| Euclides - 1852 - 152 pages
...greater; which is impossible; therefore two straight lines cannot have a common segment. PROP. XII. PROB. **To draw a straight line perpendicular to a given straight...from a given point without it. Let AB be the given** straight line, which may be produced to any length both ways, and let C be a point without it. It is... | |
| London univ - 1852 - 358 pages
...their other angles shall be equal each to each, viz. those to which the equal sides are opposite. 4. **To draw a straight line perpendicular to a given straight line of** unlimited length, from a given point without it. 5. If from the ends of a side of a triangle, there... | |
| Euclides - 1853 - 146 pages
...impossible ; therefore 4. Two straight lines cannot have a common segment. PROP. XII. — PROBLEM. **To draw a, straight line perpendicular to a given...from a given point without it. Let AB be the given** straight line, which may be produced to any " length both ways, and let C be a point without it. It... | |
| Euclides - Geometry - 1853 - 176 pages
...impossible ; therefore two straight lines cannot have a common segment. PROPOSITION XII. — PROBLEM. **To draw a straight line perpendicular to a given straight...from a given point without it. LET ab be the given** straight line, which may be produced to any length both ways, and let c be a point without it. It is... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...have a common segment. Ant PROPOSITION XII. PiiOB. To draw a straight line perpendicular to a giren **straight line of an unlimited length, from a given point without it. Let AB be the given** straight line, which may be produced to any length both ways, and let C be a point without it. It is... | |
| Euclid - Geometry - 1853 - 176 pages
...to make the similarity between these two propositions more apparent. PROPOSITION XII. PHOBLEM. — **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 of... | |
| Thomas Lund - Geometry - 1854 - 520 pages
...from the line, or from a known point without it towards the line. cular to a given straight line of **unlimited length from a given point without it. Let AB be the given** straight line, and C a given point without it, from which it is required to draw a perpendicular to... | |
| Popular educator - 1852 - 1272 pages
...How may this proposition be proved, when the triangles are on different sides of the common base ? 6. **To draw a straight line perpendicular to a given straight line of** unlimited length, from a given point without it. 6. If a straight line fall upon two parallel straight... | |
| Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...the sides also which subtend, or are opposite to the equal angles, shall he equal to one another. 2. **Draw a straight line perpendicular to a given straight...an unlimited length, from a given point without it.** 3. If a side of any triangle he produced, the exterior angle is equal to the two interior and opposite... | |
| 1855 - 264 pages
...the sides also which suhtend, or are oppositeto, the equal angles, shall he equal to one another. 2. **Draw a straight line perpendicular to a given straight line of an unlimited length, from** u given point without it. 3. If a side of any triangle be produced, the exterior angle is equal to... | |
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