## Miscellaneæ curiosæ [afterw.] Miscellanea curiosa: or, Entertainments for the ingenious of both sexes [ed. by T. Gent]. Jan./Mar. 1734-July/Sept |

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Resultados 1-5 de 5

Página 15

... + 7348869315871 % = 191821297287673. and " by converging Series x is

found = 63.2 , hence y = 50.6 Now * and y , being found , and consequently wv =

xty - 28 = 46.8 = n , and the

* ...

... + 7348869315871 % = 191821297287673. and " by converging Series x is

found = 63.2 , hence y = 50.6 Now * and y , being found , and consequently wv =

xty - 28 = 46.8 = n , and the

**Area**of the ' I'riangle w Su = ab = 476.5 = p ; put wS =* ...

Página 38

Make the Triangle's

QUESTION the 36th , by R. F. G ' IVEN the

ABHCDA = 154 . Square Perches , ( Vid . Fig . 16. ) as also the Line AD

fubtending ...

Make the Triangle's

**Area**fuch a Sum Of superficial Yards as is a MAXIMUM . ( 8. )QUESTION the 36th , by R. F. G ' IVEN the

**AREA**of the Parabolic SEGMENTABHCDA = 154 . Square Perches , ( Vid . Fig . 16. ) as also the Line AD

fubtending ...

Página 21

But it's evident , that is equal to 2 b : the

the Question is to be a Maximum , fubftitute now the Value of x before found in

this Equation , and 3630--3bay2 + 3b ? ay—- zay3 - =

But it's evident , that is equal to 2 b : the

**Area**of the Trapezium ABCD , which bythe Question is to be a Maximum , fubftitute now the Value of x before found in

this Equation , and 3630--3bay2 + 3b ? ay—- zay3 - =

**Area**: In Fluxions ... Página 22

L I say the Fluxion of the

Question we have 3 * ? * Ay 3 and by Multiplication and dividing by 3 % , *

Therefore the Curve fought is the Exteriour Part of the Appollonian Parabola , the

Parameter ...

L I say the Fluxion of the

**Area**of every Curve is = yx ; Consequently by theQuestion we have 3 * ? * Ay 3 and by Multiplication and dividing by 3 % , *

Therefore the Curve fought is the Exteriour Part of the Appollonian Parabola , the

Parameter ...

Página 26

Euc . ba = V3 xa = ba ; But = AK , because Triangles 3 whose Bases are equal ,

their perpendicular Altitudes are to each other as their

Triangle ba SDP = 3 times the Triangle SAP Ergo ba 3 1 - aja = .464096 . Or thus

by ...

Euc . ba = V3 xa = ba ; But = AK , because Triangles 3 whose Bases are equal ,

their perpendicular Altitudes are to each other as their

**Areas**; but it's plain theTriangle ba SDP = 3 times the Triangle SAP Ergo ba 3 1 - aja = .464096 . Or thus

by ...

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Algebra alſo Angle anſwered appear Arch Area Attraction becauſe Bodies Book Cauſe Centre Circle common conſequently contained Curve demonſtrated Diameter Difference direct Diſtance divide draw drawn Earth ENIGMA equal Equation Ergo fall fame Feet Figure firſt Fluxions fome Force Form give given Gravity greater Ground Height hence infinite kind known laſt Latitude Laws Length leſs Letters Line Manner Mathematical Matter Means Method Miles Moon moſt Motion move muſt Name Nature Newton Number Orbit parallel Perpendicular Place plain Planets Point Power Property Proportion proved Quantity QUESTION Reaſon remains right-angled Root ſame ſay Second Series ſeveral ſhall Ship ſhould Sides Sine ſome Space Square Step ſuch ſuppoſe Terms theſe Things thoſe tion Triangle true uſe Value whole whoſe World Yards

### 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 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.

Página 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.

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 7 - 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 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...