 | 1851 - 580 sider
...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... | |
 | 1851 - 590 sider
...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 sider
...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 straight...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 sider
...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 straight...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 - 1853 - 400 sider
...exterior angles are equal to four right angles. " " \ PROPOSITION XXXIII. THEOR. The straight lines which join the extremities of two equal and parallel straight...AC, BD are 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.).... | |
 | Euclides - 1853 - 146 sider
...exterior angles are equal to four right angles. PROP. XXXIII. — THEOREM. The straight lines which join the extremities of two equal and parallel 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, (I. 29.) 1. The alternate angles... | |
 | Euclides - 1853 - 176 sider
...parallel straight lines towards the sa/те parts are also tíiemsetves equal and parallel. LET ab, Сd be equal and parallel straight lines, and joined towards the same parts by the straight lines aС, bd; aС, bd are also equal and parallel. Join b 0 ; a,) id because ab is parallel to С d, an(lb... | |
 | Euclides - 1853 - 334 sider
...remaining angle of the other. Which was to be proved. PEOP. XXXIII. THEOE. The straight lines which join the extremities of two equal 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... | |
 | Euclides - 1855 - 270 sider
...of meeting, are together equal to four right angles. PROP. XXXIII. THEOREM. The straight lines which join the extremities of two equal and parallel straight...parts, are also themselves equal and parallel. Let the straight lines AС, BD join the two equal and parallel straight lines AB, С D towards the same... | |
 | Robert Potts - 1855 - 1050 sider
...a parallelogram of which, two sides are parallel to two sides of ABCD. 3. The straight lines which join the extremities of two equal and parallel straight...same parts, are also themselves equal and parallel. ferences in A', S 1 , C'. Shew that the sides of triangle A'SC' pass through the other points of intersection... | |
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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... 
