 | Examinations - 1893 - 408 pages
...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 than four right angles.... | |
 | William Chauvenet - 1893 - 340 pages
...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... | |
 | Arthur Latham Baker - Geometry, Solid - 1893 - 154 pages
...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... | |
 | University of the State of New York. Examination Department - Examinations - 1894 - 412 pages
...intersecting straight lines determine the position of a plane. 3 Prove that the straight line which is perpendicular to each of two lines at their point of intersection is perpendicular to the plane of those lines. 4 A section of a right circular cone is made by a plane... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...intersection is a straight line. 472. 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. 473. Every perpendicular that can be drawn to a straight line at a given point lies in a plane perpendicular... | |
 | United States. War Department - 1896 - 1256 pages
...secant and its external segment. [Weight, 2.] 3. If a straight line is perpendicular to two straight lines at their point of intersection it is perpendicular to the plane of those lines. [Weight, 4.] 4. Given an equilateral triangle inscribed in a circle, and a similar circumscribed... | |
 | George Washington Hull - Geometry - 1897 - 408 pages
...perpendicular. PROPOSITION VII. THEOREM. 880. // 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. Given—PO perpendicular to AO and BO at their intersection O. To Prove—PO perpendicular... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 374 pages
...the line. PROPOSITION III. THEOREM 511. 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. GIVEN — the straight lineTJG1 perpendicular to each of the two intersecting straight... | |
 | Yale University - 1898 - 212 pages
...pyramid, a cone, a cylinder, a sphere. 2. 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. 3. If a pyramid is cut by a plane parallel to its base, (a) the edges and altitude are... | |
 | Mathematics - 1898 - 228 pages
...pyramid, a cone, a cylinder, a sphere. 2. 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. 3. If a pyramid is cut by a plane parallel to its base, (a) the edges and altitude are... | |
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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. 
