 | Benjamin Greenleaf - Geometry - 1873 - 202 pages
...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 - 120 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,...given ' • straight line : it is required to draw a straight line through the point A parallel to the straight line BC. fy In BC take any *• point... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...extremities of the given line, will also form with it an equilateral triangle. B PROP. II. — PROBLEM. From a given point to draw a straight line equal to...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... | |
 | Euclides - 1874 - 342 pages
...parallel, &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, through the point A, a straight line parallel to the straight line BC. r AF Construction. In the line... | |
 | Edward Atkins - 1874 - 426 pages
...CA 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. — From the... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...from that centre," which does not allow the transfer of distances by means of compasses. PROBLEM (/). From a given point to draw a straight line equal to a given straight line. Let C be the given point, and AB the given straight line. Join AC, and upon AC describe an equilateral... | |
 | Edward Atkins - 1874 - 428 pages
...Therefore AB, BC, and CA are equal to one another. PROPOSITIONS. BC=IJO. Proposition 2.— Problem. From a given point to draw a straight line equal to a given straiglti line. Let A be the given point, and BC the given straight line. It is required to draw from... | |
 | Benjamin Greenleaf - Geometry - 1874 - 206 pages
...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... | |
 | Braithwaite Arnett - 1874 - 130 pages
...inner circle in 6', D. Draw OE perpendicular to AB. Then AE=EB, and CE=ED; therefore, AC=DB. 6. (i) Let A be the given point, and BC the given straight line ; draw AD perpendicular to BC, and, if necessary, produce DA to E, making DE equal to the given radius.... | |
 | Edward Atkins - 1876 - 130 pages
...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 BC. CONSTRUCTION. — Tn BC take any point D, and... | |
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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 ; it is required to draw, from the point A, a straight line equal to BC. 
