| 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... | |
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