 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...to the more remote, which is impossible. If, therefore, any point, &c. QED Proposition IX. Theorem. If a point be taken within a circle, from which there fall more than two equ-il straight lines to the circumference, that point is the centre of the circle. Let the point D... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...remote, which has been proved to be impossible. If therefore any point, &c. QED • PROP. IX. THEOR. If a point be taken within a circle, from -which there fall more than two equal straight lines to the circumference, that point is the centre of the circle. Let the point D be taken... | |
 | John Playfair - Euclid's Elements - 1833 - 346 pages
...more remote, which has been shewn to be impossible. If, therefore, any point, &c. QED PROP. IX. THEOR. If a point be taken within a circle, from which there fall more tltan two equal straight lines upon the circumference, that point is the centre of the circle. Let... | |
 | Euclid - 1835 - 540 pages
...the more remote, which is impossible. " Jf, therefore, any point," &c. QED Book m- PROP. IX. THEOR. If a point be taken within a circle, from which there fall more than two equal straight lines upon the circumference, that point is the centre of the circle. Let the point D be taken... | |
 | Mathematics - 1836 - 488 pages
...straight lines can be drawn from the point unto the circumference, one upon each side of the least. IX. If a point be taken within a circle, from which there fall more than two equal straight lines upon the circumference, that point is the centre of the circle. X. One circle cannot... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...the least, equal to the more remote, which has been shown to be impossible. PROPOSITION IX. PROBLEM. If a point be taken within a circle, from which there fall more than two equal straight lines to the circumference, that point is the centre of the circle. Let the point D be taken... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...demonstration is impossible, and .'. the supposition is false. PROPOSITION IX. (Argument ad absurdum). Theorem. If a point be taken within a circle, from which there fall more than two equal straight r! lines to the circumference, that point is the centre of the circle. Steps of the Demonstration.... | |
 | Euclides - Geometry - 1841 - 378 pages
...remote, which has been proved to be impossible. If, therefore, any point, &c. QED PROP. IX. THEOR. If a point be taken within a circle, from which there fall more than two equal straight lines upon the circumference, that point is the centre of the circle. Let the point D be taken... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...to DG, the least, equal to the more remote, which has been shewn to be impossible. PROP. IX. THEOR. If a point be taken within a circle, from which there fall more than two equal straight lines upon the circumference, that point is the centre of the circle. Let the point D be taken... | |
 | Church schools - 1844 - 456 pages
...explain the principles on which they are respectively founded. 3. Prove EUCLID, Book I. Prop. 47. 4. If a point be taken within a circle, from which there fall more than two eqnal straight lines to the circumference, that point is the centre of the circle. Prove this, and... | |
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If a point be taken within a circle, from which there fall more than two equal straight lines to the circumference, that point is the centre of the circle. Let... 
