| Robert Potts - 1865 - 528 pages
...the middle points of all straight lines which have one extremity in a given point and the other in a given straight line. Let A be the given point, and BC the given line, and let any line AD be drawn from A to meet the line BC in any point D, and be bisected in P.... | |
| Euclides - 1865 - 402 pages
...other. A CLASSIFICATION OF THE PROPOSITIONS OF BOOK I. Problems. A. Relating to Straight Lines. 1. From a given point, to draw a straight line equal to a given finite straight line . . . . . . . I. 2. 2. From the greater of two given straight lines to cut off... | |
| Walter Marsham Adams - 1866 - 114 pages
...be done at 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... | |
| John Playfair - Geometry - 1855 - 360 pages
...ABC is 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 gwen straight line. Let A be the given point, and BC the given straight line ; it is required to draw,... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...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... | |
| Schools inquiry commission - Education - 1868 - 742 pages
...words in 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...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 - 434 pages
...described 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...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... | |
| Benjamin Greenleaf - Geometry - 1868 - 340 pages
...eight, into sixteen, &c. PROBLEM VII. 302. Through a given point, to draw a straight line parallel to a given straight line. Let A be the given point, and A '-..^ B CD the given straight line. '""--... From A draw a straight line, '"-•-...: AE, to any... | |
| Edward Brooks - Geometry - 1868 - 284 pages
...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... | |
| Isaac Todhunter - Measurement - 1869 - 312 pages
...Then DEF will be the triangle required. 44. Through a given print to draw a straight line parallel to a given straight line. Let A be the given point, and B (/the given straight line. Take any point D in BC. From the centre D, with the radius DA describe... | |
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