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 the straight hue BC. Observational Geometry - Page 49by William Taylor Campbell - 1899 - 240 pagesFull view - About this book
| 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... | |
| Royal college of surgeons of England - 1860 - 336 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... | |
| 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... | |
| University of Oxford - Education, Higher - 1863 - 328 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... | |
| Euclides - 1864 - 448 pages
...parallel to CD. (I. 27.) Wherefore, straight lines which are parallel, &c. QED 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, through the point... | |
| Euclides - 1865 - 402 pages
...Straight lines which are parallel to the same straight line, are parallel to each other. Prop. 31. To draw a straight line through a given point parallel to a given straight line. Prop. 32. If a side of any triangle be produced, the exterior angle is equal to the two interior and... | |
| John Playfair - Geometry - 1855 - 360 pages
...they are alternate angles ; therefore AB is parallel £J ~"\ B (27. 1.) to CD. \ PROP. XXXI. PROB. To draw a straight line through a given point parallel to a gtven straight line. Let A be the given point, and BC the given straight line, h is required lo draw... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...therefore AB is parallel to CD. [I. 27. Wherefore, straight lines &c. QED PROPOSITION 31. 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... | |
| 1868 - 344 pages
...other sides, aud show that the perimeter of the parallelogram so formed is a constant quantity. 3. Draw a straight line through a given point parallel to a given straight line. SECTION IV. 1. The opposite sides and angles of a parallelogram are equal, and the diagonal bisects... | |
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