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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. If it be possible. let the two similar segments of circles, viz. ACB' ADB be upon the same side of the same straight... "
Euclid's Elements of plane geometry [book 1-6] with explanatory appendix ... - Página 78
por Euclides - 1840
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 páginas
...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...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 páginas
...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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 554 páginas
...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...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volumen5

John Mason Good - 1813 - 714 páginas
...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...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 páginas
...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...
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Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Rev. John Allen - 1822 - 516 páginas
...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...
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Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Rev. John Allen - 1822 - 508 páginas
...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...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 páginas
...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...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 páginas
...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...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1829 - 548 páginas
...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...
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