. Transactions of the American Philosophical Society .. . the inclination of meridians;that is, radius: sine oj the latitude :: sine 7 difference of longitude :sine f the inclination of meridians. Or taking the arcs themselvesfor their sines, which is sufficiently accurate in small arcs, andagrees with the construction of the Chart; the angle oj converg-ence of any hvo meridians at a given latitude, is = to the sine oj thelatitude x by the difference oj longitude. Q. E. D. REMARK. If the meridians be considered as great circles of the sphere,and their inclination to the central meridian (or th
. Transactions of the American Philosophical Society .. . the inclination of meridians;that is, radius: sine oj the latitude :: sine 7 difference of longitude :sine f the inclination of meridians. Or taking the arcs themselvesfor their sines, which is sufficiently accurate in small arcs, andagrees with the construction of the Chart; the angle oj converg-ence of any hvo meridians at a given latitude, is = to the sine oj thelatitude x by the difference oj longitude. Q. E. D. REMARK. If the meridians be considered as great circles of the sphere,and their inclination to the central meridian (or that whichbisects the angle at the Pole) as the complement of the anglemade by a great circle passing through them at any given lati-tude, then in the spher. triangle Pad we have rad.: cosinePa:: tang, a P d: cotan. Pad; that is, rad.: sine oj the latitude::tangent of half the difference of longitude : tangent of the inclinationto the central meridian; which seems more correct. See the Table of the Inclination of Meridians, deduced from this
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