Free and Discounted Ebooks
Join 150,000 readers! Get our ebook deals straight to your inbox.

Encyclopaedia Britannica, 11th Edition, Volume 8, Slice 9

Dyer to Echidna

Cover image for

Download


Author: Various Authors
Published: 1911
Language: English
Wordcount: 165,558 / 520 pg
Flesch-Kincaid Reading Ease: 71.7
LoC Category: AE
Downloads: 707
Added to site: 2011.06.12
mnybks.net#: 30137
Genre: Reference
Excerpt

the whole subject it is convenient to deviate somewhat from the historical order of development, and to begin with the consideration of impulsive motion. Whatever the actual motion of the system at any instant, we may conceive it to be generated instantaneously from rest by the application of proper impulses. On this view we have, if x, y, z be the rectangular co-ordinates of any particle m,

mx` = X', my` = Y', mz` = Z', (2)

where X', Y', Z' are the components of the impulse on m. Now let [delta]x, [delta]y, [delta]z be any infinitesimal variations of x, y, z which are consistent with the connexions of the system, and let us form the equation

[Sigma]m(x`[delta]x + y`[delta]y + z`[delta]z) = [Sigma](X'[delta]x + Y'[delta]y + Z'[delta]z), (3)

where the sign [Sigma] indicates (as throughout this article) a summation extending over all the particles of the system. To transform (3) into an equation involving the variations [delta]q1, [delta]q

SUBSCRIBE TO MANYBOOKS 

FREE EBOOKS 

Join 150,000+ fellow readers! Get Free eBooks and book bargains from ManyBooks in your inbox. 

We respect your email privacy

(advanced)
login | register

User ID

Password

reset password

Author of the Day

Jackie Weger
Jackie Weger did a lot of interesting things in her life, such as starting university at 62 and traveling the word, living in tiny jungle villages. As she has found too many romance books are serious with poor, orphaned heroines, her novels are filled with humor and buzzing with family life. As our Author of the Day, Weger chats about how the Alabama Raised cottages inspired her latest book, Persimmon Road, reveals why she included a Civil War era ghost in the story and much more.
Read full interview...