 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...in more than two points. PROP. XXXIII. THEOR. The straight lines which join the extremities of two equal and parallel straight lines, towards the same...parts, are also themselves equal and parallel. Let AB, CD.be equal and parallel straight lines, and joined towards the same parts by the straight lines AC,... | |
 | Euclides - 1848 - 52 pages
...equal to four right angles. PROP. 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. PROP. XXXIV. THEOREM. The opposite sides and angles of parallelograms are equal to one another, and... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...equal to four right angles. PROP. XXXIII. THEOR. The straight lines which join the extremities of two equal and parallel straight lines, towards the same...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 \---''''... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...will be a parallelogram. V- ^ Let ABDC be a quadrilateral, having the AB Draw the diagonal BC: then, because AB is parallel to CD, and BC meets them, the alternate angles ABC, BCD are equal (Prop. XXIII). Also, because AB is equal to CD, and BC is common to the two triangles ABC, BCD, the... | |
 | 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
...triangle, but shall contain a greater angle. 6. The straight lines which join the extremities of two equal and parallel straight lines towards the 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
...triangle and the square.] BOOK I. PROP. XXXHI. THEOR. The straight lines which join the extremities of two equal and parallel straight lines, 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... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...right angles. " " \ PROPOSITION XXXIII. THEOR. The straight lines which join the extremities of two equal and parallel straight lines towards the same...also equal and parallel. Join BC ; and because AB is par.illel to CD, and BC meets them, the alternate angles ABC, BCD are equal (29. i.). And because AB... | |
 | Euclides - 1853 - 146 pages
...four right angles. PROP. XXXIII. — THEOREM. The straight lines which join the extremities of two equal and parallel straight lines, towards the same...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, (I. 29.) 1. The alternate angles... | |
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THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. Let AB, CD be equal and parallel straight lines, and joined towards the same parts by the straight... 
