 | John Playfair - Mathematics - 1806 - 320 pages
...Therefore, the opposite angles, &c. Q. E, D. ^ PROP. XXIII. THEOR. Book in. UPON the same straight line, and upon the same side of it, there cannot be two...segments of circles, not coinciding with each other. If it be possible, let the two similar segments of circles, ACB, ADB be upon the same side of the same... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...angles, Sec. QE I). *— y~* PROP. XXIII. THEOR. UPON the same straight line, and upon the same See N. side of it, there cannot be two similar segments of circles not coinciding with one another. If it be possible, let the two similar segments of circles, viz. ACB, ADB, be upon the... | |
 | Euclid - Geometry - 1810 - 554 pages
...opposite angles, &c. QED PROP. XXIII. THEOR. UPON the same straight line, and upon the same See Noteside of it, there cannot be two similar segments of circles, not coinciding with one another. If it be possible, let the two similar segments of circles, viz. ACB, ABD be upon the... | |
 | John Mason Good - 1813 - 714 pages
...a circle, are together equal to two right angles. Prop. XXIII. Theor. Upon the same straight line, and upon the same side of it, there cannot be two similar segments of circles, not coinciding with one another. Prop. XXIV. Tlieor. Similar segments of circles Upon equal straight lines, are equal to... | |
 | John Playfair - 1819 - 354 pages
...right angles. Therefore the opposite angles, &c. Q, ED PROP. XXIII. THEOR. Upon the same straight line, and upon the same side of it, there cannot be two similar segments of circles, not coinciding with one another. If it be possible, let the two similar segments of circles, vie. ACB, ADB, be upon the... | |
 | Rev. John Allen - Astronomy - 1822 - 516 pages
...may be proved, to be equal to two right angles. PROP. XXIII. THEOR. On the same right line, and on the same side of .it, there cannot be two similar...circles, not coinciding with each other. . For, if possible, let two similar segments of circles, as ACB, ADB be on the same right line AB, and on the... | |
 | Rev. John Allen - Astronomy - 1822 - 508 pages
...right angles. PROP. XXIII. THEOR. On the same right line, and on the same side of it, there cannot lie two similar segments of circles, not coinciding with each other. For, if possible, let two similar seg- ^ ments of circles, as At'B, ADB be on the same right line AB, and on... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...angles. Therefore, the opposite angles, &c. QED Propotition XXIll. Theorem. Upon the same straight line, and upon the same side of it, there cannot be two similar segments of circles, not coinciding with one another. If it be possible, let the two similar segments of circles, viz. ACB, ADB, be upon the... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...angles. Therefore, the ppposite angles, &c. QED PROP. XXIII. THEOR. (See N. Upon the same straight line, and upon the same side of it, there cannot be two similar segments of circles, not coinciding 'with one another. If it be possible, upon the same straight line AB, and upon the same side of it, let there... | |
 | Euclid, Robert Simson - Geometry - 1829 - 548 pages
...right angles. Therefore the opposite angles, &c. QED PROP. XXIII. THEOR. UPON the same straight line, and upon the same side of it, there cannot be two similar segments of circles, not coinciding with one another.* Ifitbe possible,letthe two similarsegments of circles, viz. ACB, ABD be upon the same... | |
| |
Upon the same straight line, and upon the same side of it, there cannot be two similar segments of circles, not coinciding with one another. If it be possible. let the two similar segments of circles, viz. ACB' ADB be upon the same side of the same straight... 
