| James Hamblin Smith - Geometry - 1876 - 376 pages
...following examples. Our first example of the Analytical process shall be the 31st Proposition of Euclid's **First Book. Ex. 1. To draw a straight line through...given straight line. Let A be the given point, and** DC be the given straight line. Suppose the problem to be effected, and EF to be the straight line required.... | |
| Edward Atkins - 1876 - 130 pages
...Therefore AB is parallel to CD (I. 27). Therefore, straight lines, &c. QED Proposition 31. — Problem. **To draw a straight line through a given point, parallel...given straight line. Let A be the given point, and BC** the given straight line. It is required to draw a straight line through the point A, parallel to BC.... | |
| Euclides, James Hamblin SMITH - 1876 - 382 pages
...each, the first pair make the same angles with one another as the second. PROPOSITION XXXI. PROBLEM. **To draw a straight line through a given point parallel to a given straight line. Let A be the given** pt. and BC the given at. line. It is required to draw through A a st. line \\ to BC. In BC take any... | |
| Henry Major - 1876 - 784 pages
...have been reckoned as New Year's Day ? When was the present style adopted in England and Scotland ? **1. To draw a straight line through a given point parallel to a given straight line.** Draw a line DE parallel to the base BC of a triangle ABC, so that DE shall be equal to the difference... | |
| Francis Cuthbertson (geometer.) - 1876 - 102 pages
...Therefore PQ and RS are parallel. Wherefore if in a plane a straight line &C. QED PROPOSITION XVII. **To draw a straight line through a given point parallel to a given straight line. Let** .Fbe the given point, and CD the given straight line. It is required to draw a straight line through... | |
| Education Department,London - 1876 - 1010 pages
...also equal, then shall the other sides be equal, each to each. 4. Explain the terms Problem, Theorem. **To draw a straight line through a given point parallel to a given straight line.** From a given point without a given line to draw a straight line, making with the given line an angle... | |
| Robert Potts - Geometry, Plane - 1876 - 446 pages
...was required to be done. PROPOSITION II. PROBLEM. From a given point, to draw a straight line equal **to a given straight line, Let A be the given point, and** BCthe given straight line. It iť required to draw from the point A, a straight line equal to BC. From... | |
| Euclides - 1877 - 58 pages
...twice as long as the first. PROPOSITION II. PROBLEM. From a given point to draw a straight line equal **to a given straight line. Let A be the given point, and BC** the given straight line ; it is required to draw from A a straight line equal to BC. Construction.... | |
| Edward Atkins - 1877 - 72 pages
...Which was to be done. Proposition 2.— Problem. From a given point to draw a straight liiie equal **to a given straight line. Let A be the given point, and BC** the given straight line. It is required to draw from the point A a straight line equal to BC. CONSTRUCTION.... | |
| Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...triangle ABC is equilateral. PROPOSITION II.—PROBLEM. From a given fyoint to draw a straight line equal **to a given straight line. Let A be the given point and BC** the given line; it is required to draw from the point A a straight line equal to BC. point F as centre,... | |
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