| John Playfair - Geometry - 1855 - 358 pages
...XXXIII. THEOR. The straight lines which join the extremities of two equal and parallel straight tines, **towards the same parts, are also themselves equal...towards the same parts by the straight lines AC, BD;** AC, BD are also equal and parallel. Join BC ; and because AB is parallel to CD, and BC meets them,... | |
| Great Britain. Parliament. House of Commons - Great Britain - 1866 - 858 pages
...triangle from the three angles is greater than half the perimeter of the triangle. 4. The straight lines **which join the extremities of two equal and parallel straight lines towards the same parts, are** themselves also equal and parallel. 5. Along the sides of a parallelogram taken in order, if we measure... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...all the exterior angles are equal to four right angles. PROPOSITION 33. THEOREM. The straight lines **which join the extremities of two equal and parallel...parts, are also themselves equal and parallel, Let AB** and CD be equal and parallel straight lines, and let them be joined towards the same parts by the straight... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...all the exterior angles are equal to four right angles. PROPOSITION 33. THEOREM. , The straight lines **which join the extremities of two equal and parallel...parts, are also themselves equal and parallel. Let AB** and CD be equal and parallel straight lines, and let them be joined towards the same parts by the straight... | |
| Robert Potts - 1868 - 434 pages
...the figure are equal to four right angles, (ax. 3.) PROPOSITION XXXIII. THEOREM. The straight lines **which join the extremities of two equal and parallel...lines AC, BD. Then AC, BD shall be equal and parallel.** D Join BC. Then because AB is parallel to CD, and BC meets them, therefore the angle ABC is equal to... | |
| Euclides - 1871 - 136 pages
...whose angles are together equal to seven right angles ? PROPOSITION XXXIII. THEOREM. The straight lines **which join the extremities of two equal and parallel...parts, are also themselves equal and parallel. Let** the equal and || st. lines AB, CD be joined towards the same parts by the st. lines AC, BD, Then must... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...whose angles are together equal to seven right angles ? PROPOSITION XXXIII. THEOREM. The straight lines **which join the extremities of two equal and parallel...same parts, are also themselves equal and parallel.** oo Let the equal and II st. lines AB, CD be joined towards the same parts by the st. lines AC, BD.... | |
| Henry Major - Student teachers - 1873 - 592 pages
...angles, are equal to twice as many right angles as the figure has sides. XXXIII. — The straight lines **which join the extremities of two equal and parallel...towards the same parts by the straight lines AC, BD** ; AC, BD, are also equal and parallel. Join BC ; and because AB is parallel to CD, and BC meets them,... | |
| Euclides - 1874 - 342 pages
...the figure are equal to four right angles (Ax. 3). PROPOSITION 33. — Theorem. The straight lines **which join the extremities of two equal and parallel...lines AC, BD. Then AC, BD shall be equal and parallel.** C 0 Construction. Join BC. Demonstration. Then, because AB is parallel to CD, and BC meets them, therefore... | |
| Edward Atkins - 1874 - 428 pages
...exterior angles are equal to four right angles (Ax. 3). Proposition 33.— Theorem. T/ie straight lines **which join the extremities of two equal and parallel...parts are also themselves equal and parallel. Let AB** and CD be equal and parallel straight lines joined towards the same parts by the straight lines AC... | |
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