| Euclides - 1848 - 52 pagina’s
...lines which are parallel to the same straight line are parallel to each other. PROP. XXXI. PROBLEM. To draw a straight line through a given point parallel to a given straight line. PROP. XXXII. THEOREM. If a side of any triangle be produced, the exterior angle is equal to the two... | |
| Euclid, Thomas Tate - 1849 - 120 pagina’s
...AB. Which was required to be done. PROP. II. PROS. From a given point to dram a straight line equal to a given straight line. Let A be the given point,...BC the given straight line; it is required to draw from the point A a straight line equal to BC. From the point A to B draw (Post. 1.) the straight line... | |
| John Playfair - 1849 - 332 pagina’s
...equal to GKD ; and they are alter- VK nate angles ; therefore AB is parallel C \ Ti (27. 1.) to CD. \ PROP. XXXI. PROB. To draw a straight line through...point parallel to a given straight line. Let A be the givqp point, and BC the given straight line, it is required to draw a straight line through the point... | |
| Charles Davies - 1849 - 372 pagina’s
...line CD will divide the angle ACB into two equal parts. PROBLEM VI. 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 the point A as a centre, with a radius greater than the shortest distance from A to BC,... | |
| Almon Ticknor - 1849 - 156 pagina’s
...raised and let fall by a square, or other suitable instrument. 11. 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 the point A, as a centre, with a radius greater than the shortest distance from A to BC,... | |
| Great Britain. Committee on Education - 1850 - 790 pagina’s
...Section 2. 1. Show that any two angles of a triangle are together less than two right angles. •2. Draw a straight line through a given point parallel to a given straight line. 3. Show that in any risht-angled triangle, the square which is described upon the side subtending the... | |
| 1867 - 336 pagina’s
...the other equal sides shall be parallel to one another, or be inclined at equal angles. 2. Shew how to draw a straight line through a given point, parallel to a given straight line. Determine the locus of the vertices of all equal triangles ou the same base and on the same lide of... | |
| Adrien Marie Legendre - 1852 - 436 pagina’s
...four equal parts, into eight, into sixteen, and so on. PEOBLEM VI. 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 the point A as a centre, | with a radius greater than the shortest distance from A to .5(7,... | |
| Royal Military Academy, Woolwich - 1853 - 400 pagina’s
...therefore AB is parallel (27. i.) to CD. Wherefore, straight lines, etc. QED PROPOSITION XXXI. PROS. To draw a straight line through a given point parallel...line through the point A, parallel to the straight line BC. "7 In BC take any point D, and join AD ; and at / the point A, in the straight line AD, make... | |
| Euclides - 1853 - 334 pagina’s
...another: therefore AB is parallel (i. 27) to CD. Which was to be proved. /KH A. r / 0 D PEOP. XXXI. PEOB. To draw a straight line through, a given point parallel...BC the given straight line. It is required to draw through A a straight line parallel to BC. In BC take any point D ; EA and join AD. At the point 7 A... | |
| |