Memoire sur l'etude optique. Signed presentation copy of the very rare offprint: Lissajous, ... Memoire sur l'etude optique. Signed presentation copy of the very rare offprint: Lissajous, ...

Memoire sur l'etude optique. Signed presentation copy of the very rare offprint

Lissajous, Jules Antoine

Published by Mallet-Bachelier, Paris, 1857
Soft cover
From Jeremy Norman's historyofscience (Novato, CA, U.S.A.)

AbeBooks Seller Since January 9, 1999 Seller Rating 2-star rating

Association Member: ABAA

Quantity Available: 1

Buy Used
Price: US$ 4,750.00 Convert Currency
Shipping: US$ 7.50 Within U.S.A. Destination, rates & speeds
Add to basket

30 Day Return Policy

About this Item

Lissajous Figures: Inscribed Presentation Copy of the Very Rare Offprint Lissajous, Jules Antoine (1822-80). Memoire sur l'Etude optique des mouvements vibratoires. Offprint from Annales de chimie et de physique, 3rd series, 51 (1857). 8vo. 87, [1]pp. 2 folding plates with tissue guards. Paris: Mallet-Bachelier, 1857. 223 x 147 mm. Plain green wrappers c. 1857, front wrapper with author's signed presentation inscription: "A Monsieur Vincent de l'Institut, Souvenir affectueux de l'auteur, J. Lissajous." First signature a bit browned, title a little soiled, scattered foxing especially on tissue guards, otherwise fine. 2 sheets ms. calculations laid in, probably by the recipient of the offprint. First Separate Edition. Lissajous's most comprehensive paper on his optical method of studying vibration, which gave rise to the widely used "Lissajous figures," defined mathematically as curves in the xy plane generated by the functions y = a sin (w1t + q1) and x = b sin (w2t + q2) where w1 and w2 are small integers. "Like some other physicists of his time, Lissajous was interested in demonstrations of vibration that did not depend on the sense of hearing. . . . [His] most important research, first described in 1855, was the invention of a way to study acoustic vibrations by reflecting a light beam from the vibrating object onto a screen. . . . Lissajous produced two kinds of luminous curves. In the first kind, light is reflected from a tuning fork (to which a small mirror is attached), and then from a large mirror that is rotated rapidly. . . . The second kind of curve, named the 'Lissajous figure,' is more useful. The light beam is successively reflected from mirrors on two forks that are vibrating about mutually perpendicular axes. Persistence of vision causes various curves, whose shapes depend on the relative frequency, phase, and amplitude of the forks' vibrations. . . . If one of the forks is a standard, the form of the curve enables an estimate of the parameters of the other. As Lissajous said, they enable one to study beats (the ellipses rotate as the phase difference changes). 'Lissajous figures' have been, and still are, important in this respect" (DSB). Lissajous figures are sometimes used in graphic design as logos. Examples include the logos of the Australian Broadcasting Corporation (a = 1, b = 3, d = p/2) and the Lincoln Laboratory at MIT (a = 4, b = 3, d = 0). Prior to modern computer graphics, Lissajous curves were typically generated using an oscilloscope. Two phase-shifted sinusoid inputs are applied to the oscilloscope in X-Y mode and the phase relationship between the signals is presented as a Lissajous figure. Lissajous curves can also be traced mechanically by means of a harmonograph. Bookseller Inventory # 38038

Ask Seller a Question

Bibliographic Details

Title: Memoire sur l'etude optique. Signed ...

Publisher: Mallet-Bachelier, Paris

Publication Date: 1857

Binding: Soft cover

Signed: Signed by Author(s)

Edition: 1st Edition

Store Description

Visit Seller's Storefront

Association Member Members of these associations are committed to maintaining the highest standards. They vouch for the authenticity of all items offered for sale. They provide expert and detailed descriptions, disclose all significant defects and/or restorations, provide clear and accurate pricing, and operate with fairness and honesty during the purchase experience.
Terms of Sale:

Shipping charges will be applied to all orders. All items are guaranteed as described and all purchases may
be returned for any reason within two weeks of receipt. Please notify us in advance if you are making a
return.
Legal entity: Jeremy Norman & Co., Inc.
Business address: 936-B Seventh St., PMB 238, Novato, CA 94945-3000
Email address: orders@jnorman.com
Phone: 415-892-3181
Federal Tax ID Number:94-2261335
Authorized representative: Jeremy M. Norman


Shipping Terms:

Orders usually ship within 2 business days. Shipping costs are based on books weighing 2.2 LB, or 1 KG. If your book order is heavy or oversized, we may contact you to let you know extra shipping cost is required.

List this Seller's Books

Payment Methods
accepted by seller

Visa Mastercard American Express

Money Order PayPal Bank Draft Bank/Wire Transfer