Friday, November 17, 2006

Science:Bernoulli's challenge and Newton

In 1696 John Bernoulli challenged mathematicians
(i) to determine the brachistochrone, and
(ii) to find a curve such that if any line drawn from a fixed point O cut it in P and Q then OP^n+OQ^n would be constant.

Leibnitz solved the first of these questions after an interval of rather more than six months, and then suggested that they be sent as a challenge to Newton and others. Newton received the problems on Jan. 29, 1697, and the next day gave the complete solutions to both, at the same time generalising the second question. An almost exactly similar case occurred in 1716 when Newton was asked to find the orthogonal trajectory of a family of curves. In five hours Newton solved the problem in the form in which it was propounded to him, and laid down the principles for finding trajectories i.e integral calculus

1 comment:

Anonymous said...

Hello mebmers.

Are you looking to get your Website [b]Indexed on top of Google[/b] search engine? Maybe you are looking to get more audiance exposure? We have the ideal solution for you! We offer you an exclusive chance to experiance the knowledge of our [b][url=]Xrumer Experts[/url][/b]. [url=][img][/img][/url]

It is NOT spam! This is a human made message specifically created to demonstrate the power of our automated software and its potential of reaching wide variety of audience in an effective and time saving manner.

We are a group of veteran [b][url=]Internet Marketers[/url][/b] and [b]SEO Experts[/b] that provide [b]Affordable, High Quality, [url=]Search Engine Optimization Service[/url][/b]. Post your message on thousands of forums, message boards, blogs and journals and gain organic traffic in a matter of days! With the help of our [b][url=]Search Engine Optimization Experts[/url][/b] your [b]Store URL[/b] can appear on [b]2074[/b] message boards and blogs. Receive almost instant growth of your search engine rank, Get thousands of quality backlinks directly to your Website without lifting a finger!

Our goal is simple; we want to make you and your website on the top of every search engine so you and your family can enjoy the comfort of steady, automatic income without leaving your home. Trough our [b][url=]SEO Advice[/url][/b] you will receive one of the best support seen in the industry. As part of our [b]Search Engine Optimization Services[/b], we take care of everything for you, from Optimizing your Website for search engines all through ranking your Forum on the first page of your Bing.

For more information regarding [b]Search Engine Optimiztion[/b] and [b]Xrumer Blast Services[/b] visit [b][url=]Xrumer Blast[/url][/b]. Our site includes everything you need to order your first [b]Xrumer Blast[/b], you can create the most appropriate message (Project) to suit your Site, send us the information and after the payment clearance we will start working immediatly!