 | John Playfair - Euclid's Elements - 1847 - 340 pages
...yK nate angles ; tl (27. 1.) to CD. PROP. XXXI. PROS. nate angles ; therefore AB is parallel C \ T) To draw a straight line through a given point parallel...BC the given straight line, it is required to draw a straight line through the point A, parallel to the straight line BCIn BC take any point D, and join... | |
 | Euclides - 1847 - 128 pages
...prove the Theorem, when it is placed either above AB or below CD. PROP. XXXI. THEOR. GEN. ENUN. — To draw a straight line through a given point parallel to a given straight line. PART. ENUN. — Let A be the gn. pt., and BC the gn. st. line. Then it is required to draw through... | |
 | Euclides - 1848 - 52 pages
...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 pages
...angles; therefore AB is parallel (i. 27.) to CD. "Wherefore straight lines, &c. QED PROP. XXXI. PROB. To draw a straight line through a given point parallel...BC the given straight line ; it is required to draw a straight line A through the point A, parallel to the E 7 F straight line BC. AD ; and at the point... | |
 | John Playfair - Euclid's Elements - 1849 - 332 pages
...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 a given 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... | |
 | Almon Ticknor - Measurement - 1849 - 156 pages
...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,... | |
 | Charles Davies - Trigonometry - 1849 - 372 pages
...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,... | |
 | Great Britain. Committee on Education - School buildings - 1850 - 790 pages
...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 pages
...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... | |
 | Euclides - 1852 - 152 pages
...therefore AB is parallel b to CD. "Wherefore straight lines, &c. QED ,F D BOOK I. PROP. XXXI. PROB. To draw a straight line through a given point parallel...BC the given straight line; it is required to draw a straight line through the point A, parallel to the straight ,. -n/~ij? 4 E line BC. 7 In BC take... | |
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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... 
