 | Euclid, Robert Simson - Geometry - 1829 - 548 pages
...equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. AB Let AB, CD be equal and parallel straight lines, and...lines AC, BD ; AC, BD are also equal and parallel. Join BC; and because AB is parallel to CD ; and BC meets them, the alternate angles ABC, BCD are equal... | |
 | Pierce Morton - Geometry - 1830 - 584 pages
...angles. SECTIOX 4. Parallelograms. PROP. 21. (Eue. i. 33.) The straight lines which join the extremitie» of two equal and parallel straight lines towards the same parts, are likewise themselves equal and parallel. Let the straight lines AD, 13 С be equal -and parallel, and... | |
 | Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...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... | |
 | Euclides - 1834 - 518 pages
...angles ; therefore all the exterior angles are equal to four right angles. PROPOSITION XXXIII. Let An, CD be equal and parallel straight lines, and joined...the same parts by the straight lines AC, BD : AC, BD shall he equal and parallel. Join BC : and because AB is parallel to CD, and BC meets them, the alternate... | |
 | Euclid - 1835 - 540 pages
...angles ; therefore, " all the exterior angks are equal to four right angles" PROP. XXXIII. THEOR. The straight lines which join the extremities of two equal...lines AC, BD; AC, BD are also equal and parallel. Join BC ; and because AB is ^ _— parallel to CD, and BC meets CJ) them, the alternate angles ABC,... | |
 | Robert Simson - Trigonometry - 1835 - 544 pages
...angles ; therefore, " all the exterior angles are equal to four right angles." PROP. XXXIII. THEOR. The straight lines which join the extremities of two equal...lines AC, BD; AC, BD are also equal and parallel. Join BC ; and because AB is parallel to CD, and BC meets CJ) them, the alternate angles ABC, BCD are... | |
 | Mathematics - 1835 - 684 pages
...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 equal...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,... | |
 | Mathematics - 1836 - 488 pages
...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 equal...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 - Euclid's Elements - 1837 - 332 pages
...pleasure, cannot meet the contour of the polygon in more than two points. PROP. XXXIII. THEOR. / The straight lines which join the extremities of two equal...lines AC, BD; AC, BD are also equal and parallel. Join BC ; and because AB is parallel to CD, and BC meets them, the alternate angles ABC, BCD are equal... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...therefore all the exterior angles are equal to four right angles. PROPOSITION XXXIII. THEOREM. The 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... | |
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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. 
