| William Chauvenet - Geometry - 1872 - 382 pages
...consequently also the angles 0 and A (10). PROPOSITION XXX.—PROBLEM. 75. Through a given point, to draw a **parallel to a given straight line. Let A be the given point, and BC** the given line. From any point B in BC draw the straight * line BAD through A. At the point A, by ,{... | |
| Henry Major - Student teachers - 1873 - 592 pages
...also AGK is equal to GKD ; and they are alternate angles ; therefore AB is parallel to CD. XXXI. — **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... | |
| Benjamin Greenleaf - Geometry - 1873 - 202 pages
...equal parts, into eight, into sixteen, &c. PROBLEM VII. 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, Q '"....... j^ AE, to any... | |
| Euclides - 1874 - 342 pages
...parallel to CD (I. 27). Wherefore, straight lines which are parallel, &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, through the point A, a straight line parallel to the... | |
| Edward Atkins - 1874 - 428 pages
...Therefore AB is parallel to CD (I. 27). Therefore, 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 BC.... | |
| Euclides - 1874 - 120 pages
...therefore AB is parallel to CD. [I. 27.] Therefore, straight lines, &c. QED PROPOSITION 31. PROBLEM. **To draw a straight line through a given point parallel...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... | |
| Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...HD, DK, KH are respectively equal to FA, AG, GF; PROBLEM F. Find the shortest path from a given point **to a given straight line. Let A be the given point and BC** the given straight line. From A let fall AQ j. to BC. Then shall AQ be less than any other straight... | |
| Edward Atkins - 1874 - 424 pages
...are equal to one another. Proposition 2.— Problem. From a given point to draw a straight Kiie equal **to a given straight line. Let A be the given point, and BC** the given straight H"» It is required to draw from the point A a straight line equal to BC. CONSTRUCTION.... | |
| Benjamin Greenleaf - Geometry - 1874 - 206 pages
...equal parts, into eight, into sixteen, &c. PROBLEM VII. 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, Q '"•--... ^ AE, to... | |
| Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 234 pages
...an equilateral triangle. B PROP. II. — PROBLEM. From a given point to draw a straight line equal **to a given straight line. Let A be the given point, and** B the given straight line ; it is required to draw from A a straight line equal to B. From the centre... | |
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