| Euclides - 1884 - 214 pages
...are equal to four right angles. Ax. 3. PROPOSITION XXXIII. THEOREM. The straight lines which join the **extremities of two equal and parallel straight lines towards the same parts, are** also themselves equal and parallel. . GIVEN that AB and CD are equal and parallel, and joined towards... | |
| Education - 1884 - 708 pages
...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 straight lines towards the same parts, are** also themselves equal and parallel. Prop. 33, Bk. I. 3. The complements of the parallelograms, which... | |
| Dalhousie University - 1887 - 206 pages
...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 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 - 354 pages
...other. Shew also that the two triangles are equal in all respects. 3. The straight lines which join the **extremities of two equal and parallel straight lines...the same parts are themselves equal and parallel.** Shew also that the straight lines which join the extremities towards opposite parts, bisect each other.... | |
| Euclid - Geometry - 1890 - 442 pages
...CBA + ACB = ACD + ACB, = two rt. As. Proposition 33. THEOREM — The straight lines which join the **extremities of two equal and parallel straight lines,...parts, are themselves equal and parallel. Let AB, CD be** equal and || st. lines ; AC, BD their joins towards the same parts. Join BC. Then in A8 ABC, DCS, we... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...angles of regular figures use Cor. II.) PROPOSITION 33. THEOREM. The straight lines which join the **extremities of two equal and parallel straight lines...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... | |
| Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...angles of every triangle are together equal to two right angles. 33. The straight lines which join the **extremities of two equal and parallel straight lines...the same parts are themselves equal and parallel.** 34. The opposite sides and angles of a parallelogram are equal to one another, and the diameter bisects... | |
| Education - 1891 - 442 pages
...each of the remainder to gain 10 per cent on the whole 1 Geometry. 1. The straight lines joining the **extremities of two equal and parallel straight lines...the same parts, are themselves equal and parallel.** State the converse of this proposition. 2. Describe a parallelogram equal to a given rectilineal figure,... | |
| James Andrew Blaikie, William Thomson - Geometry - 1891 - 154 pages
...rectilineal figure are together equal to four right angles. 33. The straight lines which join the ends **of two equal and parallel straight lines; towards the same parts are themselves equal and parallel.** 34. The opposite sides and opposite angles of a parallelogram are equal, and either diagonal bisects... | |
| Edward Travers Dixon - Geometry - 1891 - 180 pages
...Euclid, it is usual to commence by proving Euclid's proposition that 'the straight lines which join **equal and parallel straight lines towards the same parts are themselves equal and parallel,'** by it ; the above equation being in fact merely Euclid's proposition in vector language. It will be... | |
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