The diarian miscellany: consisting of all the useful and entertaining parts, extr. from the Ladies' diary, from 1704 to 1773. With additional solutions and improvements. By C. Hutton, Τόμος 2
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alſo altitude angle anſwered appear arch axis ball baſe becomes Beginning body Calculated circle conſequently courſe curve declination deſcribed determine diameter Diary difference diſtance divided draw drawn earth eclipſed equal equation fall fame Farrer feet fide firſt fluxion folidity force given gives greater greateſt half Heath height Hence hour inches John known latitude leaſt length London manner maximum method miles moon motion muſt nature nearly obſerved parallel perpendicular plane pole pounds Prize proportion propoſer quantity QUES QUESTION radius ratio reduced reſpectively round ſaid ſame ſecond ſhall ſide ſolution ſolved ſome ſquare ſuch ſum ſun ſun's ſuppoſed taken tangent theorem theſe thoſe triangle true Turner whence whole whoſe yards
Σελίδα 310 - 25 pounds, and x for the required height ; then, by the laws of motion, — will be the -velocity of the ball arrived at the plane of the horizon ; and (if Defaguliers's experiment, Philof.
Σελίδα 259 - SP the perpendicular on the tangent at A. Let AR be the radius of curvature; from the point a in the curve infinitely near A, draw am, an parallel to AS, AR. Let C — velocity in the curve, c •=. velocity in the circle.
Σελίδα 375 - But thefe four, when ST exceeds a certain limit, are impoffible. - Belides the two cafes above, there are other particular ones; fach as, when all the three lines meet in a point, or when two of them are parallel, &c. But thefe, being much eafier than the above, need not, I prefume, be indited on.
Σελίδα 253 - Obferving л horfe tied to feed in a gentleman's Park, with one end of a rope to his fore foot, and the other end to one of the circular iron rails...
Σελίδα 161 - C, 8; — the line AB being 33 feet long; — it happens, on a certain day in the year, that the end of the shadow of the staff A passes through the points В and С ; and of the staff B, through A and С ; and of the staff C, through the point A. To find the sun's declination and the elevation of the pole, or day, and the place where this shall happen.
Σελίδα 16 - Then if the fum of thefe numbers be divided by 7980, the remainder will be the year of the Julian period required. Or, The cycle © 18 mult, by 4845 = 87110^ The fum of Golden numb.
Σελίδα 146 - He now continually bears directly upon him, in a right line ; when coming up with him, it appears that the Don had sailed 8 leagues during the chace, and that the said admiral was 7 leagues distant from him when the chace began...
Σελίδα 366 - Ihe'sfure to pay my fcott ; And yet for what no mortal e'er can tell, Unlefs her courage rife from living well: The which to tame, that I may live in quiet...