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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. "
Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ... - Page 139
by George Roberts Perkins - 1860 - 443 pages
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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 BD....
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Plane and Solid Geometry

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...
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Solid Geometry, Volumes 6-9

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...
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Calendar

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...
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

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...
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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 _L...
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Plane and Solid Geometry

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...
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Solid Geometry

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....
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Treatise on Elementary Geometry

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...
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School Science and Mathematics, Volume 19

Education - 1919 - 960 pages
...subject, namely a model to illustrate the theorem: If a line is perpendicular to each of two other lines at their point of intersection it is perpendicular to the plane of the two lines. This model is made according to specifications, insuring uniformity, and I make a freehand...
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