 | Education - 1884 - 708 pages
...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 equal and parallel...same parts, are also themselves equal and parallel. Prop. 33, Bk. I. 3. The complements of the parallelograms, which are about the diameter of any parallelogram,... | |
 | Euclides - 1884 - 214 pages
...exterior angles are equal to four right angles. Ax. 3. PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities of two equal and parallel...same parts, are also themselves equal and parallel. . GIVEN that AB and CD are equal and parallel, and joined towards the same parts by AC and BD ; IT... | |
 | Woolwich roy. military acad - 1884 - 148 pages
...them of the other. Shew also that the two triangles are equal in all respects. |j. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts are themselves equal and parallel. Shew also that the straight lines which join the extremities towards... | |
 | 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... | |
 | F. B. Stevens - Examinations - 1884 - 202 pages
...but one. 1877. (EUCLID.) 1. The straight lines which join the extremities of two equal and pifrallel straight lines towards the same parts, are also themselves equal and parallel. 2. To divide a given straight line into two parts, so that the rectangle contained by the whole and... | |
 | Great Britain. Education Department. Department of Science and Art - 1886 - 642 pages
...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
...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 equal and parallel...same parts, are also themselves equal and parallel. 9. If a straight line !>e divided into two equal parts and also into two unequal parts, the rectangle... | |
 | E. J. Brooksmith - Mathematics - 1889 - 354 pages
...without it. Why is the given straight line described as of unlimited length ? 3. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts are themselves equal and parallel. Prove that a quadrilateral, which has two opposite sides and two opposite... | |
 | Euclid - Geometry - 1890 - 442 pages
...we get (0) CAB + CBA + ACB = ACD + ACB, = two rt. As. Proposition 33. THEOREM — The straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are themselves equal and parallel. Let AB, CD be equal and || st. lines ; AC, BD their joins towards the... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...finding exierio, angles of regular figures use Cor. II.) PROPOSITION 33. THEOREM. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts are themselves equal and parallel. Let AB and CD be equal and parallel st. lines, and let them be joined... | |
| |
THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. 
