| Euclides - 1864 - 448 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 J?Cthe given straight line. It is required to draw from the point A, a straight line equal to BC. From... | |
| Euclides - 1864 - 262 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 is required to draw from the point A, a straight line equal to BC. From... | |
| Euclides - 1865 - 80 pages
...the side 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...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 - 402 pages
...Straight lines which are parallel to the same straight line, are parallel to each other. Prop. 31. To draw a straight line through a given point parallel to a given straight line. Prop. 32. If a side of any triangle be produced, the exterior angle is equal to the two interior and... | |
| 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.... | |
| John Playfair - Geometry - 1855 - 360 pages
...they are alternate angles ; therefore AB is parallel £J ~"\ B (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... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...therefore AB is parallel to CD. [I. 27. Wherefore, straight lines &c. QED PROPOSITION 31. PROBLEM. To draw a straight line through a given point parallel...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,... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...therefore AB is parallel to CD. [I. 27. Wherefore, straight lines &c. QED PROPOSITION 31. PROBLEM. To draw a straight line through a given point parallel...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
...Is the following a correct solution of the 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 ; join AB, and on AB describe the equilateral triangle ADB. Produce DA to E; and with centre D at the... | |
| 1868 - 344 pages
...other sides, aud show that the perimeter of the parallelogram so formed is a constant quantity. 3. Draw a straight line through a given point parallel to a given straight line. SECTION IV. 1. The opposite sides and angles of a parallelogram are equal, and the diagonal bisects... | |
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