 | 1890 - 608 pages
...diminished by increasing its terms by the same magnitude. 2. If a straight line stand at right angles to each of two straight lines at their point of intersection, it is at right angles to the plane which passes through them. Two tetrahedra ABCD, afiyS are such that the... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...angles to all straight lines meeting it in that plane. PROP. 4.— If a straight line is at right angles to each of two straight lines at their point of intersection, it is at right angles to the plane in which they are. Let the st. line EF be xr to each of the two st. lines... | |
 | 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... | |
 | 1891 - 644 pages
...first set as the first to the last of the other. If A : B=P : <?then A + B : A~ B — P + Q : P~ Q. 2. If a straight line is perpendicular to each of two...their point of intersection, it is perpendicular to their plane. The locus of a point equidistant from three straight lines which meet in a point, but... | |
 | Seth Thayer Stewart - Geometry, Modern - 1891 - 422 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.... | |
 | Seth Thayer Stewart - Geometry - 1891 - 428 pages
...at H in this last plane. PROPOSITION II. 43O. Theorem : // a straight lint- is perpendicular to tivo straight lines at their point of intersection, it is perpendicular to the plane of those lines. Statement: Let AB be perpendicular to CK and EF at B. Prove that / 2 is perpendicular... | |
 | Yale University - 1892 - 200 pages
...other in what ratio? Of all plane figures having the same area what one has the least perimeter ? 5. If a straight line is perpendicular to each of two...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.... | |
 | Euclid - Geometry - 1892 - 460 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... | |
 | 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... | |
 | Examinations - 1893 - 408 pages
...angle of a diedral angle, tangent plane, surface vf revolution, oblique prism, sphere. 15 2 Prove that if a straight line is perpendicular to each of two...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... | |
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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. 
