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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... increased , or diminished ; and each letter may represent any quantity at pleasure . But , generally , the first letters in the alphabet , a , b , c , d , & c . are used to fignify quantities , the value whereof is known ; and the ...
... increased , or diminished ; and each letter may represent any quantity at pleasure . But , generally , the first letters in the alphabet , a , b , c , d , & c . are used to fignify quantities , the value whereof is known ; and the ...
Page 12
... increase till the indices of the two letters a and b become equal or change values ; then they return or decrease again in the fame order : thus , having the coefficients of half the terms , the reft are known . Evolution ; or , to ...
... increase till the indices of the two letters a and b become equal or change values ; then they return or decrease again in the fame order : thus , having the coefficients of half the terms , the reft are known . Evolution ; or , to ...
Page 31
... increases , decreases , therefore 163 is the greater limit ; wherefore s is lefs than 162 . If = then 5y = 67 and y + 133 . Now if x be supposed to increase , y will decrease ; and therefore 133 is the greater limit of y ; whence y is ...
... increases , decreases , therefore 163 is the greater limit ; wherefore s is lefs than 162 . If = then 5y = 67 and y + 133 . Now if x be supposed to increase , y will decrease ; and therefore 133 is the greater limit of y ; whence y is ...
Page 69
... increased by its intereft for a year , and the quotient will be the answer , or the money which ought to be given in a fingle present payment : and this payment divided by the value of the life , will quote the fum that ought to be paid ...
... increased by its intereft for a year , and the quotient will be the answer , or the money which ought to be given in a fingle present payment : and this payment divided by the value of the life , will quote the fum that ought to be paid ...
Page 71
... increased by unity . Therefore , an affurance of an estate or annuity , after any given life or lives , is worth as much more than the affurance of a corre- fponding fum , as 100l . tncreafed by its intereft for a year , is greater 1 ...
... increased by unity . Therefore , an affurance of an estate or annuity , after any given life or lives , is worth as much more than the affurance of a corre- fponding fum , as 100l . tncreafed by its intereft for a year , is greater 1 ...
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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 Atlantic Ocean atmoſphere axis barrel becauſe body cafe centre Chriftian circle cofine colours confequently confifts crayons degrees north latitude diameter diſcovered diſtance Ditto divided divifion eaft Earth eaſt ecliptic electric fluid equal equation faid fame fecond feven feveral fhould fide fign filk firft firſt fituated fixed fmall foil folar fome fouth fquare ftar ftrokes fubtract fuch fufficient furface glafs glaſs globe greateſt inches increaſe inftrument intereft interfect iſlands Jupiter latitude lefs logarithm longitude meaſured mercury meridian miles minutes Moon moſt motion multiplied muſt neceffary obferved Ocean oppofite orbit perfons pipe planet plate prefent preffure pump quantity radius raiſed religion reprefent rife round Ruffia ſcale ſeveral ſmall ſpace ſquare ſtand ſtar ſtate tangent thefe theſe thofe thoſe triangle tube uſed varniſh weft weft longitude weight wire
Popular passages
Page 180 - When there is a vacancy in the government, every foldier in the army has a vote in choofinga new emperor, which is often attended with great bloodfhed. The parts of Africa, from the tropic of Cancer to the Cape of Good Hope, are very little known, except
Page 344 - of them that weigh equally in air, and noting the weight loft by each. 11. A body defcends in a fluid that is fpecifically lighter, but afcends in a fluid that is fpecifically heavier, with a force equal to the difference between its weight and the weight of an equal bulk of the fluid.
Page 29 - in the numerator of the fraction, and divide the product by the denominator; then the remainder will be the true value of x required, provided the number of terms in the upper line be even, and the
Page 10 - Quantities equal in Value, and having one given Index. RULE. Divide the indices of the quantities by the given index, and the quotients will be the new indices of thofe quantities. Then over the faid quantities with their new indices place the given index, and they will be the equivalent values required. EXAMPLE. Let iai, and
Page 10 - To reduce a rational Quantity to the Form of a Surd. RULE. Multiply the index of the quantity by the index of the furd, and over the product place the radical fign, and it will be the form required. Thus, let 3 be reduced to the form of
Page 344 - A body finks in a fluid that is fpecifically heavier, fo far, as that the weight of the body is equal to the weight of a quantity of the fluid of the fame bulk as the part of the body which is immerfed
Page 76 - &c. To perform divifion by logarithms, fubtraft the logarithm of the divifor from the logarithm of the dividend, and the remainder will be the logarithm of the quotient, firft changing the fign of the logarithm of the index of the divifor, and if they be of different
Page 276 - round. Then if the circumference of the circle described by the handle of the winch A be equal to the circumference of a groove round the wheel D, the velocity of the handle will be 48 times as great as the velocity of any given point in the groove;
Page 220 - preferve the fame figure; for though the orbit of the Moon be an ellipfe, having the Earth in one of her foci thereof; yet the eccentricity is fometimes greater than at other times. ' The plane of the Moon's orbit is inclined to that of the ecliptic, in an angle
Page 72 - of their logarithms. Alfo a number may be raifed to any power by multiplying the logarithm of the root by the index of the power: and the extraction of roots may be performed by dividing the logarithm of the given number by the index of the root required to be extracted. Logarithms confidered in their theory, are of very ancient origin, and were