| Robert Simson - Trigonometry - 1827 - 546 pages
...equal to four right angles. PROP. XXXIIL THEOR. The straight lines which join the extremities of IIKO equal and parallel straight lines towards the same...parts, are also themselves equal and parallel. Let AB, CD be equal and parallel AB straight lines, and joined towards the same parts by the straight lines... | |
| 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... | |
| John Playfair - Euclid's Elements - 1832 - 358 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...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 lines... | |
| John Playfair - Euclid's Elements - 1833 - 346 pages
...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...are also themselves equal and parallel. \ Let AB, CD, be equal and parallel straight lines, and joined towards the same parts by the straight lines AC,... | |
| Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...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 pages
...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...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 lines AC,... | |
| 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...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 - 1835 - 336 pages
...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 lines AC,... | |
| 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... | |
| John Playfair - Euclid's Elements - 1837 - 332 pages
...at 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...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 lines AC,... | |
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