 | Euclides - 1862 - 172 pages
...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 towards the same parts by the straight lines AC, BD. Then AC, BI>, shall be equal and parallel. CONSTRUCTION Join the opposite points 6 and C. DEMONSTRATION... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...the square on the line between the points of section, is equal to the square on half the line. 9. The straight lines which join the extremities of two equal...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
...exterior angles of the figure are equal to four right angles, (ax. 3.) PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities of two equal...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
...exterior angles of the figure are equal to four right angles, (ax. 3.) PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities of two equal...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... | |
 | Euclides - 1865 - 402 pages
...the sides successively in the same direction), are together equal to four right angles. Prop. 33. The straight lines which join the extremities of two equal...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... | |
 | John Robertson (LL.D., of Upton Park sch.) - Examinations - 1865 - 106 pages
...one side of it, are either two right angles or are together equal to two right angles. [KC] 39. The straight lines which join the extremities of two equal...same parts, are also themselves equal and parallel. [KC] EXAMINATION PAPER. MONDAY. Divinity. 84. What is contained in the book of Nehemiah ? [0.] 85.... | |
 | Robert Potts - 1865 - 528 pages
...exterior angles of the figure are equal to four right angles. (ax. 3.) PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities of two equal and parallel straight lines towards tlie same parts, are also themselves equal and parallel. Let AB, CD be equal and parallel straight... | |
 | Great Britain. Parliament. House of Commons - Great Britain - 1866 - 862 pages
...within a triangle from the three angles is greater than half the perimeter of the triangle. 4. The straight lines which join the extremities of two equal...parallel straight lines towards the same parts, are themselves also equal and parallel. 5. Along the sides of a parallelogram taken in order, if we measure... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...angles. Therefore all the exterior angles are equal to four right angles. PROPOSITION 33. THEOREM. The straight lines which join the extremities of two equal...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... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...angles. Therefore all the exterior angles are equal to four right angles. PROPOSITION 33. THEOREM. , The straight lines which join the extremities of two equal...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. 
