or q.pl.

Origin of q.p.

Classical Latin*quantum placet*as much as you please

or q.pl.

Origin of q.p.

Classical LatinWebster's New World College Dictionary, Fifth Edition Copyright © 2014 by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

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**MLA Style**

"q.p.." YourDictionary, n.d. Web. 07 December 2018. <https://www.yourdictionary.com/qp>.

**APA Style**

q.p.. (n.d.). Retrieved December 07th, 2018, from https://www.yourdictionary.com/qp

abbreviation

queen's pawn (chess)

abbreviation

quantum placet (as much as you please)

THE AMERICAN HERITAGE® DICTIONARY OF THE ENGLISH LANGUAGE, FIFTH EDITION by the Editors of the American Heritage Dictionaries. Copyright © 2016, 2011 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

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Cite this page

**MLA Style**

"q.p.." YourDictionary, n.d. Web. 07 December 2018. <https://www.yourdictionary.com/qp>.

**APA Style**

q.p.. (n.d.). Retrieved December 07th, 2018, from https://www.yourdictionary.com/qp

- Now as to the phase of the secondary wave, it might appear natural to suppose that it starts from any point Q with the phase of the primary wave, so that on arrival at P, it is retarded by the amount corresponding to QP. But a little consideration will prove that in that case the series of secondary waves could not reconstitute the primary wave.
- In order to find the difference of optical distances between the courses QAQ', QPQ', we have to express QP-QA, PQ'-AQ'.
- To find the former, we have, if OAQ=4), AOP=w, QP 2 =u 2 +4a 2 sin 2 2w - 4au sin la) sin (2w-4)) = (u +a sin 4) sin w) 2 -a 2 sin 2 4)sin 2 c0+4a sin 2 2w(a-u cos 0).
- But if we now suppose that Q lies on the circle u= a cos 0, the middle term vanishes, and we get, correct as far as w4, QP= (u+a sin 4) sin w) 1 ' 3 1 {- a sin2c?sin4w V 4u so that QP - u=asin0sinw -Ft asin¢tanOsin 4 w..
- A similar expression can be found for Q'P - Q"A; and thus, if Q' A =v, Q' AO = where v =a cos (0", we get - - -AQ' = a sin w (sin 4 -sink") - - 8a sin 4 w(sin cktan 4 + sin 'tan cl)').

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