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" If from any point G of the Inperbola there is drawn a right line parallel to the transverse axis A a, meeting the second axis in N ; the square of the second axis shall be, to the square of the transverse, as the sum of the squares of the halt... "
Elements of the Conic Sections - Page 109
by Robert Simson - 1809 - 177 pages
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The British encyclopedia, or, Dictionary of arts and sciences, Volume 3

William Nicholson - 1809 - 752 pages
...to the transverse axis A a, meeting the second axis in N ; the square of tlie second axis shall be, to the square of the transverse, as the sum of the squares of tlie halt' of the secoml axis and its segment, between the centre and HIM right line, to the square...
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The British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Volume 3

William Nicholson - Natural history - 1809 - 700 pages
...to the transverse axis A a, meeting the second axis in N ; the square of the second axis shall be, to the square of the transverse, as the sum of the squares of the halt' of the second axis and its segment, between the centre and the right line, to the square...
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Elements of the Conic Sections

Robert Simson - Conic sections - 1817 - 298 pages
...transverse axis ; as was shown in the ellipsis (1. cor. 6. 2.). PROP. VIII. THEOE. If from a point in a hyperbola a straight line be drawn perpendicular to...square of the second axis is to the square of the tranverse, as the sum of the squares of half the second axis, and of its segment between the perpendicular...
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American Edition of the British Encyclopedia: Or, Dictionary of ..., Volume 6

William Nicholson - Natural history - 1819 - 394 pages
...parallel to the transverse axis A a meeting the second axis in N ; the square of the second axis shall be, to the square of the transverse, as the sum of the squares of the half of the second axis and its segment, between the centre and the right Tine, lo the square of...
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Solid and Spherical Geometry and Conic Sections: Being a Treatise on the ...

A. Bell - Conic sections - 1837 - 180 pages
...= EK • KF : DK2. Consequently EF : GH2 : EK • KF : DK2. COR. 1. — The square of the conjugate axis is to the square of the transverse, as the sum of the squares of the semi-conjugate, and the distance of the centre from a perpendicular falling upon the conjugate,...
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A Course of Mathematics: In Two Volumes. Composed for the Use of ..., Volume 2

Charles Hutton - Mathematics - 1843 - 570 pages
...symbols, is tantamount to the tnimciated proposition. PROP. IV. Tk iquare of the conjugate diameter is to the square of the transverse, as the sum of the square of the semi-conjugate together with the square of the distance of the ordinale from the centre,...
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