| John Playfair - 1833 - 346 sider
...angles ; therefore all the exterior angles are equal to four right angles. PROP. XXXIII. THEOR. / T/ie straight lines which join the extremities of two equal...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... | |
| Thomas Perronet Thompson - 1833 - 168 sider
...And by parity of reasoning, the like may be proved in every other instance. Wherefore, universally, the straight lines which join the extremities of two equal and parallel straight lines, &c. Which was to be demonstrated. PROPOSITION XXXIV bis. ., THEOREM.— Every quadrilateral rectilinear... | |
| Euclid - 1835 - 540 sider
...right angles ; therefore, " all the exterior angks are equal to four right angles" PROP. XXXIII. THEOR. The straight lines which join the extremities of two...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... | |
| 1835 - 684 sider
...quadrilateral are together equal to four right angles. SECTION 4. Parallelograms. PROP. 21. (Eue. i. 33.) The straight lines which join the extremities of two...parallel straight lines towards the same parts, are likewise themselves equal and parallel. Let the straight fc -£ lines AD, В С be equal and parallel,... | |
| John Playfair - 1835 - 336 sider
...polygon in more than two points. PROP. XXVII. THEOR. The straight lines which join the extremities of (wo 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... | |
| 1836 - 488 sider
...All the exterior angles of any rectilineal figure are to. gether equal to four right angles. XXXIII. The straight lines which join the extremities of two...same parts, are also themselves equal and parallel. XXXIV. The opposite sides and angles of a parallelogram are equal to one another, and the diameter... | |
| Andrew Bell - 1837 - 290 sider
...right angles ; therefore all the exterior angles are equal to four right angles. PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities...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... | |
| Euclid, James Thomson - 1837 - 410 sider
...bisection of a right angle, such as the half, the fourth, the eighth, of a righi angle, and so on. D THE straight lines which join the extremities of two...equal and parallel straight lines, towards the same parts,8 are also themselves equal and parallel. Let AB, CO be equal and parallel straight lines, and... | |
| Charles Reiner - 1837 - 254 sider
...straight lines. M.—Now, alter the preceding statement in conformity with this finding. P.—The two straight lines which join the extremities of two equal and parallel straight lines in the same direction, or toward the same parts, are equal and parallel. 'P.—The opposite sides of... | |
| Euclides - 1837 - 112 sider
...be together = 4rt. Zs. PROPOSITION XXXIII. Theorem. The straight lines which join the extremities of equal and parallel straight lines towards the same parts are also themselves (f i> equal and parallel. Steps of the Demonstration. 1. Prove that Z ABC = Z BCD, '2. that (in A s... | |
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