| John Playfair - Euclid's Elements - 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 - 518 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 - 518 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 - 722 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 - 528 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... | |
| Euclid, John Playfair - Circle-squaring - 1819 - 348 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 - 372 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 - 266 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 - 513 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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