| Euclides - 1855 - 270 pages
...produced, meet in the prune point. 4. To describe a square upon a given straight line. PROP. XII. PROBLEM. **To draw a straight line perpendicular to a given straight line of** unlimited length, from a givenpoint without it. Let AB he the given straight line, which maybe produced... | |
| Cambridge univ, exam. papers - 1856 - 200 pages
...the sides also which subtend, or are opposite to, the equal angles, shall be equal to one another. 3. **Draw a straight line perpendicular to a given straight line of an** uulimited length, from a given point without it. 4. Any two sides of a triangle are together greater... | |
| Euclides - 1860 - 288 pages
...given straight line AB, FC has been drawn at right angles to AB. ,1.1'. i PROPOSITION XII. PROBLEM. **To draw a straight line perpendicular to a given straight...an unlimited length, from a given point without it.** Given the straight line AB, which may be produced to any length both ways, and a point C without it.... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...is impossible. Therefore two straight lines cannot have a common segment. PROPOSITION X3I. PROBLEM. **To draw a straight line perpendicular to a given straight line of** unlimited length, from a given point without it. Let AB be the given straight line, which may be produced... | |
| Euclides - 1862 - 172 pages
...which is impossible. Therefore too straight lines cannot have a common segment. PROP. XII.— PROBLEM. **To draw a straight line perpendicular to a given straight...an unlimited length, from a given point without it.** (References — Prop. i. 8, 10; post. 3; def. 10, 15.) Let AB be the given straight line, which may... | |
| Euclides - 1862 - 140 pages
...Conclusion. — Therefore two straight lines cannot have a common segment. PROPOSITION 12.— PROBLEM. **To draw a straight line perpendicular to a given straight line of** unlimited length, from a given point without it. produced to any length both ways, and let C be a point... | |
| University of Oxford - Education, Higher - 1863 - 316 pages
...a circle, a rectangle, and an obtuse-angled triangle ; and state the three postulates of Euclid. 2. **Draw a straight line perpendicular to a given straight...an unlimited length, from a given point without it.** 3. The greater side of every triangle has the greater angle opposite to it. 4. If two triangles have... | |
| 1864 - 630 pages
...1st. doubly refracting, 2d. biaxal. MATHEMATICS. W. HOPKINS, Esq., MA July 14th. 10 AM — 1 PM 1. **To draw a straight line perpendicular to a given straight line of** indefinite length, from a given point without it. (Eue.) 2. If one circle touch another internally,... | |
| Euclides - 1864 - 448 pages
...is impossible. Therefore two straight lines cannot have a common segment. PROPOSITION XII. PROBLEM. **To draw a straight line perpendicular to a given straight line of** unlimited length, from a given point without it. Let AB be the given straight line, which may be produced... | |
| Euclides - 1865 - 402 pages
...straight line at right angles to a given straight line, from a given point in the same . . . . I. 11. 5. **To draw a straight line perpendicular to a given straight line of** unlimited length, from a given point in the same . . I. 12. 6. Through a given point to draw a straight... | |
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