| Euclides - 1864
...upon the given straight line AB. Which 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 is required to draw from the point A, a straight line equal to BC. From... | |
| Euclides - 1865
...AC is equal to DF. PROPOSITION XXXIII. PROB. 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** a straight line through the point A, parallel to the line BC. In BC take any point D, and join AD,... | |
| Euclides - 1865
...described upon the given straight line AB. Which was required to be done. PROP. IL— PROBLEM. from a given **point to draw a straight line equal to a given straight line.** (References — Prop. I. 1 ; post. 1, 2, 3 ; ax. 1, 3 ; def. 15.) • To be written out, or repeated... | |
| John Playfair - 1855 - 317 sider
...(27. 1.) to CD. \ PROP. XXXI. PROB. To draw a straight line through a given point parallel to a gtven **straight line. Let A be the given point, and BC the given straight line,** h is required lo draw a straight line through the point A, parallel to the straight line BC. In BC... | |
| Walter Marsham Adams - 1866
...once by a twofoot rule or a pair of compasses ? For example, when Euclid has a problem, " From a given **point to draw a straight line equal to a given straight line,"** the question at once suggests itself, — Why not take a piece of string and measure it ? The answer... | |
| Euclid, Isaac Todhunter - 1867 - 400 sider
...straight lines &c. QED PROPOSITION 31. PROBLEM. 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 E D, and... | |
| Euclid, Isaac Todhunter - 1867 - 400 sider
...perpendicular to a given plane, from a given point without it. Let A be the given point without the plane BH: **it is required to draw from the point A a straight line** perpendicular to the plane BH. Draw any straight line BC in the plane BH, and from the point A draw... | |
| Schools inquiry commission - 1868
...italics necessary, and if so, why? 4. Is the following a correct solution of the problem, from a given **point to draw a straight line equal to a given straight...be the given point and BC the given straight line** ; join AB, and on AB describe the equilateral triangle ADB. Produce DA to E; and with centre D at the... | |
| Robert Potts - 1868 - 410 sider
...upon the given straight line A B. Which 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 is required to draw from the point A, a straight line equal to BC. From... | |
| Edward Brooks - 1868 - 275 sider
...CD bisect ACS (B. IV. Th. II.). PROBLEM VI. Through a given point to draw a straight line parallel **to a given straight line. Let A be the given point and** CD the given line. From. A as a centre, with a radius greater than the shortest distance from A to... | |
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