 ... upon geometrical loci ; give me leave to present one to your notice, to which I should like to have your demonstration, to compare with my own. ***** When a circle and a right line are given in position, can you determine a point in the circumference...  Elements of the Conic Sections - Page 163by Robert Simson - 1809 - 177 pagesFull view - About this book
 | Richard Jack - Conic sections - 1742 - 378 pages
...the fquare * 6E- /.»; of CT;' confequently the rectangle contained between bH and HY, the fegments of the tangent, intercepted between the point of contact and the conjugate diameters cut by it, is f equal to the fquare oftH^-jCG, the lemi-diameter conjugate to HK, drawn through the... | |
 | Robert Simson - Conic sections - 1775 - 306 pages
...of an hyperbola meet a ftraight line touching the hyperbola, the rectangle contained by the fegments (of the tangent) intercepted between the point of...contact and the conjugate diameters, is equal to the fquare of the femidiameter conjugated to that diameter which pafles through the point of contact. «... | |
 | Robert Simson - Conic sections - 1817 - 298 pages
...also have been demonstrated like prop. 20. B. 2. PROP. XLVI. THEOR. If two conjugate diameters of a hyperbola meet a straight line touching the hyperbola,...diameter which passes through the point of contact. Fig. ST. Let ACB, DCE be two conjugate diameters, and let a straight line which touches the hyperbola... | |
 | Industrial arts - 1852 - 568 pages
...point, by a direct construction, in the periphery of the circle, from which a tangent beinc drawn — the segment of the tangent intercepted between the point of contact and the line shall be given in length '• \ add my sincere respects to an oJd friend ; remaining ever " Yours,... | |
 | Perry Fairfax Nursey - Industrial arts - 1852 - 550 pages
...point, by a direct construction, in the periphery of the circle, from which a tangent being drawn— the segment of the tangent intercepted between the point of contact and the line shall be given in length ? I add my sincere respects to an old friend ; remaining ever " Yours,... | |
 | Historic Society of Lancashire and Cheshire - Cheshire (England) - 1855 - 374 pages
...position, can you determine a point in the circumference of the circle, from which a tangent being drawn ; the segment of the tangent intercepted between the point of contact, and the line shall be given in length ? The enunciation you will excuse, provided you can comprehend me ; we... | |
 | Cheshire (England) - 1855 - 712 pages
...position, can you determine a point in the circumference of the circle, from which a tangent being drawn ; the segment of the tangent intercepted between the point of contact, and the line shall be given in length ? The enunciation you will excuse, provided you can comprehend me ; we... | |
 | Historic Society of Lancashire and Cheshire - Cheshire (England) - 1855 - 386 pages
...position, can you determine a point in the circumference of the circle, from which a tangent being drawn ; the segment of the tangent intercepted between the point of contact, and the line shall be given in length ? The enunciation you will excuse, provided you can comprehend me ; we... | |
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