| John Playfair - Mathematics - 1806 - 320 pages
...exterior angles are equal to four right angles. PROP. XXXIII. THEOR. THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. A. Let AB, CD be equal and parallel straight lines, and joined... | |
| Robert Simson - Trigonometry - 1806 - 546 pages
...four right angles. B •. \ a 29. 1. >>4. 1. PROP. XXXIII. THEOR. THE straight lines which join the extremities of two 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... | |
| Euclid - Geometry - 1810 - 554 pages
...parallels, anil joined towards the same parts by the straight lines BE, CH : but straight lines which join equal and parallel straight lines towards the same parts, are themselves equal and parallelb; therefore EB, CH are both equal and pa-b33 1. rallel, and EBCH is a parallelogram ; and... | |
| John Mason Good - 1813 - 714 pages
...every triangle are equal to tiro right angles. Prop. XXXIII. Theor. The straight line» which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. Prop. XXXIV. Theor. The opposite sides and angles of parallelograms... | |
| Euclides - 1816 - 588 pages
...exterior angles are equal to four right angles. PROP. XXXIII. THEOR. THE straight lines which join the extremities of two 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 join- A... | |
| John Playfair - Circle-squaring - 1819 - 350 pages
...exterior angles are equal to four right angles. PROP. XXXITI. THEOR. The straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. B Let AB, CD, be equal and parallel straight lines, ard joined... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...angles are equal to four right angles. Propontwn XXXIII. Theorem. The straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. Let AB, CD be equal and parallel л _ в. straight lines, and joined... | |
| George Lees - 1826 - 276 pages
...triangle ADC, the diameter of course bisects it. Therefore, &c. QED Cor. The straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. PROP. XV. THEOREM. Parallelograms upon the same base, and between... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...towards the same parts by the straight lines BE, CH : but straight lines which join the extremities of equal and parallel straight lines towards the same parts are themselves* equal and parallel; therefore EB, HC, are both equal and parallel ; and therefore EBCH is af parallelogram; and it is 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... | |
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