 | John Playfair - Euclid's Elements - 1836 - 488 pages
...angles ; therefofl^all the exterior angles are equal to four right angles. jJji PROP. XXXIII. THEOR. The straight lines which join the extremities of two...joined towards the same parts by the straight lines of_ eD as AC, BD; AC, BD are al-A, _ B Book I. so equal and parallel. Join BC, and because AB is parallel... | |
 | Mathematics - 1836 - 488 pages
...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 - Euclid's Elements - 1837 - 290 pages
...angles ; therefore all the exterior angles are equal to four right angles. PROPOSITION XXXIII. THEOREM. 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... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...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 - Geometry - 1837 - 254 pages
...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 - Euclid's Elements - 1837 - 112 pages
...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... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...right angles ; therefore all the exterior angles are equal to four right angles. PROP. XXXIII. THEOR. THE straight lines which join the extremities of two...lines AC, BD ; AC, BD are also equal and parallel. i Join BC ; and because AB is parallel to CD ; and BC meets them, the alternate angles ABC, BCD are... | |
 | Euclides - 1838 - 264 pages
...right angles; therefore all the exterior angles are equal to four ri^ht angles. 0 PROP. XXXIII. THEOR. The straight lines which join the extremities of two...parts, are also themselves equal and parallel. Let AH, CD be equal and parallel A t, straight lines, and joined towards the same parts by the straight... | |
 | Euclides - Geometry - 1841 - 378 pages
...right angles; therefore all the exterior angles are equal to four right angles. PROP. XXXIII. THEOR. The straight lines which join the extremities of two...the same parts by the straight lines AC, BD; AC, BD shall be equal and parallel. c * Join BC; and because AB is parallel to CD, and BC meets them, the... | |
 | Euclides - 1842 - 316 pages
...angles together with twice as many right angles as there are re-entering angles. PROP. XXXIII. THEOR. THE straight lines which join the extremities of two...AC, BD ; AC, BD are also equal and parallel. Join в,c ; and because AB is parallel to CD, and вc meets them, the alternate angles ABC, BCD are equal... | |
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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. 
