| John Playfair - 1842 - 317 sider
...\ TJ (27. 1.) to CD. ' f \ PROP. XXXI. PROB. To draw a straight line through a given point parallel **to a given straight line. Let A be the given point,...BC the given straight line, it is required to draw** a straight line through the point A, parallel to the straight line BC. In BC take any point D, and... | |
| Euclides - 1842
...each other in c ; and then the lines CA, cв are drawn, as in the text. PROP. II. PROB. FROM a given **point to draw a straight line equal to a given straight line. Let A be the given point, and** вc the given straight line; it is required to draw from the point л a straight line equal to вc.... | |
| John Playfair - 1844 - 317 sider
...therefore equilateral, and it is described upon the given straight line AB. PROP. II. PROB. From a given **point to draw a straight line equal to a given straight...point A, a straight line equal to BC. From the point** \ to B draw (1. Post.) the straight line AB ; and upon it describe (1. 1.) the equilateral triangle... | |
| Euclides - 1845
...which are, &c. QED PROPOSITION XXXI. PROBLEM. To dram a straight line through a given point parallel **to a given straight line. Let A be the given point,...BC the given straight line. It is required to draw** through the point A a straight line parallel to the straight line BC. In the line BC take any point... | |
| Euclid, James Thomson - 1845 - 352 sider
...it.* PROP. II. PROB. — From a given point to draw a straight line equal to a giren straight bne.t **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. From the point A to B draw (I. post. 1) the straight line AB; and upon... | |
| Euclid - 1845 - 199 sider
...upon the given straight line AB. Which was required to be done. PROPOSITION II. PROB. — From a given **point to draw a straight line equal to a given straight line.** EUCLID S ELEMENTS. • 1 Post. t 1. 1. t 2 Pott. n 3 Post. • 15 Def. t Constr. t 3 Ax. 1 Ax. •... | |
| Euclides - 1846
...Wherefore, Straight lines %c. QED PROP. XXXI. PHOB. Through a given point to draw a straight line parallel **to a given straight line, Let A be the given point,...BC the given straight line : it is required to draw** through the point A a straight line parallel to BC. In BC take any point D, and join AD ; and at the... | |
| Great Britain. Admiralty - 1846
...= BC. AJ., Wherefore on AB has been descr. an equilat. ^ ACB. PROP. II. PROB. 2. 1 Eu. From a given **point to draw a straight line equal to a given straight line.** Post. i. Draw AB ; on AB descr. an equilat. ^^ Prop. i. DAB ; prod. DA, DB to E and F ; from cr. B... | |
| Great Britain. Admiralty - 1846
...= BC. Al r Wherefore on AB has been descr. an equilat. ^ ACB. PROP. II. PROB. 2. 1 Eu. From a given **point to draw a straight line equal to a given straight line.** Def. 15. I'wt.). Draw AB ; on AB descr. an equilat. lilat. ^\ Prop. i. DAB ; prod. DA, DB to E and... | |
| John Playfair - 1846 - 317 sider
...perpendicular to a plane, from a given point above it. Let A be the given point above the plane BH, **it is required to draw from the point A a straight line** perpendicular to the plane BH. In the plane draw any straight line BC, and from the point A draw (Prop.... | |
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