Miscellaneæ curiosæ [afterw.] Miscellanea curiosa: or, Entertainments for the ingenious of both sexes [ed. by T. Gent]. Jan./Mar. 1734-July/SeptThomas Gent 1734 |
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Página 31
... Equal to 3030 2x + I 69 = This Squared will give 2 y2 jz ; ( because I وو by the Equation of the Curve 2xxx = yy . ) The Fluxion of the Arch A C is = Vi x2 + y2 yy 2 y 2 9 y2y لا + 1 I Remarks on Mr. BAXTER's Book , & c . 31 A ...
... Equal to 3030 2x + I 69 = This Squared will give 2 y2 jz ; ( because I وو by the Equation of the Curve 2xxx = yy . ) The Fluxion of the Arch A C is = Vi x2 + y2 yy 2 y 2 9 y2y لا + 1 I Remarks on Mr. BAXTER's Book , & c . 31 A ...
Página 32
... Arch A Č . Now if we take only five Terms of the Series without carrying it fur- ther on , we shall find A C equal to .523585 and this mul- tiplyed by 12 , because the Arch A C is a twelfth Part of the Periphery , will give 6.2830 , & c ...
... Arch A Č . Now if we take only five Terms of the Series without carrying it fur- ther on , we shall find A C equal to .523585 and this mul- tiplyed by 12 , because the Arch A C is a twelfth Part of the Periphery , will give 6.2830 , & c ...
Página 34
... Arch given , fo that I would recommend to every Person who has a Defire to be fomething more than fuperficially verfed in the Mathematicks , to make himself . thorough Mafter of them ; and by frequent Practice he will foon attain his ...
... Arch given , fo that I would recommend to every Person who has a Defire to be fomething more than fuperficially verfed in the Mathematicks , to make himself . thorough Mafter of them ; and by frequent Practice he will foon attain his ...
Página 16
... her Diffe- rence of Longitude 74. 17 Miles ( vide Figure the 5th ) Put Length of the Arch of the Latitude arriv'd in , x = then then ( as Dr. Halley has demonftrated in Phil . 16 ANSWERS to the laft Arithmetical Questions .
... her Diffe- rence of Longitude 74. 17 Miles ( vide Figure the 5th ) Put Length of the Arch of the Latitude arriv'd in , x = then then ( as Dr. Halley has demonftrated in Phil . 16 ANSWERS to the laft Arithmetical Questions .
Página 17
... Arch of Minute 1 = 00029088 ) confequently_ · Put = 3438 . fere . And now to make all the Parts of the Triangle alike , we will inftead of dividing the above Series by a , multiply B C and DE , & c . by a . 44.45 xd a = c = BC ; 74-17 ...
... Arch of Minute 1 = 00029088 ) confequently_ · Put = 3438 . fere . And now to make all the Parts of the Triangle alike , we will inftead of dividing the above Series by a , multiply B C and DE , & c . by a . 44.45 xd a = c = BC ; 74-17 ...
Términos y frases comunes
abfolute alfo Algebra anfwered Angle Arch Area arife Arithmetick Bafe becauſe Bodies Cafe Caufe Centre Centripetal Force Circle Comets confequently converging Series Curve defcribe defires demonftrated Denfity Diameter Diſtance Eaft Earth Ellipfis ENIGMA equal Equation Ergo faid fame feem feveral fhall fhew fhould fimilar fince firft firſt Fluxions fome fubtract fuch fuppofe given Gravity hence infinite interfect Ladies Diary laft Laftly Latitude Latus Rectum leffer lefs Leibnitz likewife Mathematical Mathematicks Meaſure Method of Fluxions Miles moft Moon moſt Motion muft muſt Newton Number Obfervations occult Orbit Parabola parallel Perfons Perpendicular Philofophy Place plain Planets Progreffion Quantity Queſtion Radius Reafon refpect reft required to find right-angled Sides Sine Sir ISAAC Space Square Subftitution Subtangent Tangents thefe theſe Things thofe thoſe Tranfpofition Trapezium Triangle Velocity Vortices Weft whofe
Pasajes populares
Página 4 - ... As a blind man has no idea of colours, so have we no idea of the manner by which the all-wise God perceives and understands all things. He is utterly void of all body and bodily figure, and can therefore neither be seen nor heard nor touched ; nor ought He to be worshipped under the representation of any corporeal thing. We have ideas of His attributes, but what the real substance of anything is, we know not.
Página 3 - He is all similar, all eye, all ear, all brain, all arm, all power to perceive, to understand, and to act ; but in a manner not at all human, in a manner not at all corporeal, in a manner utterly unknown to us.
Página 25 - 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.
Página 7 - ... 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.
Página 1 - And if the fixed stars are the centres of other like systems, these, being formed by the like wise counsel, must be all subject to the dominion of One...
Página 2 - And from his true dominion it follows, that the true God is a living, intelligent, and powerful Being; and from his other perfections, that he is supreme or most perfect He is eternal and infinite, omnipotent and omniscient; that is, his duration reaches from eternity to eternity, his presence from infinity to infinity ; he governs all things, and knows all things that are or can be done.
Página 4 - But by way of allegory, God is said to see, to speak, to laugh, to love, to hate, to desire, to give, to receive, to rejoice, to be angry, to fight, to frame, to work, to build; for all our notions of God are taken from the ways of mankind by a certain similitude, which, though not perfect, has some likeness however. And thus much concerning God: to discourse of whom from the appearances of things does certainly belong to Natural Philosophy.
Página 9 - Therefore we may now more nearly behold the beauties of Nature, and entertain ourselves with the delightful contemplation; and, which is the best and most valuable fruit of philosophy, be thence incited the more profoundly to reverence and adore the great Maker and Lord of all.
Página 6 - And therefore we take the proper question to be, not who invented this or that method, but who was the first inventor of the method. And we believe that those who have reputed Mr. Leibnitz the first inventor knew little or nothing of his correspondence with Mr.
Página 9 - 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...