 | John Playfair - 1806 - 320 pagina’s
...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 similar 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 - 1806 - 546 pagina’s
...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 - 1810 - 554 pagina’s
...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 pagina’s
...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 - 350 pagina’s
...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. If it be possible, let the two similar segments of circles, vie. ACB, ADB, be upon the... | |
 | Euclides - 1821 - 294 pagina’s
...absurd. C'or. Hence every equiangular triangle is equilateral ; vide, Elrington. PROP. 7. THEOR. i On the same right line and on the same side of it there cannot be two triangles formed whose conterminous sides are equal. If it be possible that there can, 1st, let the... | |
 | Peter Nicholson - 1825 - 1046 pagina’s
...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 - 1827 - 546 pagina’s
...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 - 1829 - 548 pagina’s
...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... | |
 | Euclides - 1833 - 304 pagina’s
...whole, which is absurd. Cor. Hence every equiangular triangle is equilateral ; vide Elrington. PROP. 7, THEOR. On the same right line and on the same side of it, there cannot be two triangles formed whose conterminous sides are equal. If it be possible that there can, 1st. let the... | |
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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. 
