| Mathematics - 1835 - 684 pages
...together equal to four right angles. SECTION 4. Parallelograms. PROP. 21. (Eue. i. 33.) The straight lines **which join the extremities of two equal and 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 - Euclid's Elements - 1836 - 488 pages
...therefofl^all the exterior angles are equal to four right angles. jJji PROP. XXXIII. THEOR. The straight lines **which join the extremities of two equal and parallel...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 - 472 pages
...angles of any rectilineal figure are to. gether equal to four right angles. XXXIII. The straight lines **which join the extremities of two equal and parallel...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... | |
| John Playfair - Geometry - 1837 - 332 pages
...meet the contour of the polygon in more than two points. PROP. XXXIII. THEOR. / The straight lines **which join the extremities of two equal and parallel...towards the same parts by the straight lines AC, BD;** AC, BD are also equal and parallel. Join BC ; and because AB is parallel to CD, and BC meets them,... | |
| Andrew Bell - Euclid's Elements - 1837 - 240 pages
...the exterior angles are equal to four right angles. PROPOSITION XXXIII. THEOREM. The straight lines **which join the extremities of two equal and parallel...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 - Geometry - 1837 - 410 pages
...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... | |
| 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
...therefore all the exterior angles are equal to four right angles. PROP. XXXIII. THEOR. THE straight lines **which join the extremities of two equal and parallel...towards the same parts by the straight lines AC, BD** ; AC, BD are also equal and parallel. i Join BC ; and because AB is parallel to CD ; and BC meets them,... | |
| Euclides - 1838 - 264 pages
...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 equal and parallel...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 - 1841 - 378 pages
...therefore all the exterior angles are equal to four right angles. PROP. XXXIII. THEOR. The straight lines **which join the extremities of two equal and parallel...towards 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,... | |
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