 | Euclides, James Hamblin Smith - 1872 - 376 páginas
...other straight lines, each to 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 \\... | |
 | William Chauvenet - 1872 - 382 páginas
...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 ,{ the preceding... | |
 | Euclid, Charles Peter Mason - 1872 - 216 páginas
...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... | |
 | Benjamin Greenleaf - 1873 - 202 páginas
...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 páginas
...is 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...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... | |
 | Euclides - 1874 - 120 páginas
...to one of its diciyonals. PROPOSITION 2. PROBLEM. From a given point to draw a straight line equal to a given straight line. ^ Let A be the given point,...given ' • straight line. It is required to draw from the point A a straight line equal to BC. f. From the point A ^' to B draw the straightline^B;... | |
 | Edward Atkins - 1874 - 428 páginas
...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 the point A a straight line qual to BC. C0NSTRUCTION. — From the point A to B draw the straight... | |
 | Francis Cuthbertson - 1874 - 400 páginas
...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... | |
 | Edward Atkins - 1874 - 426 páginas
...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 - 1874 - 206 páginas
...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... 
