 | Stewart W. and co - 1884 - 272 pages
...with four right angles, are equal to twice as many right angles as the figure has sides. XXXIII. — The straight lines which join the extremities of two...parallel straight lines, towards the same parts, are also themselves equal and parallel. Let AB, CD, be equal and parallel straight lines, and joined towards... | |
 | 1884 - 266 pages
...three angles of any triangle are equal to two right angles. 3. Trisect a given finite straight line. 4. The straight lines which join the extremities of two...parallel straight lines towards the same parts, are also themselves equal and parallel. Show how to inscribe a square in a given right.angled isosceles... | |
 | Education - 1884 - 708 pages
...sides. And the L ABC = the given angle, and AB is a given side. Л BCA is the triangle required. QEF 2. The straight lines which join the extremities of two...parallel straight lines towards the same parts, are also themselves equal and parallel. Prop. 33, Bk. I. 3. The complements of the parallelograms, which... | |
 | Euclides - 1884 - 434 pages
...and joining it to the angular points. PROPOSITION 33. THEOREM. The straight lines which join the ends of two equal and parallel straight lines towards the same parts, are themselves equal and parallel. A. _T* CD Let AB and CD be equal and parallel : it is required to prove AC and BD equal and parallel.... | |
 | F. B. Stevens - Examinations - 1884 - 202 pages
...perpendicular to a given straight line of an unlimited length, from a given point without it. • 2. The straight lines which join the extremities of two equal and parallel straight Hues towards the same parts, are also themselves equal and parallel. 3. If a straight line be divided... | |
 | United States. Congress. Senate - United States - 1880 - 1304 pages
....0007, 3.5, and 200,000. SENIOR PUPIL TEACHERS— SIXTH YEAR. ECCLID. (Time allowed, 3 hours.) !• The straight lines which join the extremities of two equal and parallel straight **«9 towards the same parts are also themselves equal and parallel. 5. To divide a given straight... | |
 | Great Britain. Education Department. Department of Science and Art - 1886 - 640 pages
...equal to AC, and join DC ; show that the angle DCB is greater than a right angle. (10.) 9. Show that the straight lines, which join the extremities of two equal and parallel straight lines, towards the samo parts, are themselves equal and parallel. In the triangles ABC, DEP, the side AB ia equal and... | |
 | Dalhousie University - 1887 - 206 pages
...greater base, shall be greater than the angle contained by the sides equal to them, of the other. 8. The straight lines which join the extremities of two...parallel straight lines towards the same parts, are also themselves equal and parallel. 9. If a straight line !>e divided into two equal parts and also... | |
 | E. J. Brooksmith - Mathematics - 1889 - 356 pages
...two sides equal to them of the other. Shew also that the two triangles are equal in all respects. 3. The straight lines which join the extremities of two...the same parts are themselves equal and parallel. Shew also that the straight lines which join the extremities towards opposite parts, bisect each other.... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...of an exterior angle of such a figure? (For finding exierio, angles of regular figures use Cor. II.) PROPOSITION 33. THEOREM. The straight lines which...same parts are themselves equal and parallel. Let AB and CD be equal and parallel st. lines, and let them be joined towards the same parts by the st. lines... | |
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THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. 
