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 8
... CONSEQUENTLY when C = 1 ; A + B = the true A and perfect Sum of fuch an infinite Series , AND the Sums of any fuch Series of Fractions having the fame Denominators , are one to another as their ref- pective common Numerators . THEREFORE ...
... CONSEQUENTLY when C = 1 ; A + B = the true A and perfect Sum of fuch an infinite Series , AND the Sums of any fuch Series of Fractions having the fame Denominators , are one to another as their ref- pective common Numerators . THEREFORE ...
Página 10
... CONSEQUENTLY when C = 1 . AA + AB the true and perfect Sum of fuch an infinite Series . CB C с will be the per- THEREFORE AA + ABA A + B fect Sum of fuch an infinite Series of Fractions whofe com- mon Numerator is C , and their ...
... CONSEQUENTLY when C = 1 . AA + AB the true and perfect Sum of fuch an infinite Series . CB C с will be the per- THEREFORE AA + ABA A + B fect Sum of fuch an infinite Series of Fractions whofe com- mon Numerator is C , and their ...
Página 11
... CONSEQUENTLY , □ ab . □ cả , & c . are Series of Frac- tions , whofe common Numerator is 1 , and their Denomi- nators are Squares , whofe Roots increase in Arithmetick Progreffion from A , and B the Number of Terms : And the Solid ...
... CONSEQUENTLY , □ ab . □ cả , & c . are Series of Frac- tions , whofe common Numerator is 1 , and their Denomi- nators are Squares , whofe Roots increase in Arithmetick Progreffion from A , and B the Number of Terms : And the Solid ...
Página 13
... CONSEQUENTLY the Curve DB , will be compofed of an infinite Number of fuch Series , having x , y , & c . in Arithmetick Progreffion . IN which Series the firft Terms are a Series of Equals , and b the Number of Terms : Therefore b is of ...
... CONSEQUENTLY the Curve DB , will be compofed of an infinite Number of fuch Series , having x , y , & c . in Arithmetick Progreffion . IN which Series the firft Terms are a Series of Equals , and b the Number of Terms : Therefore b is of ...
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...