| Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...exterior angles are equal to four right angles. •t" PROP. XXXIII. THEOR. The straight lines whieh **join the extremities of two equal and parallel straight...towards the same parts by the straight lines AC, BD** ; AC. BD are also equal and parallel. Join BC ; and beeause AB is pa- AB fiillal to CD, and BC mi4ets... | |
| George Lees - 1826 - 266 pages
...to the triangle ADC, the diameter of course bisects it. Therefore, &c. QED Cor. The straight lines **which join the extremities of two equal and parallel...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 - 513 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... | |
| Euclid, Robert Simson - Geometry - 1829 - 516 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...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,... | |
| 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 - 333 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...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... | |
| Thomas Perronet Thompson - Euclid's Elements - 1833 - 150 pages
...right angle, it is a right angle. PROPOSITION XXXIV. THEOREM. — The straight lines which join t>>e **extremities of two equal and parallel straight lines, towards the same parts, are** themselves equal and parallel. Let AB, CD be two equal and parallel straight lines and joined towards... | |
| 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...towards 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,... | |
| Euclid - 1835 - 540 pages
...therefore, " all the exterior angks 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. Join BC ; and because AB is ^ _— parallel to CD, and BC meets... | |
| John Playfair - Euclid's Elements - 1835 - 316 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...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,... | |
| |