| University of Oxford - Education, Higher - 1863 - 316 pages
...sides is a right angle. 6. Describe a square that shall be equal to a given rectilineal figure. 7. **Draw a straight line through a given point parallel to a given straight line.** 8. On the same base, and on the same side of it, there cannot be two triangles having their sides which... | |
| Benjamin Greenleaf - Geometry - 1863 - 504 pages
...parts, into 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 point,... | |
| 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 - 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... | |
| Robert Potts - 1865 - 528 pages
...straight lines which are parallel, &c. QED PROPOSITION XXXI. PROBLEM. To draw a straight line throt4gh **a given point parallel to a given straight line. Let A be the given point, and BC** the given straight line. It is required to draw, through the point A, a straight line parallel to the... | |
| 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... | |
| 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 point, and BC** the given straight line, it is required to draw a straight line through the point A, parallel to the... | |
| John Playfair - Geometry - 1855 - 350 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... | |
| 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...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 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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