drawn to a plane from...

Plane and Solid Geometry: Suggestive Method

Charles Ambrose Van Velzer, George Clinton Shutts - 1894 - 522 σελίδες
...is J_ to MN by the proposition. Suo. 2. How many _!_s can be erected to MN at 2?? 379. COTKHAARY II. If two planes are perpendicular to each other, a perpendicular to one of them from any point in the other lies in the other. . See S«f . 1 of Cor. I, and Art MS. PROPOSITION XXVI....

Syllabus of Geometry

George Albert Wentworth - 1896 - 68 σελίδες
...perpendicular to one of them at any point of their intersection will lie in the other. 517. Cor. 2. If two planes are perpendicular to each other, a perpendicular to one of them from any point of the other will lie in the other. 518. If a straight line is perpendicular to a plane,...

Elements of Geometry

George Washington Hull - 1897 - 408 σελίδες
...being perpendicular to BQ and BC at -B, is perpendicular to the plane MN. § 380. QED 413. COR. 1.—If two planes are perpendicular to each other, a perpendicular to one of the planes from any point of their intersection will lie in the other plane. Given—The plane PQ perpendicular...

Plane and Solid Geometry

George Albert Wentworth - 1899 - 500 σελίδες
...and DE at their point of intersection, and consequently _L to their plane MN. § 507 QED 552. COR. 1. If two planes are perpendicular to each other, a perpendicular...point of their intersection will lie in the other plane. For a line CD drawn in the plane PAB _L to AB at the point D will be _L to MN(§ 551). But at...

Solid Geometry, Τόμοι 6-9

George Albert Wentworth - 1899 - 248 σελίδες
...and DE at their point of intersection, and consequently _L to their plane MN. § 507 QED 552. COK. 1. If two planes are perpendicular to each other, a perpendicular...at any point of their intersection will lie in the oil,er plane. For a line CD drawn in the plane PAB _L to AB at the point D will be _L to MN(§ 551)....

Plane and Solid Geometry

William James Milne - 1899 - 404 σελίδες
...their point of intersection; and, § 442, GH is perpendicular to MN. Therefore, etc. QED 481. Cor. If two planes are perpendicular to each other, a perpendicular...to one of them at any point of their intersection lies in the other. Ex. 753. Find the locus of all points equidistant from two parallel planes. Ex....

The Essentials of Geometry

Webster Wells - 1899 - 424 σελίδες
...Whence, Z ABC is a rt. Z. (§ 24) Then .45, being J- to 5C and 5Q at B, is _L MF. (§ 400) 439. Cor. I. If two planes are perpendicular to each other, a perpendicular...to one of them at any point of their intersection lies in the other. Given planes PQ and MN _L, intersecting in line QR, and line AB drawn from any point...

Plane and Solid Geometry

William James Milne - 1899 - 398 σελίδες
...their point of intersection ; and, § 442, GH is perpendicular to MN. Therefore, etc. QED 481. Cor. // two planes are perpendicular to each other, a perpendicular...to one of them at any point of their intersection lies in the other. Ex. 753. Find the locus of all points equidistant from two parallel planes. Ex....




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