 | 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 BD.... | |
 | James Howard Gore - Geometry - 1902 - 266 pages
...the perpendicular. PROPOSITION III. THEOREM. 337. If a straight line is perpendicular to each of tivo straight lines at their point of intersection it is perpendicular to the plane of those lines. Let BA be perpendicular to AD and AC two intersecting lines in the plane MN, and let EA... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 248 pages
...planes. § 50. r > PROPOSITION II. THEOREM. 507. 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. Let AB be perpendicular to BC and BD at B. To prove that AB is -L to the plane MN of... | |
 | University of St. Andrews - 1902 - 740 pages
...BC. AE cuts the diagonal BD in F. Prove that BF is £ BD. 11. If a straight line be at right angles to each of two straight lines at their point of intersection it shall be at right angles to the plane containing them. From a point P are drawn lines PA, PB perpendicular... | |
 | Euclid - Euclid's Elements - 1904 - 488 pages
...the plane of AB, AC ; .-. DA is perp. to this plane. QED PROPOSITION 4. THEOREM. [Euclid-s Proof.] If a straight line is perpendicular to each of two straight lines at their point of intersection, it shall also be perpendicular to the plane in which they lie Let the st. line EF be perp. to each of... | |
 | 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 _L... | |
 | Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...SOLID GEOMETRY V PROPOSITION I. THEOREM 509. 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 those lines. Given AB _L lines BC and BD, and the plane MN passing through BC and BD. To prove AB J.... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...SOLID GEOMETRY. PROPOSITION II. THEOREM. 507. 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. Let AB be perpendicular to BC and BD at B. To prove that AB is -L to the plane MN of... | |
 | William Chauvenet - 1905 - 336 pages
...At a given point in a plane one perpendicular can be erected to the plane, and but one. PROPOSITION IV. If a straight line is perpendicular to each of...intersection, it is perpendicular to the plane of those lines. Corollary I. At a given point of a straight line, one plane can be drawn perpendicular... | |
 | Charles Davison - Geometry, Solid - 1905 - 140 pages
...LINES PERPENDICULAR TO PLANES. 9. PROP. 8. If a straight line be perpendicular to each of two other straight lines at their point of intersection, it is perpendicular to the plane containing them*. Let OA be perpendicular to each of the lines OB, OC at their point of intersection... | |
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If a straight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to the plane of those lines. 
