 | Euclides - 1860 - 288 pages
...angles ; therefore AB is parallel to CD (I. 27). • ....!.: • » *•*; PROPOSITION XXXI. PROBLEM. To draw a straight line through a given point parallel to a given straight line. . Given the point A and the straight line BC ; it is requirtffi to draw a straight line through the... | |
 | Royal college of surgeons of England - 1860 - 332 pages
...other ; the base of that which has the greater angle shall be greater than the base of the other. 6. Draw a straight line through a given point parallel to a /• given straight line. 7. In any right-angled triangle, the square which is described upon the side subtending the right angle... | |
 | Elias Loomis - Conic sections - 1860 - 246 pages
...given straight line; it is required to draw Let A be the given point, and BC the B DC through the point A, a straight line parallel to BC. In BC take any point D, and join AD. """ "^ Then at the point A, in the straight line AD, make the angle DAE equal to the angle... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...to CD. (i. 27.) Wherefore, straight lines which are parallel, &c. QKI). PROPOSITION XXXI. PROBLEM. To draw a straight line through a given point parallel to a given stmiyh line. Let A be the given point, and BC the given straight line. It is required to draw, through... | |
 | Euclides - 1862 - 172 pages
...angle AGK is equal to the angle GKD; (ax. 1) and they are alternate angles ; PROP. XXXI. — PROBLEM. To draw a straight line through a given point, parallel to a, given straight line. (Beferences — Prop. i. 23, 27.) Let A be the given point, and BC the given right line. It is required... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...parts, into eight, into sixteen, &c. PROBLEM VII. 302. 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, '""••.... _ AE,... | |
 | Benjamin Greenleaf - Geometry - 1862 - 532 pages
...parts, into eight, into sixteen, &c. PROBLEM VII. 302. Tlirough a given point, to draw a straight t parallel to a given straight line. , Let A be the given point, and A ~ С D the given straight line. From A draw a straight line, „ ""••• AE, to any point, E,... | |
 | Euclides - 1862 - 140 pages
...through a given point, parallel to a given straight line. (References — Prop. I. 23, 27.) Given. — Let A be the given point, and BC the given straight line. Sought. — It is required to draw a straight line through the point A, parallel to BC. Construction.... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...sides is a right angle. 6. Describe a square that shall be equal to a given rectilineal figure. 7. Draw a straight line through a given point parallel to a given straight line. 8. On the same base, and on the same side of it, there cannot be two triangles having their sides which... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...parts, into eight, into sixteen, &c. PROBLEM VII. 302. 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, ""--...„ AE, to any point,... | |
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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... 
