Miscellanea Curiosa: Or, Entertainments for the Ingenious of Both Sexes...1734 |
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Miscellanea Curiosa: Or, Entertainments for the Ingenious of Both Sexes Anonymous No preview available - 2018 |
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abfolute Aftronomers alfo Algebra Altitude anfwered Arch Area arife Bafe becauſe Bodies Cafe Caufe Centre Centripetal Force Circle Comets confequently converging Series Curve defcribe defired demonftrated Denfity Diameter Diſtance Earth Ellipfis ENIGMA equal Equation Ergo faid fame feem Feet feveral fhall fhew fhould fimilar Triangles fince firft Fluxions fmall fome fubftitute fubtract fuch fuppofe given Gravity greateſt hence Interfection itfelf juft Ladies Diary laft Laftly Latitude Latus Rectum leffer lefs Leibnitz Letters likewife Mathematical Mathematicks Matter Meaſure Method of Fluxions Miles moft Moon moſt Motion muft muſt Newton Number Obfervations occult Orbit pafs Parabola Perfons Perpendicular Philofophy Place Planets Pofition Quantity Queſtion Radius Reafon Refiftance reft required to find Right Angled Sides Sine Sir ISAAC Space Square Tangent thefe theſe Things thofe thoſe Tranfpofition Trapezium Velocity Vortices Weft whofe
Popular passages
Page 2 - ... that is, by an occult quality. But now somebody, more cunning than he, may come to explain the cause after this manner. He will suppose a certain subtile matter, not discernible by our sight, our touch, or any other of our senses, which fills the spaces which are near and contiguous to the...
Page 7 - Let us now go on to the other planets. Because the revolutions of the primary planets about the sun and of the secondary about Jupiter and Saturn are phenomena of the same kind with the revolution of the moon about the earth, and...
Page 7 - But by what was shown before, the very same ratio holds between the centripetal force of the moon revolving in its orbit, and the centripetal force of the moon near the surface of the earth. Therefore the centripetal force near the surface of the earth is equal to the force of gravity. Therefore...
Page 5 - ... the squares of the periodic times are as the cubes of the distances from the common centre, the centripetal forces will be inversely as the squares of the distances.
Page 23 - And thou, dost thou disdain to yield thy breath, Whose very life is little more than death ? More than one half by lazy sleep possest ; And when awake, thy soul but nods at best, 265 Day-dreams and sickly thoughts revolving in thy breast, Eternal troubles haunt thy.
Page 7 - ... centripetal force of the moon near the surface of the earth. Therefore the centripetal force near the surface of the earth is equal to the force of gravity. Therefore these...
Page 13 - I wish we could derive the rest of the phenomena of nature by the same kind of reasoning from mechanical principles; for I am induced by many reasons to suspect that they may all depend upon certain forces by which the particles of bodies, by some causes hitherto unknown, are either mutually impelled towards each other, and cohere in regular figures, or are repelled and recede from each other...
Page 5 - ... the relative velocity with which the fluid pushes the body behind is equal to the velocity with which the body...
Page 7 - Alphonso were now alive he would not complain for want of the graces either of simplicity or of harmony in it. Therefore we may now more nearly behold the beauties of Nature and entertain ourselves...
Page 6 - Without all doubt this world, so diversified with that variety of forms and motions we find in it, could arise from nothing but the perfectly free will of God directing and presiding over all. From this fountain it is that those laws, which we call the laws of Nature, have flowed, in which there appear many traces indeed of the most wise contrivance, but not the least shadow of necessity. These therefore we must not seek from uncertain conjectures, but learn them from observations and experiments.