| Euclides - 1846 - 292 pages
...parallels, and joined towards the same parts by the straight lines BE, CH : But straight B OF o lines **which join the extremities of two equal and parallel straight lines towards the same parts, are** themselves equal and parallel (1. 33) ; therefore EB, CH are both equal and parallel, and EBCH is a... | |
| Euclides - 1847 - 128 pages
...rt. /'. Wherefore, if the sides &c. — QED ' PROP. XXXIII. THEOR. GEN. ENUN. — The straight lines, **which join the extremities of two equal and parallel straight lines towards the same parts, are** themselves also equal and parallel. PAKT. ENUN. — Let AB, CD be = and || st. lines, and let them... | |
| Euclid - 1848 - 52 pages
...same direction, are together equal to four right angles. PROP. XXXIII. THEOREM. The straight lines **which join the extremities of two equal and parallel...same parts, are also themselves equal and parallel.** PROP. XXXIV. THEOREM. The opposite sides and angles of parallelograms are equal to one another, and... | |
| Euclid, Thomas Tate - 1849 - 120 pages
...therefore all the exterior angles are equal to four right angles. PROP. XXXIII. THEOR. The straight lines **which join the extremities of two equal and parallel...and joined towards the same parts by the straight** AB lines AC, BD; AC, BD are also equal and r parallel. \ Join BC ; and because AB is parallel to \---''''... | |
| John Playfair - Euclid's Elements - 1849 - 332 pages
...cannot meet the contour of the polygon in more than two points. PROP. XXXIII. THEOR. The straight lines **which join the extremities of two equal and parallel...themselves equal and parallel. Let AB, CD, be equal and** parallel'straight lines, and joined towards the same parts by the straight lines AC, BD; AC, BD are... | |
| India - 1851 - 590 pages
...of the next theorem. The theorem is that of Euclid, " Straight lines which join the extremities of **equal and parallel straight lines towards the same parts, are also themselves equal and parallel** ;" and the corollary is, " It is also plain that the opposite sides of a parallelogram are equal, for... | |
| India - 1851 - 580 pages
...ot the next theorem. The theorem is that of Euclid, " Straight lines which join the extremities of **equal and parallel straight lines towards the same parts, are also themselves equal and parallel** ;" and the corollary is, " It is also plain that the opposite sides of a parallelogram are equal, for... | |
| London univ - 1852 - 358 pages
...than the other two sides of the triangle, but shall contain a greater angle. 6. The straight lines **which join the extremities of two equal and parallel...same parts, are also themselves equal and parallel.** 7. Show that if from the right angle of a right-angled triangle two straight lines be drawn, one perpendicular... | |
| Euclides - 1852 - 152 pages
...advantageously illustrated in the triangle and the square.] BOOK I. PROP. XXXHI. THEOR. The straight lines **which join the extremities of two equal and parallel...towards the same parts, are also themselves equal** (1.) and (2.) parallel. Let AB, CD be equal and parallel straight lines, and joined towards the same... | |
| Euclides - 1853 - 146 pages
...all the exterior angles are equal to four right angles. PROP. XXXIII. — THEOREM. 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. AB c Join BC; and because AB is parallel to CD, and BC meets them,... | |
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