| 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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