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" If the three sides of a plane triangle be replaced by three circles, then the circles touching these, which correspond to the inscribed and escribed circles of a plane triangle, are all touched by another circle. "
A treatise on spherical trigonometry, by W.J. M'Clelland and T. Preston - 163. lappuse
autors: William John M'Clelland - 1886
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A Sequel to the First Six Books of the Elements of Euclid: Containing an ...

John Casey - 1886 - 262 lapas
...cuts the circles 0, 0' orthogonally. Prop. 11. — DP.. HAET'S EXTENSION OP FEITEBBACH'S THEOKEM : — If the three sides of a plane triangle be replaced by three circles, then the circles touching these, which correspond to the inscribed and escribed circles of a plane triangle,...
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Proceedings of the Edinburgh Mathematical Society

Edinburgh Mathematical Society - 1893 - 352 lapas
...(1892), where a proof is also given of the following extension (due to Dr Hart) of Feuerbach's theorem : If the three sides of a plane triangle be replaced by three circles, then the circles touching these, which correspond to the inscribed and escribed circles of a plane triangle,...
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A Sequel to the First Six Books of the Elements of Euclid: Containing an ...

John Casey - 1895 - 216 lapas
...cuts the circles 0, 0' orthogonally. Prop. 11. — DR. HAET'S EXTENSION OP FEFEEBACH'S THEOEEM : — If the three sides of a plane triangle be replaced by three circles, then the circles touching these, which correspond to the inscribed and escribed circles of a plane triangle,...
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Proceedings of the Edinburgh Mathematical Society, 11. sējums

Edinburgh Mathematical Society - 1893 - 256 lapas
...(1892), where a proof is also given of the following extension (due to Dr Hart) of Feuerbach's theorem : If the three sides of a plane triangle be replaced by three circles, then the circles touching these, which correspond to the inscribed and escribed circles of a plane triangle,...
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