| Robert Simson - Trigonometry - 1806 - 546 pages
...the exterior angles are equal to four right angles. B •. \ a 29. 1. >>4. 1. PROP. XXXIII. THEOR. THE straight lines which join the extremities of two...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... | |
| John Playfair - Mathematics - 1806 - 320 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...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... | |
| 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
...interior angles of 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
...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...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
...right angles ; therefore all the exterior angles are equal to four right angles. PROP. XXXITI. THEOR. The straight lines which join the extremities of two...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
...right angles ; therefore all the exterior angles are equal to four right angles. Propontwn XXXIII. Theorem. The straight lines which join the extremities...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 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...parallel straight lines, towards the same parts, are also themselves equal and parallel. PROP. XV. THEOREM. Parallelograms upon the same base, and between... | |
| 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 lines, towards the same parts, are also themselves equal and parallel. Let AB, CD, be equal and parallel straight lines, and joined towards... | |
| 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*... | |
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