 | Euclides - 1884 - 434 pages
...proposition in Euclid's manner by drawing a straight line GHK to cut AB, CD, and EF, and applying I. 29, 27. Through a given point to draw a straight line parallel to a given straight line. A •C D Let A be the given point, and BC the given straight line : it is required to draw through... | |
 | Stewart W. and co - 1884 - 272 pages
...alternate angles ; therefore AB is parallel to CD. XXXI. — 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 ; it is required to draw a straight line through the point A, parallel to... | |
 | Evan Wilhelm Evans - Geometry - 1884 - 170 pages
...by equality of the triangles DEF, ABC, the angle F is equal to the angle C (Theo. XIX). PROBLEM VI. Through a given point, to draw a straight line parallel to a given line. SOLUTION.—Let AB be E £_ the given straight line, and C the given point. In AB take any point... | |
 | Euclides - 1884 - 182 pages
...'imit, either AB or CD. 73. PROPOSITION XXXI. — PROBLEM. 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. It is required to draw a straight line through the point A parallel to... | |
 | Mathematical association - 1884 - 146 pages
...makes with BC an angle equal to the angle DEF. FROB. 6. 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 A a straight line parallel to BC. In BC... | |
 | Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...with BC an angle equal to the angle DEF. QEF PROS. 6. 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 A a straight line parallel to BC. In BC... | |
 | Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...from what was just shown ; consequently, the angles ACE and ECB are also equal (P. XV.). PROBLEM VI. Through a given point, to draw a straight line parallel to a given straight line. Let A be a given point, and BC a given line. From the point A as a centre, with a radius AE, greater than the... | |
 | George Albert Wentworth - Geometry - 1885 - 424 pages
...§180 (in the same circle equal arcs subtend equal A at the centre). PROPOSITION XXIX. PROBLEM. 227. Through a given point to draw a straight line parallel to a given straight line. Let AB be the given line, and H the given point. It is required to draw through the point H a line II to... | |
 | Edinburgh Mathematical Society - Mathematics - 1887 - 316 pages
...equilateral triangle BDF. Let AE and BF intersect at G. GAB is the equilateral triangle required. 2. Through a given point to draw a straight line parallel to a given straight line. Euclid I. 31. See figures 3, 4. Let A be the given point, BC the given straight line. With A as centre... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...consequently also the angles 0 and A. PROPOSITION XXIV.—PROBLEM. 63. Through a given point, to draw a parallel to a given straight line. Let A be the given point, and BC *> the given line. / x From any point B in BC draw the A/. \ E straight line BAD through A. At the... | |
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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 through the point A a straight line parallel to BC. 
