 | Edward Albert Bowser - Geometry - 1890 - 414 pages
...perpendicular.SOLID GEOMETRY. Proposition 3. Theorem. '*• 500. If a ftraight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to the plane of those lines. Hyp. Let OP beJ_to PA, PB at the pt. P. To prove OP is J_ to the plane MN of these... | |
 | Edward Albert Bowser - Geometry - 1890 - 418 pages
...perpendicular. Proposition 3. Theorem. 500. If a nfrnight line is perpendicular to each of two ytraight lines at their point of intersection, it is perpendicular to the plane of those lines. Hyp. Let OP bcJ_to PA, PB at the pt. P. To prove OP is J_ to the plane MN of these... | |
 | Seth Thayer Stewart - Geometry, Modern - 1891 - 428 pages
...plane at the greater distance is the longer line. PROP. II. If a straight line is perpendicular to two straight lines at their point of intersection, it is perpendicular to the plane of those lines. PROP. III. If two straight lines are perpendicular to the same plane, they are parallel.... | |
 | George Albert Wentworth - Geometry - 1892 - 468 pages
...without the line. PERPENDICULAR LINES AND PLANES. PROPOSITION II. THEOREM. 472. // 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 AB perpendicular to the plane... | |
 | Yale University - 1892 - 200 pages
...same area what one has the least perimeter ? 5. 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. 6. A triangular pyramid is one-third of a triangular prism of the same base and altitude.... | |
 | George Albert Wentworth - Geometry - 1888 - 466 pages
...AND PLANES. PROPOSITION II. THEOREM. 472. If a straight line is perpendicular to each of two otJier straight lines at their point of intersection, it is perpendicular to the plane of the two lines. A Let AB be perpendicular to BC and BD at B. To prove AB perpendicular to the plane... | |
 | William Chauvenet - 1893 - 340 pages
...the perpendicular. PROPOSITION IV.—THEOREM. 10. 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. Let AP be perpendicular to PB and PC, at their intersection P; then AP is perpendicular... | |
 | Examinations - 1893 - 408 pages
...revolution, oblique prism, sphere. 15 2 Prove that if a straight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to the plane of the two lines. 1 8 3 Prove that the sum of the face angles of any convex polyedral angle is less... | |
 | Arthur Latham Baker - Geometry, Solid - 1893 - 154 pages
...point without, § 5. PROPOSITION II. THEOREM. 15. 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. Notation. Let m and n be two straight lines which determine the plane M, and p another... | |
 | William C. Bartol - Geometry, Solid - 1893 - 106 pages
...passed perpendicular to the line. PROPOSITION IV. 16. THEOREM. If a line is perpendicular to each of two lines at their point of intersection, it is perpendicular to the plane of the two lines. By our hypothesis BG and BD are perpendiculars to AB, at a common point B ; therefore... | |
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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. 
