| 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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