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" CAA3B4; prove that two circles and another point may be taken arbitrarily, and that the circles abc meet the circles def in six new points which lie on the circumference of another circle. "
Mathematical Questions and Solutions, from the "Educational Times": With ... - Page xv
edited by - 1867
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Mathematical Questions and Solutions, from the "Educational Times.", Volume 7

1867 - 120 pages
...order, (a). . A,A2AiA4, (&).. 8,828384, (eV.O,CAC45 (d). . AiAiB3C4, (e). . B^-C^, (/). . C,C2A3B4; prove that two circles and another point may be taken...circumference of another circle. 2317. (Proposed by Professor SYLVESTER.) — 1. Four points are taken at raudom upon a finite straight line ; find the probability...
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Mathematical Questions and Solutions, from the "Educational Times.", Volume 24

1876 - 120 pages
...order, («)... А, А2А3А„ (Ь) . . B^BA, (r) ... CACA, frf)...A,A2B3C4, (e)...B,BAA4, (/)... C^A^ ; prove that two circles and another point may be taken...arbitrarily, and that the circles abc meet the circles defin six new points which lie on the circumference of another circle .......... 42,75 4697. (Prof....
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Mathematical Questions and Solutions, from the "Educational Times ..., Volume 24

W. J. C. Miller - Mathematics - 1876 - 132 pages
...points ou a conic in the following order, («)... A1A2A3A4, (*) ... B,B2B3B4, («)... Cß• « (/)... . prove that two circles and another point may be taken arbitrarily, and that the circles обс meet the circles def in six new points which lie on the circumference of another circle. Solution...
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An Introduction to the Ancient and Modern Geometry of Conics: Being a ...

Charles Taylor - Mathematics - 1881 - 512 pages
...on a conic in the order, («) A^A^ (6) BtB,B,Ba (c) C-.CCC, (d) AtAtB,Ct, (e) B&CA, (f) C^B.; prove that the circles abc meet the circles def in six new...which lie on the circumference of another circle. [xxiv. 75. 955. Prove that there are eight chords of an ellipse normal to the curve at one extremity...
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The Doctrine of Germs, Or, The Integration of Certain Partial Differential ...

Samuel Earnshaw - Differential equations, Partial - 1881 - 602 pages
...on a conic in the order, (a) AAAA, (b) BtBtBA, (c) CCCO, («*) A^B3Ct, (e) B&CA, (f) 0,<W?4; prove that the circles abc meet the circles def in six new...which lie on the circumference of another circle. [xxiv. 75. 955. Prove that there are eight chords of an ellipse normal to the curve at one extremity...
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