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" If a straight line is perpendicular to each of two other straight lines at their point of intersection, it is perpendicular to the plane of the two lines. "
The Elements of Solid Geometry - Page 10
by Charles Davison - 1905 - 122 pages
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 498 pages
...of the planes. § 505 BOOK VI. SOLID GEOMETRY. PROPOSITION II. THEOREM. 507. If a straight line is perpendicular to each of two other straight lines...of intersection, it is perpendicular to the plane of the two lines. Let AB be perpendicular to BC and BD at B. To prove that AB is A. to the plane MN...
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Elementary Geometry, Plane and Solid: For Use in High Schools and Academies

Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...LINES AND PLANES IN SPACE PROPOSITION IV 397. If a straight line is perpendicular to each of two given straight lines at their point of intersection, it is perpendicular to the plane of those lines. Let the straight line AO be perpendicular to both the straight lines BO and CO at their...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...they may be produced. PROPOSITION II. THEOREM 461. If a straight line is perpendicular to each of two lines at their point of intersection, it is perpendicular to the plane of those lines. Hyp. AB is J. to BC and BD at B. To prove AB is J. to the plane MN containing BC and...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...they may be produced. PROPOSITION II. THEOREM 461. If a straight line is perpendicular to each of two lines at their point of intersection, it is perpendicular to the plane of those lines. Hyp. AB is -l. to BC and BD at B. To prove AB is -l. to the plane MN containing BC...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...they may be produced. PROPOSITION II. THEOREM 461. If a straight line is perpendicular to each of two lines at their point of intersection, it is perpendicular to the plane of those lines. Hyp. AB is _L to BC and BD at B. To prove AB is J_ to the plane MN containing BC and...
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Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1902 - 246 pages
...consequently the intersection of the plane*. § 505 PROPOSITION II. THEOREM. 507. // a straight line is perpendicular to each of two other straight lines...of intersection, it is perpendicular to the plane of the two lines. Let AB be perpendicular to BC and BD at B. To prove that AB is _L to the plane MN...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1904 - 496 pages
...of the planes. § 505 BOOK VI. SOLID GEOMETRY. PROPOSITION II. THEOREM. 507. If a straight line is perpendicular to each of two other straight lines...of intersection, it is perpendicular to the plane of the two lines. Let AB be perpendicular to BC and BD at B. To prove that AB is -L to the plane MN...
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Solid Geometry

Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...many different planes ? BOOK VI. SOLID GEOMETRY V PROPOSITION I. THEOREM 509. If a straight line is perpendicular to each of two other straight lines...of intersection, it is perpendicular to the plane of those lines. Given AB _L lines BC and BD, and the plane MN passing through BC and BD. To prove AB...
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Plane and Solid Geometry

Fletcher Durell - Geometry - 1911 - 553 pages
...different planes ? PROPOSITION I. THEOREM 509, If a straight line is perpendicular to each of tivo oilier straight lines at their point of intersection, it is perpendicular to the plane of those lines. Given AB JL lines BC and BD, and the plane MN passing through BC and BD. To prove AB...
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School Science and Mathematics, Volume 11

Education - 1911 - 946 pages
...the bisecting planes of their dihedral angles. [S6.] in. Planes and Lines. 1. If a straight line is perpendicular to each of two other straight lines...their point of intersection, it is perpendicular to every line in their plane through the foot of the perpendicular. [El.] 2. Every perpendicular that...
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