 | John Playfair - Euclid's Elements - 1846 - 332 pages
...contour of the polygon 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... | |
 | Great Britain. Admiralty - Geometry - 1846 - 130 pages
...int. /_ s, all the ext. Zs=4rt. /.s. PROP. XXXII. THEOR. 33. iBu. TIie 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 = and || str. lines, joined towards the same parts... | |
 | Great Britain. Admiralty - Geometry - 1846 - 130 pages
....*. all the ext. £_ s= 4 rt. £_ s. PROP. XXXII. THEOR. 33. iKu. The straight lines which join the extremities of two equal and parallel straight lines to-wards the same parts, are also themselves equal and parallel. Let AB, CD, be = and || str. lines, joined towards the same parts... | |
 | Euclides - 1847 - 128 pages
...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 be joined towards... | |
 | Euclides - 1848 - 52 pages
...direction, are together 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... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...exterior angles are 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 parts, are also themselves equal and parallel. Let AB, CD be equal and parallel straight lines, and joined towards... | |
 | 582 pages
...triangle is greater than the interior and opposite on the same straight line. 2. Straight lines which join equal and parallel straight lines towards the same parts, are themselves equal and parallel. 3. The rectangle contained by the sum and difference of two lines, is equal to the difference of their... | |
 | Euclides - 1852 - 152 pages
...illustrated in the 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... | |
 | London univ - 1852 - 358 pages
...two sides of the 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... | |
 | Euclides - Geometry - 1853 - 176 pages
...parallels, and joined towards the same parts by the straight lines be, С h. But straight lines which join equal and parallel straight lines towards the same parts, are themselves equal and parallel (i. 33) ; therefore eb, С h, are both equal and parallel, and eb С h is a parallelogram ; and it... | |
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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. 
