 | Euclides - 1855 - 270 pagina’s
...shall, if 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 pagina’s
...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 pagina’s
...the given point C, in the given straight line AB, FC has been drawn at right angles to AB. ,1.1'. i PROPOSITION XII. PROBLEM. To draw a straight line...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.... | |
 | Eucleides - 1860 - 396 pagina’s
...been deviated from, in order to make the similarity between these two propositions more, apparent. PROPOSITION XII. PROBLEM. — To draw a straight line...perpendicular to a given straight line of an unlimited length (AB), from a given point (C) without it. SOLUTION. Take any point D upon ..-—£•-.. the other side... | |
 | Robert Potts - 1860 - 380 pagina’s
...angle, which 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 pagina’s
...the greater, which is impossible. Therefore too straight lines cannot have a common segment. PROP. XII.— PROBLEM. To draw a straight line perpendicular...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 pagina’s
...impossible. 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 - 1863 - 316 pagina’s
...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... | |
 | Euclides - 1864 - 262 pagina’s
...the greater angle, which 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 wit/taut it. Let AB be the given straight line, which may be produced... | |
 | Euclides - 1864 - 448 pagina’s
...the greater angle, which 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... | |
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To draw a straight line perpendicular to a given straight line of an unlimited length, from a given point without it. 
