 | Euclides - 1860 - 288 pages
...angles of a right-angled triangle are together equal to a right angle. PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities of two...same parts, are also themselves equal and parallel. Given AB and CD, two equal and parallel straight lines, joined towards the eame parts by the straight... | |
 | Royal college of surgeons of England - 1860 - 332 pages
...Esq, MA I. GEOMETRY. 1. From a given point to draw a straight line equal to a given straight line. 2. Straight lines which join the extremities of two equal...parallel straight lines towards the same parts are themselves equal and parallel. 3. Every parallelogram having one angle a right angle has all its angles... | |
 | Euclides - 1862 - 140 pages
...Therefore all the exterior angles are equal to four right angles, (ax. 3.) PROPOSITION 33.— THEOREM. The straight lines which join the extremities of two...same parts, are al-so themselves equal 'and parallel. (References— Prop. I. 4, 27, 29.) Hypothesis. — Let AB and CD he equal and parallel straight lines,... | |
 | 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
...with 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...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 - 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...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 - 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...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... | |
 | John Robertson (LL.D., of Upton Park sch.) - Examinations - 1865 - 106 pages
...upon 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...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
...therefore all the exterior angles are equal to four right anglet, (ax. 3.) PROP. XXXIII.— THEOREM. The straight lines which join the extremities of two...same parts, are also themselves equal and parallel. (References— Prop. I. 4, 27, 29.) Let AB, CD, be two equal and parallel straight lines, and joined... | |
 | 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... | |
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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. 
