 | George Lees - 1826 - 276 pages
...triangle ABC is equal to the triangle ADC, the diameter of course bisects it. Therefore, &c. QED Cor. The straight lines which join the extremities of two...same parts, are also themselves equal and parallel. PROP. XV. THEOREM. Parallelograms upon the same base, and between the same parallels, are equivalent.... | |
 | 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...equal and parallel. Let AB, CD be equal and parallel AB straight lines, and joined towards the same parts by the straight lines AC, BD : AC, BD shall be... | |
 | 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...lines AC, BD ; AC, BD are also equal and parallel. JoinBC; and because AB is pa- ^ jj rallel to CD, and BC meets them, the alternate angles ABC, BCD are... | |
 | 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... | |
 | 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... | |
 | 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...BC ; and because AB is parallel to CD, and BC meets CJ) them, the alternate angles ABC, BCD are equal;* and be- a 29. I. cause AB is equal to CD, and BC... | |
 | 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...also equal and parallel. Join BC ; and because AB is ^ _— parallel to CD, and BC meets CJ) them, the alternate angles ABC, BCD are equal ; a and be- 0... | |
 | 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,... | |
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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. 
