 | Euclides - 1848 - 52 pages
...successively hi the same direction, are together equal to four right angles. PROP. XXXIII. THEOREM. The straight lines which join the extremities of two...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
...right angles; therefore all the exterior angles are equal to four right angles. PROP. XXXIII. THEOR. The straight lines which join the extremities of two...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
...drawn at pleasure, cannot meet the contour of the polygon in more than two points. PROP. XXXIII. THEOR. The straight lines which join the extremities of two...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 - 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... | |
 | 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... | |
 | London univ - 1852 - 358 pages
...these shall be less than the other two sides of the triangle, but shall contain a greater angle. 6. The straight lines which join the extremities of two...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
...also may be advantageously illustrated in the triangle and the square.] BOOK I. PROP. XXXHI. THEOR. The straight lines which join the extremities of two...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
...therefore all the exterior angles are equal to four right angles. " " \ PROPOSITION XXXIII. THEOR. The straight lines which join the extremities of two...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
...angles ; therefore all the exterior angles are equal to four right angles. PROP. XXXIII. — THEOREM. The straight lines which join the extremities of two...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... | |
 | Euclides - Geometry - 1853 - 334 pages
...triangle is equal to the remaining angle of the other. Which was to be proved. PEOP. XXXIII. THEOE. The straight lines which join the extremities of two...and parallel straight lines towards the same parts shall be also themselves equal and parallel. Let AB, CD be two equal and parallel straight lines, and... | |
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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. 
