Elementary Treatise On Physics, Experimental And Applied, for the Use of Colleges And Schools;
Elementary Treatise On Physics, Experimental And Applied, for the Use of Colleges And Schools;
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In our eReader you can find the full English version of the book. Read Elementary Treatise On Physics, Experimental And Applied, for the Use of Colleges And Schools; Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Elementary Treatise On Physics, Experimental And Applied, for the Use of Colleges And Schools;
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lens, let P be a luminous point situate on the axis (fig. 483), let PI be an in- cident ray, IE its direction within the lens, EP' the emergent ray, so that P' is the conjugate focus of P. Further, let CI and CE be the normals to the points of incidence and emergence, and I PA be put equal to o, EP'A'-A ECA'-y, ICA-d, NIP-/, ElO-r, lEO-/', N'EP'-r.
Because the angle / is the exterior angle of the triangle PIC, and the angle r' the exterior angle of the triangle CEP', therefore r-a-i-^ and r'-y-...h/S, whence /-l-r'-a-l-iS-Hy+d (i) But at the point I, sin /-» « sin r, and at the point E, sin r' - « sin / (538', f^ being the refractive index of the lens. Now if the arc AI is only a small number of degrees, these sines may be considered as proportional to the angles /, r, /', and r' ; whence, in the above formula, we may replace the sines by their angles, which gives /««r and r' = «/', from which / + r'«« (r + z).
Further, because the two triangles lOE and COC have a common equal angle O, therefore r-H/' = y-i-^ from which i+r'^n (y + i^).
What to read after Elementary Treatise On Physics, Experimental And Applied, for the Use of Colleges And Schools;?
You can find similar books in the "Read Also" column, or choose other free books by A Adolphe Ganot to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
lens, let P be a luminous point situate on the axis (fig. 483), let PI be an in- cident ray, IE its direction within the lens, EP' the emergent ray, so that P' is the conjugate focus of P. Further, let CI and CE be the normals to the points of incidence and emergence, and I PA be put equal to o, EP'A'-A ECA'-y, ICA-d, NIP-/, ElO-r, lEO-/', N'EP'-r.
Because the angle / is the exterior angle of the triangle PIC, and the angle r' the exterior angle of the triangle CEP', therefore r-a-i-^ and r'-y-...h/S, whence /-l-r'-a-l-iS-Hy+d (i) But at the point I, sin /-» « sin r, and at the point E, sin r' - « sin / (538', f^ being the refractive index of the lens. Now if the arc AI is only a small number of degrees, these sines may be considered as proportional to the angles /, r, /', and r' ; whence, in the above formula, we may replace the sines by their angles, which gives /««r and r' = «/', from which / + r'«« (r + z).
Further, because the two triangles lOE and COC have a common equal angle O, therefore r-H/' = y-i-^ from which i+r'^n (y + i^).
What to read after Elementary Treatise On Physics, Experimental And Applied, for the Use of Colleges And Schools;?
You can find similar books in the "Read Also" column, or choose other free books by A Adolphe Ganot to read onlineMoreLess
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