 | Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...28th proposition that these two right lines AB and CD are parallel to each other. PROPOSITION XXXI. To draw a straight line through a given point parallel to a given straight line. For the construction requisite in this proposition we must be able, — 1. To join two given points... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...each, the first pair make the same angles with one another as the second. PROPOSITION XXXI. PROBLEM. To draw a straight line through a given point parallel to a given straight line. E Let A be the given pt. and BC the given st. line. It is required to draw through A a st. line \\... | |
 | Henry Major - Student teachers - 1873 - 588 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...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 D, and... | |
 | 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... | |
 | 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...BC the given straight line. It is required to draw a straight line through the point A, parallel to BC. CONSTRUCTION. — In BC take any "" point D, and... | |
 | 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...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... | |
 | 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 line AR drawn from A to... | |
 | Euclides - 1874 - 342 pages
...PROPOSITION 2. — Problem. From, a given paint, to draw a straight line equal to a given straight 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. Constriction. From the point A to B draw the straight... | |
 | Edward Atkins - 1874 - 426 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. — From the... | |
 | 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... | |
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To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line... 
