| Robert Potts - 1865 - 528 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 giren point without it. Let AB be the given straight lino, which may be produced... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...impossible. [Axiom 9. Wherefore two straight lines cannot have a common segment. PROPOSITION 12. 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 G be the given point without... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...straight lines cannot have a common segment. / , 4 "I, ".I- -.jC-ftVUt^ KV , PROPOSITION 12. PliOBLEMTo **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 the given point without... | |
| Schools inquiry commission - Education - 1868 - 742 pages
...centres being produced shall pass through that point of contact, B. IIÍ. Prop. 11. 3. In BI Prop. 12. " **To draw a straight line perpendicular to a given straight line of** unlimited length from a given point without it, the following construction is given by Euclid : —... | |
| Euclides - 1871 - 136 pages
...are all equal. Ex. 3. Shew that Prop. xi. is a particular case of Prop. ix. PROPOSITION XII. PROBLEM. **To draw a straight line perpendicular to a given straight...from a given point without it. Let AB be the given** st. line of unlimited length ; C the given pt. without it. It is required to draw from C a st. line... | |
| Edinburgh univ - 1871 - 392 pages
...money is exactly equal to seven times B's. What sums had they at first? Wednesday, 22d March 1871. 1. **To draw a straight line perpendicular to a given straight...an unlimited length, from a given point without it.** 2. If the square described upon one of the sides of a triangle is equal to the square described upon... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...are all equal. Ex. 3. Shew that Prop. xi. is a particular case of Prop. ix. PROPOSITION XlI. PROBLEM. **To draw a straight line perpendicular' to a given...an unlimited length from a given point without it.** C Let AB be the given st. line of unlimited length ; C the given pt. without it. It is required to... | |
| Henry Major - Student teachers - 1873 - 588 pages
...the greater, which is impossible; therefore two straight lines cannot have a common segment. XII. — **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... | |
| Euclides - 1874 - 342 pages
...impossible. Therefore, 4. Two straight lines cannot have a common segment. PROPOSITION 12. — 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 any length both ways, and let C be a point without it. It is required... | |
| Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...with BC; .-. BD is in the same straight line with BC. PROPOSITION XI. It is always possible to draw a **perpendicular to a given straight line of an unlimited length from a given point without it.** A Let A be any point without the straight line BC of unlimited length. Then from A a straight line... | |
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