A Mathematical Miscellany in Four Parts: I. An Essay Towards the Probable Solution of the Forty-five Surprizing Paradoxes in Gordon's Geography. II. Fifty-five New and Amazing Paradoxes, Some in Verse, Some in Prose, with Their Solutions. III. Answers to the Hundred Arithmetical Problems, Left Unanswered in Hill's Arithmetick, and Alexander's Algebra. IV. Miscellaneous Rules about Forming Aenigma's, Questions, the Doctrine of Eclipses, of Pendulums, the Equation of Time, Concerning Easter, &c

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S. Fuller, 1735 - Mathematical recreations - 156 pages
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Page 4 - ... no day or night for many turnings of the earth, within the polar circles ; why there is but one day and one night in the whole year at the poles ; and why the days and nights are equally long all the year round at the equator, which is always equally cut by the circle bounding light and darkness.
Page 151 - ... supports the hinges of the rudder; so that this water bears more directly on the rudder by an angle of about 30 degrees: hence, in the above case, the angle under which the water impels the rudder will be nearly 60 degrees...
Page 10 - Degrees upon the same, at a certain time of the Year; and that twice every Day for the space of divers Weeks : Yet no ways derogating that miraculous returning of the Shadow upon the Dial of Ahaz, in the days of King Hezekiah.
Page 24 - There is a remarkable river on the continent of Europe,, over which there is a bridge of fuch a breadth, that above three thoufand men abreaft may pafs along the fame, and.
Page 5 - There is a certain place of the Earth, where a Fire being made, neither Flame nor Smoke would ascend, but mjve circularly about the Fire.
Page 17 - ... hence it follows, that not only in Ethiopia, but in all parts of the world the moon doth always appear to be moft...
Page 109 - ... a mile to every day's journey : in what time will they meet with one another ? 92. Again, two travellers fet out at the fame time from two cities, the one from A, and the other from B, which are 120 miles...
Page 96 - Sum fubtracl the Gain of the firft, there remains the Gain of the third — 43 Crowns : What was- the Gain of each ? 52.
Page 41 - cross a shilling be an inch, As it is very near, Who had the better portion — That had the round, or square?
Page 4 - The 45 paradoxes will be reproduced in two chapters. 1. There are two remarkable places on the globe of the earth, in which there is only one day and one night throughout the whole year. 2. There are...

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