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" In like manner it may be shewn that the two pairs of opposite sides of a quadrilateral inscribed in a conic make intercepts on either minor directrix which subtend supplementary angles at the centre. "
An Introduction to the Ancient and Modern Geometry of Conics: Being a ... - Page 353
by Charles Taylor - 1881 - 384 pages
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The examinations for the degree of bachelor of arts, Jan., 1847

Cambridge univ, exam. papers - 1847 - 40 pages
...the least value of y which makes the integral part of (V3)* [ cot -^- J not divisible by 6. 14. If the two pairs of opposite sides of a quadrilateral inscribed in a Conic Section be produced to meet, and likewise the two pairs of tangents to the curve drawn from the opposite...
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A Dictionary of Science, Literature, & Art: Comprising the ..., Volume 1

William Thomas Brande, George William Cox - Encyclopedias and dictionaries - 1865 - 978 pages
...applied to the lines of either pair bring them into coincidence with the other pair. For instance, the two pairs of opposite sides of a quadrilateral inscribed in a circle are antiparallel. Two circular sections of a quadric cono whose planes intersect are also sometimes...
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The Doctrine of Germs, Or, The Integration of Certain Partial Differential ...

Samuel Earnshaw - Differential equations, Partial - 1881 - 602 pages
...conic intercept on has one of two constant and supplemen- the minor directrices lengths which subt.iry values. tend constant and supplementary angles at...VII.). Hence, the circles being coaxal and having 8 for a limiting point :* The opposite intercepts made by any The opposite intercepts made by any two...
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Report of the ... Meeting of the British Association for the ..., Volume 73

British Association for the Advancement of Science - Science - 1904 - 1206 pages
...liaison remarquable qui e'tait nominee par Desargues involution de six points.' He afterwards mentions that the two pairs of opposite sides of a quadrilateral inscribed in a conic can be regarded as a pair of degenerate conies, and that Desargues's theorem is thus an immediate deduction...
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Report of the Annual Meeting

British Association for the Advancement of Science. Meeting - Science - 1904 - 1190 pages
...liaison remarquable qui etait nomme'e par Desargues involution de six points.' He afterwards mentions that the two pairs of opposite sides of a quadrilateral inscribed in a conic can be regarded as a pair of degenerate conies, and that Desargues's theorem is thus an immediate deduction...
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