 | Sandhurst roy. military coll - 1859 - 672 pages
...numerator by 3, and which is equal to ^ when 2 is added to the denominator. EUCLID. 1. The straight lines which join the extremities of two equal and parallel...same parts are also themselves equal and parallel. 2. If a straight line be bisected and produced to any point, the rectangle contained by the whole line... | |
 | Euclides - 1860 - 288 pages
...right-angled triangle are together equal to a right angle. PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities of two equal and parallel...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 - 336 pages
...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 and 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 - 172 pages
...exterior angles are equal to four right angles, (ax. 3.) PROP. XXXIII.— THEOREM. The straight lines which join the extremities of two equal and parallel...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 - 328 pages
...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 and parallel...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
...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...lines AC, BD. Then AC, BD shall be equal and parallel. AB Join BC. Then because AB is parallel to CD, and BC meets them, therefore the angle ABC is equal... | |
 | Euclides - 1864 - 262 pages
...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...lines AC, BD. Then AC, BD shall be equal and parallel. AB Join BC. Then because AB is parallel to CD, and .BCmeets them, therefore the angle ABC is equal... | |
 | Euclides - 1865 - 402 pages
...successively in the same direction), are together equal to four right angles. Prop. 33. The straight lines which join the extremities of two equal and parallel...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
...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 and parallel...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
...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. 
