On the Undulatory Theory of Optics: Designed for the Use of Students in the UniversityMacmillan, 1866 - 159 σελίδες |
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Σελίδα 8
... equation for the disturbance of a particle d2X dt d2X v2 : 0 dx2 ( v being a constant , = mgH in the common notation , and X being the disturbance from the state of rest ) , and the solu- tion is - X = ( vt − x ) + ¥ ( vt + x ) , where ...
... equation for the disturbance of a particle d2X dt d2X v2 : 0 dx2 ( v being a constant , = mgH in the common notation , and X being the disturbance from the state of rest ) , and the solu- tion is - X = ( vt − x ) + ¥ ( vt + x ) , where ...
Σελίδα 9
... equation ) be all of the first dimension , the substitution of a sum of functions is the same as the sum of their substitutions separately , and therefore if each of those functions satisfies the equation , their sum will satisfy the ...
... equation ) be all of the first dimension , the substitution of a sum of functions is the same as the sum of their substitutions separately , and therefore if each of those functions satisfies the equation , their sum will satisfy the ...
Σελίδα 22
... equation for the disturbance of the particles is d2u dt2 dr = mgHd ( 2x + du ) , / 2u d = = v2 dr ( 2u + 2 dr du ) . To solve this equation , let y = rfu ; which originate from the different points of AB are in 22 UNDULATORY THEORY OF ...
... equation for the disturbance of the particles is d2u dt2 dr = mgHd ( 2x + du ) , / 2u d = = v2 dr ( 2u + 2 dr du ) . To solve this equation , let y = rfu ; which originate from the different points of AB are in 22 UNDULATORY THEORY OF ...
Σελίδα 23
... equation becomes d / 1 d2y d / 1 d2y = v2 dr dt2 dr dr2 whence dre d2y and d2y v2 dt2 dr2 = r.X " ( 1 ) . 1 d2y_v2 d2 + x ' ' ( t ) , r'dta Solving this partial differential equation , y = r.x ( t ) - ( vt − r ) + ↓ ( vt + r ) d and u ...
... equation becomes d / 1 d2y d / 1 d2y = v2 dr dt2 dr dr2 whence dre d2y and d2y v2 dt2 dr2 = r.X " ( 1 ) . 1 d2y_v2 d2 + x ' ' ( t ) , r'dta Solving this partial differential equation , y = r.x ( t ) - ( vt − r ) + ↓ ( vt + r ) d and u ...
Σελίδα 30
... equation for plane waves going in the direction of a line which makes with x , y , and z , the angles a , ß , y . It is particularly to be remarked that the sum of any number of these solutions may be taken for one solution : and also ...
... equation for plane waves going in the direction of a line which makes with x , y , and z , the angles a , ß , y . It is particularly to be remarked that the sum of any number of these solutions may be taken for one solution : and also ...
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2π λ a² cos² Algebra analyzing plate angle of incidence aperture axis BROOKE FOSS WESTCOTT Cambridge cloth coefficient common light Consequently Crown 8vo dicular different colours direction displacement distance disturbance double refraction dx dy ELEMENTARY TREATISE elliptically polarized English equal equation ether explain expression Extra fcap extraordinary ray fcap Fresnel's rhomb front glass Iceland spar integral intensity of light investigation Latin length Mathematical motion nearly Newton's rings ordinary ray original particles pencil perpen perpendicular phænomena plane of incidence plane of polarization plane of reflection polarized light position principal plane prism produced Professor PROP proportion radius reflected ray represented retardation rhombohedron Schools screen Second Edition seen shews similar sin² suppose surface tion tourmaline undulation velocity vibration vibrations perpendicular vt-x λατ λό όλ
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