Search Loci: Convergence:
When I heard the learn'd astronomer,
When the proofs, the figure, were ranged in columns before me,
When I was shown the charts and diagrams, to add, divide, and measure them,
When I sitting heard the astronomer where he lectured with much applause in the lecture room,
How soon unaccountable I became tired and sick,
Till rising and gliding out I wander'd off by myself,
In the mystical moist night-air, and from time to time,
Look'd up in perfect silence at the stars.
See more quotations
Can You Really Derive Conic Formulae from a Cone?
- Apollonius of Perga. Conics Books I-III, translated by R. Catesby Taliaferro, in Great Books of the Western World, Vol. 11, Chicago: Encyclopedia Britannica, 1952. Revised Edition, edited by Dana Densmore, Santa Fe: Green Lion Press, 2000. Book IV, translated by Michael Fried, Santa Fe: Green Lion Press, 2002.
- Apollonius. Conics Books V to VII, Edited with Translation and Commentary by G. J. Toomer, New York: Springer-Verlag, 1990.
- Brannan, David A., Matthew F. Esplen, and Jeremy J. Gray. Geometry, New York: Cambridge University Press, 1999.
- Chandrasekhar, Subrahmanyan. Newton's Principia for the Common Reader, New York: Oxford University Press, 1995.
- Coolidge, Julian Lowell. A History of the Conic Sections and Quadric Surfaces, Oxford: Clarendon Press, 1945.
- Densmore, Dana. Newton's Principia: The Central Argument, Santa Fe, NM: Green Lion Press, 1996.
- Hahn, Alexander. Basic Calculus: From Archimedes to Newton to its Role in Science , New York: Springer Verlag, 1998.
- Heath, Thomas. A History of Greek Mathematics, Vol. 1, New York: Dover Publications, 1981.
- Heath, Thomas. A History of Greek Mathematics, Vol. 2, New York: Dover Publications, 1981.
- Heath, Thomas. The Thirteen Books of the Elements, Vol. 1, New York: Dover Publications, 1956.
- Katz, Victor. A History of Mathematics: An Introduction, 2nd ed., Reading , MA: Addison-Wesley, 1998.
- Newton, Isaac. The Principia, Mathematical Principles of Natural Philosophy, a new translation by I. Bernard Cohen and Anne Whitman, Berkeley, CA: University of california Press, 1999.
- Stein, Sherman. What Did Archimedes Do Besides Cry Eureka?, Washington, D.C.: Mathematical Association of America, 1999.
- Thomas, Ivor. Selections Illustrating the History of Greek Mathematics, Vol. 1, Cambridge , MA: Harvard University Press, 1998.
- Thomas, Ivor. Selections Illustrating the History of Greek Mathematics, Vol. 2, Cambridge , MA: Harvard University Press, 1998.
Discuss this article
start a new discussion thread
Mistake on the Ellipse draw
On "Deriving the Symptom of the Ellipse", the picture ellipse_view213221.gif is not clear, as X seems to be contained in the ellipse, with MX=ML, which contradicts the fact that ML²=MX*EM
add your reply