The British Palladium: Or, Annual Miscellany of Literature and Science for the Year ..., Volumen3D. Steel., 1753 |
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Página 23
... Given a = 1752 , c = 0,7854 ; Let x = AO , y➡RO , OE . Then AEx + x , and ED -≈ , and by the Property of the Curve x2 ; y2 :: x22 : Whence √x2 - HS , and 4zy x x 2 XX 2 EC2 . Area of the greatest Parallelogram , a Maximum , and in ...
... Given a = 1752 , c = 0,7854 ; Let x = AO , y➡RO , OE . Then AEx + x , and ED -≈ , and by the Property of the Curve x2 ; y2 :: x22 : Whence √x2 - HS , and 4zy x x 2 XX 2 EC2 . Area of the greatest Parallelogram , a Maximum , and in ...
Página 24
... given Area of the Ellipfis , whofe Dia- meters AD and RT are to be ' determined , c3.1459 the Area of a Circle whofe Radius is Unity , a = OR the Semi- Conjugate and ́e the Semi Tranfverfe . Then 1 : c :: ae b ca cae the Area of the ...
... given Area of the Ellipfis , whofe Dia- meters AD and RT are to be ' determined , c3.1459 the Area of a Circle whofe Radius is Unity , a = OR the Semi- Conjugate and ́e the Semi Tranfverfe . Then 1 : c :: ae b ca cae the Area of the ...
Página 26
... Given BODO OE --- ACb , and AO = c ; ..OC = bcm ; Let GCx , then GQ m + x , and , per 47 E. 1. GE GF = √a ^ m2 - zmx - x2 , whence x √ a2 m2 + x2 or a2x2 — m2x2 -zmx3- -x + is a Maximum : in Flu- xions 2a2xx — zm2xx --b m x2 x 4 4x3 x ...
... Given BODO OE --- ACb , and AO = c ; ..OC = bcm ; Let GCx , then GQ m + x , and , per 47 E. 1. GE GF = √a ^ m2 - zmx - x2 , whence x √ a2 m2 + x2 or a2x2 — m2x2 -zmx3- -x + is a Maximum : in Flu- xions 2a2xx — zm2xx --b m x2 x 4 4x3 x ...
Página 27
... given Lune , EFC the Parallelogram , then we have given by Queft . OBOE OF≈a , AC6 and OAc , put GC ( the Width of the Parallelogram ) , then GIa - b + c - x and AG = a + b - c + x . Th . per 35 E. 3. AG x IG • GE ) 2 = a2b2 + 2 b c 2 ...
... given Lune , EFC the Parallelogram , then we have given by Queft . OBOE OF≈a , AC6 and OAc , put GC ( the Width of the Parallelogram ) , then GIa - b + c - x and AG = a + b - c + x . Th . per 35 E. 3. AG x IG • GE ) 2 = a2b2 + 2 b c 2 ...
Página 28
... given Distances fail'd by the Ship be- fore the madeher Obfervation at I. Now as the Port is , by the Question , 250 ... given Distance , draw the Meridian PTD : Then in the Right angled Spherical Triangle PIT are given PI ( the Comp ...
... given Distances fail'd by the Ship be- fore the madeher Obfervation at I. Now as the Port is , by the Question , 250 ... given Distance , draw the Meridian PTD : Then in the Right angled Spherical Triangle PIT are given PI ( the Comp ...
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Página 18 - Two principles in human nature reign; Self-love, to urge, and reason, to restrain; Nor this a good, nor that a bad we call, Each works its end, to move or govern all: And to their proper operation still Ascribe all good; to their improper, ill.
Página 47 - Point ; which is this, that it is worfe taken if a Man pays in more than his Proportion, than if he had not contributed his full Quota, provided he be not too far deficient : For the Prevention of which, let us have Horace's Caution continually in our Eye, The indifcrtet iiiith blind A'verjton run Into one fault, tahen they another jhun.
Página 47 - Oppofition, to a Man of tolerable Senfe, will be the ftrongeft Reproof for his Inadvertency : Whereas a Perfon of a loquacious Difpofition, may often efcape open Cenfure from the Refpect due to his Quality ; or from an Apprehenfion in thofe with whom he converfes, that a Check would but increafe the Evil; and, like, curbing a hard-mouthed Horfe, ferve only to make him run. the fafter: From whence the Perfon in fault is often rivetted in his Error, by miftaking a filent Contempt for profound Attention,...
Página 46 - Before the sparkling lamps on high Were kindled up, and hung around the sky! Before the sun led on the circling hours, Or vital seeds produced their active powers, Before the first intelligences strung Their golden harps, and soft preludiums sung To Love, the mighty cause whence their existence sprung, Th' ineffable DIVINITY, His own resemblance meets in thee.
Página 48 - Artificial Teeth, set in so firm as to eat with them, and so exact, as not to be distinguishable from natural. They are not to be taken out at night, as is by some falsely suggested, but may be worn years together ; yet they are so fitted, that they may be taken...
Página 48 - Person who wears them at pleasure, and are an Ornament to the Mouth, and greatly help the Speech : Also Teeth are cleaned and drawn by Samuel Butter and William Green, Operators, who apply themselves wholly to the said Business, and live in Racquet Court, Fleet Street, London.
Página 31 - She gives in large recruits of needful pride ; For as in bodies, thus in fouls, we find What wants in blood and fpirits, fwelFd with wind : Pride, where Wit fails, fteps in to our defence, And fills up all the mighty void of fenfe...
Página 1 - Containing Many Useful and Entertaining Particulars. Peculiarly Adapted to the ingenious Gentlemen engaged in the delightful Study and Practice of the Mathematics".
Página 47 - When they are all dipped, well fcoured with foap, and cleanfed from the tallow, let them be weighed, (or they may be all weighed, before dipping) and fay, as the weight of them, all in pounds is to. the late-found fuperficies of them all in fquare inch...
Página 18 - A fharp accufer, but a helplefs friend! Or from a judge turn pleader, to perfuade The choice we make, or juftify it made ; Proud of an eafy conqueft all along, She but removes weak paffions for the ftrong, So, when fmall humours gather to a gout, The doftor fancies he has driv'n them out.