The Accomplished Tutor; Or, Complete System of Liberal Education:: Containing the Most Improved Theory and Practice of the Following Subjects: 1. English Grammar, and Elocution. 2. Penmanship, and Short Hand. 3. Arithmetic, Vulgar and Decimal ... 18. Drawing, Engraving, and Painting. And Other Useful Matter. Embellished with Twenty Copper-plates and Six Maps, Neatly Engraved, Volume 2H. D. Symonds, Paternoster Row; and Vernor, Hood, and Sharpe, Poultry., 1806 - Arithmetic - 458 pages |
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Page 8
... answer in the quotient ; annexing thereto thofe letters in the dividend , which are not found in the divifor : obferving that like figns produce + , and unlike figns - . 2. But if the quantities be compound , divide the first term of ...
... answer in the quotient ; annexing thereto thofe letters in the dividend , which are not found in the divifor : obferving that like figns produce + , and unlike figns - . 2. But if the quantities be compound , divide the first term of ...
Page 11
... answer will be obtained by repla- cing , instead of the substituted term , the proper value . Thus , if it be required to raise b - c + def + g to the fourth power , for the terms b - c + d - ef , substitute the term a , then the ...
... answer will be obtained by repla- cing , instead of the substituted term , the proper value . Thus , if it be required to raise b - c + def + g to the fourth power , for the terms b - c + d - ef , substitute the term a , then the ...
Page 24
... answer . In the multiplication of the roots of fuch equations , the coefficient of the second term is the fum of all the roots with contrary fines ; the coefficient in the third term is equal to the fum of the rectangles of thofe roots ...
... answer . In the multiplication of the roots of fuch equations , the coefficient of the second term is the fum of all the roots with contrary fines ; the coefficient in the third term is equal to the fum of the rectangles of thofe roots ...
Page 29
... answer true to eleven figures . But when five or fix figures of the root have been obtained , and more exactness is still required , it will fhorten the work to seek a correction for v , instead of one for the whole root , which may be ...
... answer true to eleven figures . But when five or fix figures of the root have been obtained , and more exactness is still required , it will fhorten the work to seek a correction for v , instead of one for the whole root , which may be ...
Page 33
... answer . Operation . The given fraction ax + b_71x + 10 71 ) 89 ( 1 18 ) 71 ( 3 17 ) 18 ( 1 = C 89 I 1.3.1 Total quotients 1.1.4.5 10 = 6 50 Product . Here , if the product 50 be divided by 89 , the remainder is 50 the least value of x ...
... answer . Operation . The given fraction ax + b_71x + 10 71 ) 89 ( 1 18 ) 71 ( 3 17 ) 18 ( 1 = C 89 I 1.3.1 Total quotients 1.1.4.5 10 = 6 50 Product . Here , if the product 50 be divided by 89 , the remainder is 50 the least value of x ...
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The Accomplished Tutor: Or, Complete System of Liberal Education: Containing ... Thomas Hodson No preview available - 2016 |
The Accomplished Tutor: Or, Complete System of Liberal Education: Containing ... Thomas Hodson No preview available - 2016 |
Common terms and phrases
alfo alſo angle annuity anſwer Atlantic Ocean atmoſphere barrel becauſe body cafe centre cofine colours confequently confifts crayons cylinder defcend degrees diameter diſcovered diſtance divided divifion eaft Earth eaſt ecliptic electric fluid equal equation faid fame fecond feven fhades fhadow fhould fhow fide fign filk firft firſt fituated fixed fmall folar fome fouth fquare ftar ftrokes fubtract fuch fufficient fuppofed furface glafs glaſs globe gravity greateſt inches increaſe inftrument intereft interfect Jupiter lefs logarithm longitude meaſure mercury meridian miles Moon moſt motion multiplied muſt neceffary obferved oppofite orbit paffing parallax perfons pifton pipe planet plate pofition pounds prefent preffure proportion pump purpoſe quantity quickfilver radius raiſed repreſent rife root round Ruffia Saturn ſcale ſeveral ſmall ſpace ſquare ſtand ſtar ſteam tangent thefe theſe thofe thoſe tube ufed uſed valve varniſh veffel weft weight wire
Popular passages
Page 8 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 273 - The wedge is a very great mechanical power, since not only wood, but even rocks, can be split by it ; which it would be impossible to effect by the lever, wheel, and axle, or pulley ; for the force of the blow, or stroke, shakes the cohering parts, and thereby makes them separate more easily.
Page 267 - A lever of the fecond kind has the weight between the prop and the power. In this, as well as the former, the advantage gained is as the diftance of the power from the prop to the diftance of the weight from the prop : for the...
Page 321 - ... of its sails move against the air when it turns round. In each axle is a fine pin near the middle of the frame, which goes quite through the axle, and stands out a little on each side of it...
Page 328 - When foul weather happens soon after the falling of the mercury expect but little of it ; and on the contrary, expect but little fair weather when it proves fair shortly after the mercury has risen.
Page 275 - As the distance between the body to be raised, or balanced, and the fulcrum, or prop, is to the distance between the prop and the point where the power is applied, so is the power to the weight which it will balance.
Page 360 - The horizontal distance to which a fluid will spout from a horizontal pipe in any part of the side of an upright vessel, below the surface of the fluid, is equal to twice the length of a perpendicular to the side of the vessel, drawn from the mouth of the pipe to a semicircle described upon the altitude of the fluid : and therefore the...
Page 343 - He first established the truth that a body plunged in a fluid loses as much of its weight as is equal to the weight of an equal volume of the fluid it displaces.
Page 274 - If the line g, instead of going round the groove e of the wheel D, goes round its axle I, the power of the machine will be as much...
Page 323 - ... of the bladder be overcome by the weight of the air; and then it will break with a report as loud as that of a gun.— If a flat piece of glafs be laid upon the open top of this receiver, and joined to it by a flat ring of wet leather between them; upon pumping the air out of the receiver, the prefibre of the outward air upon the flat glafs will break it all to pieces.