| Oxford univ, local exams - 1880 - 394 pages
...sum of the rectangles contained by its opposite sides. 12. If a straight line stand at right angles **to each of two straight lines at their point of intersection, it** shall also be at right angles to the plane which passes through them, that is, to the plane in which... | |
| Education, Higher - 1882 - 498 pages
...point of division is the centre of the inscribed circle. 16. If a straight line stand at right angles **to each of two straight lines at their point of intersection, it** shall also be at right angles to the plane which passes through them, that is, to the plane in which... | |
| William Chauvenet - Geometry - 1884 - 386 pages
...perpendicular. PROPOSITION V.— THEOREM. 13. If a straight line is perpendicular to each of two strair/ht **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... | |
| Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...straight line ; which was to be proved. PROPOSITION IV. THEOREM. // a straight line is perpendicular to **two straight lines at their point of intersection, it is perpendicular to the plane** of those lines. BOOK VI. pendicular to every straight line of the plane which passes through P, and... | |
| William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...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 two...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... | |
| William Chauvenet - Geometry - 1888 - 346 pages
...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 two straight lines** lit their point of intersection, it is perpendicular to the plane of tiiose lines. Corollary I. At... | |
| University College, Dundee - 1889 - 358 pages
...QA. BB ; and PQR lie on a straight line if BP. CQ. AR = CP. AQ. BR ; attention being paid to sign. 9. **If a straight line is perpendicular to each of two straight lines** where they meet, prove that it is perpendicular to the plane in which they lie. 10. If two straight... | |
| Edward Albert Bowser - Geometry - 1890 - 420 pages
...the plane, is a circle whose centre is the foot of (he perpendicular. Proposition 3. Theorem. 500. **If a straight line is perpendicular to each of two...of intersection, it is perpendicular to the plane** of those lines. Hyp. Let OP be_]_to PA, PB at the pt. P. To prove OP is J_ to the plane MN of these... | |
| Edward Albert Bowser - Geometry - 1890 - 414 pages
...from the foot of the perpendicular.SOLID GEOMETRY. Proposition 3. Theorem. '*• 500. If a ftraight **line is perpendicular to each of two straight lines...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... | |
| 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... | |
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