 | Charles Davies, William Guy Peck - Mathematics - 1855 - 628 pages
...direction. The shortest distance is always found in the direction perpendicular to the parallels. To irme л straight line through a given point parallel to a given straight line. Let A be the given point, and В ~, _.--\ С ПС the given i ,.---'' line. From the \ ^,--'' point A. as а Л centre, with a radius... | |
 | Charles Davies, William Guy Peck - Electronic book - 1855 - 592 pages
...perpendicular to the parallels. 416 CYCLOPEDIA OF MATHEMATICAL SCIENCE. 417 To draw a straight lute through a given point parallel to a given straight line. Let A be the given point, and B~ ~-\ С В С the given une. From the point A, as а centre, with a radius greater than the shortest... | |
 | Euclides - 1855 - 270 pages
...each of its sides double the base. PROP. II. PROBLEM. From a given point to draw a straight line equal to a given straight line. Let A be the given point, and B С the given straight line. It is required to draw from the point A a straight line equal to B С.... | |
 | Great Britain. Parliament. House of Commons - Bills, Legislative - 1859 - 140 pages
...terms, viz. : — A jriom, Postulate, Problem, Theorem ; also the terms Lin<>, Angle, and Surface. 2. To draw a straight line through a given point parallel to a given straight line. — Euclid I., 31. 3. The interior angles of a polygon are equal to twice as many right angles, diminished... | |
 | Euclides - 1860 - 288 pages
...1), and they are alternate 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... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...; therefore AB is parallel 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... | |
 | 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... | |
 | Euclides - 1862 - 172 pages
...therefore also the 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... | |
 | Euclides - 1862 - 140 pages
...the angle AGK is equal to the angle GKD (ax. 1), and they are alternate angles. PROPOSITION 31.— PROBLEM. To draw a straight line 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.... | |
 | 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,... | |
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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... 
