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A Compleat System of Opticks in Four Books, Viz; A Popular, a Mathematical, a Mechanical, and a Philosophical Treatise. To which are Added Remarks Upon the Whole Volume 1 - Softcover
This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1738 edition. Excerpt: ... Art. 224. made, be scartered allover a little circle whose diameter is X'-X 25 Very nearly, if they were all equally refrangible by article 339 and 332. As. for instance if the fine of incidence 72 be to the sine of refractron m as 20 to 3 1,_and if D, the diameter of the sphere to which the convex side of the glass is ground, be IOO foot or 1200 inches, and consequently the teles cope about 100 foot longb, and S the semidiameter of the aperture be 2. mm 83 inches; the diameter of thiscircle of aberrations, that is I 2 57), Will be little circle through which these rays are scattered by unequal refrangibility, willbe about the 5 5th part of the breadth of the aperture of the object-glass, which is here 4 inches. And therefore the aberration arising from the spherical figure of the glass, is to the aberration arising from the different refrangibility, as 961 4-_ 720 to 55. that isas 1 to 5449, and there unequal refrangibility, in a IOO foot telescope, but as +CF Fill' Hence if the length of each telescope be IOO foot, the lateral aberrations in the reflecter would be 30 X 5449 or 163470 times less than the lateral aberrations caused by unequal refrangibility in the resracter. 342. Coral. 2. The number of pencils, some of whose rays are mixed together in every point of a confused picture, is as the area of the circle of aberrations of the rays in any one pencil 5 and consequently the mixture of the rays of different pencil-s, caused by the sphericalness of the figure of an object-glass, if they were all alike refrangible, would be to their mixture caused by their unequal refrangibility, as 1 to 5449 X 5449 or 29691601 in the present instance. For conceiving any point in the confused picture to be a center of a circle of aberrations, it is...
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- PublisherRareBooksClub.com
- Publication date2013
- ISBN 10 1230068813
- ISBN 13 9781230068817
- BindingPaperback
- Number of pages74
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