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 3


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Σελίδα 3 - In the three sides of an equiangular field stand three trees at the distances of 10, 12, and 16 chains from one another ; to find the content of the field, it being the greatest the data will admit of.
Σελίδα 4 - Suppofe the ends of a thread, ten feet long, be fattened to two tacks, in the fame horizontal line, at the diftance of fix feet: I would know where two weights, the one three and the other five ounces...
Σελίδα 15 - N. the third of April, 1755* in the afternoon, I pbferved the two interfeftions of the inner part of the interior rain-bow with the horizon, to form an angle, at the place where I flood, of 60" : From which the time of obfervation is required.
Σελίδα 16 - Suppofe 12 half-pence to be thrown up, and thofe that come up heads to be taken away, and the remaining ones to be thrown up again, and fo on, in the fame manner, till all the half-pence have been thrown up heads : 'Tis propofed to find in what number of throws, according to an equality of chances, this may be effected.
Σελίδα 31 - ... by the pendulum on the top of the mountain will then be only the half of (— '-) what it is above found to be: Therefore the height of the mountain will come out four times as great here, as when the mountain's attraction is neglected.* XIV. QUESTION 419 anfiutr:d Ij Mr.
Σελίδα 93 - ... ftars were ufed to mark the returns of the feafons in the room of an artificial year, which they wanted. There is one thing indeed might be alledged in favour of thofe who place him rather later than earlier, that fuppofing the obfervations made with all the...
Σελίδα 56 - O'Cavanah has alfo obliged us with a folution to this very difficult problem, which agrees in every particular with that exhibited above. This gentleman, at the end of his...
Σελίδα 39 - ... ceafe to touch the faid vertical plane ? how long will it then have been in motion? and how far from the point A will the end (m) ftrike the horizontal plane ? PRIZE QUESTION, ly M>r.
Σελίδα 31 - ... made in the given equation, the required value of x may then be readily obtained by the common method of finding fluents by infinite feries : Or that value may be found in the following manner : AiTume x = b,+Jj +py* 4- ?/3 + ry*, &c.

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