 | Elias Loomis - Conic sections - 1860 - 246 pages
...be a parallelogram. \^-— -^ 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 an gles ABC, BCD are equal (Prop. XXIII). Also, because AB is equal to CD, and BC is common to the... | |
 | Euclides - 1862 - 140 pages
...figure shall be equal to one another. 2. And the diagonal BC shall bisect it. Demonstration. — 1. Because AB is parallel to CD, and BC meets them, the alternate angles ABC, BCD, are equal to one another. (1. 29.) 2. Because AC is parallel to BD, and BC meets them, the alternate angles ACB,... | |
 | Euclides - 1862 - 172 pages
...right angles, (ax. 3.) 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. (References— Prop. i. 4, 27, 29.) Let A I"., CD, be two equal and parallel straight lines, and joined... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...section, is equal to the square on half the line. 9. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts, are also themselves equal and parallel. 10. Parallelograms on the same base, and between the same parallels, are equal to one another. V. Algebra.... | |
 | Euclides - 1864 - 262 pages
...angles, (ax. 3.) PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities of two equal and parallel Straight lines towards the same...towards the same parts by the straight lines AC, BD. Then AC, BD shall be equal and parallel. AB Join BC. Then because AB is parallel to CD, and .BCmeets... | |
 | Euclides - 1864 - 448 pages
...angles, (ax. 3.) PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities of two equal and parallel straight lines towards the same...towards the same parts by the straight lines AC, BD. Then AC, BD shall be equal and parallel. AB Join BC. Then because AB is parallel to CD, and BC meets... | |
 | Robert Potts - 1865 - 528 pages
...The straight lines which join the extremities of two equal and parallel straight lines towards tlie same parts, are also themselves equal and parallel....towards the same parts by the straight lines AC, BD. Then AC, BD shall be equal and parallel. Join BC. Then because AB is parallel to CD, and BC meets them,... | |
 | John Robertson (LL.D., of Upton Park sch.) - Examinations - 1865 - 106 pages
...are together equal to two right angles. [KC] 39. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts, are also themselves equal and parallel. [KC] EXAMINATION PAPER. MONDAY. Divinity. 84. What is contained in the book of Nehemiah ? [0.] 85.... | |
 | Euclides - 1865 - 402 pages
...together equal to four right angles. Prop. 33. 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. 34. The opposite sides and angles of a parallelogram are equal to one another, and the diameter... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...to four right angles. PROPOSITION 33. 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, Let AB and CD be equal and parallel straight lines, and let them be joined towards the same parts by the straight... | |
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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... 
