A Description of the Experiments, Intended to Illustrate a Course of Lectures, on the Principles of Natural Philosophy, Read in the Observatory at Trinity College, Cambridge - Softcover
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1776*. Excerpt: ... Jheii tne difference of the obferved and true aJtTrada, arifing from' ike inclination of the qmdnnt to the vertical circle, »XJM. Cor. 1. The deviation of the quadrant being given, the error sc u X M will be the greaterr, when the altitude =45", becaufc the m1 diet of the line and cofine of 45 is greater than the prod uft of the fine and cofine of any other angle. Cor. II. If the altitude be the fame, the error in ortOrving it will be in a duplicate ratio of the deviation of the quadrant' plane from ihe veitical, becaufe the verfcd fines of arcs aye in a duplicate ratio af the arci themfelves, when they are diminiOied jil In,'. The obferved aliiwde being a fmall angle = if', the condition of the propofition is altered when the error of the qnadrant bears a conliHrrable proportion to d".--If u reprelenK the verfed fine of the quadrant's error as before, the error in altitude will now uJf'.. If the line of collimation be inclined to the plane of a quadrant otherwife accurately adjufted, the altitude of a ftar deduced from an obfervation taken by it will be greater than the true altitude. If the inclination of the line of coUimation lo the plane of llie quadrant be an angle (incomparably fmaller than the zenith tliftance) the verfed fine of hicli--u, let T--the tangent of the i,bfcrvcd altitude, Afs--57. i7.45", tlle difference between the true and cbferved altitudes--u'fxM9. Cor. I. The altitude being given, the error in obfc'rving it will be in a duplicate ratio of the error of the lineofcollimatian. Cor. II. The error of the line of collimation being given, the difference between the obfeived and true altitude will be as llie tangent of the altitude. When the obferved zenith diflance it fo final! that the error of the line of collimation bears a co...
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