> Para los que gustan de las matemáticas
> Peter Meadows ha compartido una publicación (https://plus.google.com/_/notifications/emlink?emr=13516955515809553030&emid=CMjW0cjXuMMCFVjwjAodSEcAVw&path=%2F110246755251547563856%2Fposts%2FEBmFgR4dtoq&dt=1422516674527&ub=STREAM_POST_SUBSCRIBED&uob=STREAM_POST_SUBSCRIBED) > > > > > > > Peter Meadows ha compartido la publicación de John Baez contigo. > > > > > > John Baez > We'll arrive at the same time > > The tautochrone is a curve with a remarkable property: if you let some beads slide down it, they all reach the bottom at the same time! Ignoring friction, that is. > > Even better, this curve is just an upside-down cycloid! The cycloid is the curve you get by rolling a wheel on a flat road and tracing the motion of a point on the rim. > > This was proved by Huyghens in 1659. He also showed that the time of descent equals the time it takes for a rock to fall a distance of π... > > > Has recibido esta notificación porque Peter Meadows estaba en un círculo al que te habías suscrito. Quiero darme de baja (https://plus.google.com/_/notifications/emlink?emr=13516955515809553030&emid=CMjW0cjXuMMCFVjwjAodSEcAVw&path=%2Fsettings%2Funsubscribe%3Fueat%3DAJ7SsMm_dfBgvgKzczJrRDIsdfDdul88M13TegrzMwV1AdQbt60ABwjrVQETJNfvzyFqFBEJCFL0kHiY89oMipjRXUPZqcGo-XpfOmXcyKtzYWd6NDjHDwcLSa4Rb24R3VP31OVxVfarQpF4tgILISBwCKwjEtlCB2_qGpW004UYc4PzAE9o2dsZkZLt7NAXH7r53TlWr9wg&dt=1422516674527&ub=STREAM_POST_SUBSCRIBED&uob=STREAM_POST_SUBSCRIBED) de estos correos. > Consejo de privacidad: protege tu información. Elimina tu firma electrónica antes de responder. > Google Inc., 1600 Amphitheatre Pkwy, Mountain View, CA 94043 USA > > > |
Gracias por compartir, maese @morplenauta
Vean la relacion que hay entre http://en.wikipedia.org/wiki/Tautochrone_curve y la http://en.wikipedia.org/wiki/Brachistochrone_curve Conozco mas la segunda, que practicamente dio origen al calculo variacional (dos Bernoulli dieron solucion, una mas ingeniosa y particular, otra mas general, esta ultima creo recordar dio pie al calculo variacional) De ahi al principio de Fermat, al de Maupertuis, al de Hamilton, lagrangianos, Euler-Lagrange, ah... que temas!!! Bueno, los que tienen paciencia, saben que los estoy tratando en mi blog Nos leemos! Angel "Java" Lopez @ajlopez On Thu, Jan 29, 2015 at 9:04 AM, Edgar De Cleene [hidden email] [squeakRos] <[hidden email]> wrote: > > > Para los que gustan de las matem€ ¢Ã¡ticas > > > > Peter Meadows ha compartido una publicaci€ ¢Ã³n > <https://plus.google.com/_/notifications/emlink?emr=13516955515809553030&emid=CMjW0cjXuMMCFVjwjAodSEcAVw&path=%2F110246755251547563856%2Fposts%2FEBmFgR4dtoq&dt=1422516674527&ub=STREAM_POST_SUBSCRIBED&uob=STREAM_POST_SUBSCRIBED> > > <https://plus.google.com/_/notifications/emlink?emr=13516955515809553030&emid=CMjW0cjXuMMCFVjwjAodSEcAVw&path=%2F110246755251547563856&dt=1422516674527&ub=STREAM_POST_SUBSCRIBED&uob=STREAM_POST_SUBSCRIBED> > Peter Meadows ha compartido la publicaci€ ¢Ã³n de John Baez contigo. > > <https://plus.google.com/_/notifications/emlink?emr=13516955515809553030&emid=CMjW0cjXuMMCFVjwjAodSEcAVw&path=%2F117663015413546257905&dt=1422516674527&ub=STREAM_POST_SUBSCRIBED&uob=STREAM_POST_SUBSCRIBED> > John Baez > *We'll arrive at the same time* > > The *tautochrone* is a curve with a remarkable property: if you let some > beads slide down it, they all reach the bottom at the same time! Ignoring > friction, that is. > > Even better, this curve is just an upside-down cycloid! The *cycloid* is > the curve you get by rolling a wheel on a flat road and tracing the motion > of a point on the rim. > > This was proved by Huyghens in 1659. He also showed that the time of > descent equals the time it takes for a rock to fall a distance of € ¢Ï’ ... > [image: imagen no mostrada] > <https://plus.google.com/_/notifications/emlink?emr=13516955515809553030&emid=CMjW0cjXuMMCFVjwjAodSEcAVw&path=%2F110246755251547563856%2Fposts%2FEBmFgR4dtoq&dt=1422516674527&ub=STREAM_POST_SUBSCRIBED&uob=STREAM_POST_SUBSCRIBED> > > Has recibido esta notificaci€ ¢Ã³n porque Peter Meadows estaba en un > c€ ¢Ãrculo al que te hab€ ¢Ãas suscrito. Quiero darme de baja > <https://plus.google.com/_/notifications/emlink?emr=13516955515809553030&emid=CMjW0cjXuMMCFVjwjAodSEcAVw&path=%2Fsettings%2Funsubscribe%3Fueat%3DAJ7SsMm_dfBgvgKzczJrRDIsdfDdul88M13TegrzMwV1AdQbt60ABwjrVQETJNfvzyFqFBEJCFL0kHiY89oMipjRXUPZqcGo-XpfOmXcyKtzYWd6NDjHDwcLSa4Rb24R3VP31OVxVfarQpF4tgILISBwCKwjEtlCB2_qGpW004UYc4PzAE9o2dsZkZLt7NAXH7r53TlWr9wg&dt=1422516674527&ub=STREAM_POST_SUBSCRIBED&uob=STREAM_POST_SUBSCRIBED> > de estos correos. > *Consejo de privacidad:* protege tu informaci€ ¢Ã³n. Elimina tu firma > electr€ ¢Ã³nica antes de responder. > Google Inc., 1600 Amphitheatre Pkwy, Mountain View, CA 94043 USA > > > > |
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