Evolution: or The power, and operation of numbers, in the statement, the calculation, the distribution, and the arrangement of quantitiesLongman, Rees, Orme, Brown, Green and Longman, 1835 - 160 σελίδες |
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Σελίδα 8
... . For the present we will take the geometrical series before given , and here repeated : that is , 5 , 15 , 45 , 135 , 405 , 1215 , 3645 . You observe , here are seven terms , of which 8 OF PROGRESSION AND PROPORTION ,
... . For the present we will take the geometrical series before given , and here repeated : that is , 5 , 15 , 45 , 135 , 405 , 1215 , 3645 . You observe , here are seven terms , of which 8 OF PROGRESSION AND PROPORTION ,
Σελίδα 9
Thomas Smith (of Liverpool.) You observe , here are seven terms , of which 135 is the middle term . Now , amongst the properties of these numbers we find these : that the product of the middle term multiplied into itself , is equal to ...
Thomas Smith (of Liverpool.) You observe , here are seven terms , of which 135 is the middle term . Now , amongst the properties of these numbers we find these : that the product of the middle term multiplied into itself , is equal to ...
Σελίδα 10
... seven times , as large as their respective antecedents : as , to turn our attention again to the two couplets last cited , whilst 135 is twenty - seven times as much as 5 , so 1215 is , also , twenty - seven times as much as 45. And ...
... seven times , as large as their respective antecedents : as , to turn our attention again to the two couplets last cited , whilst 135 is twenty - seven times as much as 5 , so 1215 is , also , twenty - seven times as much as 45. And ...
Σελίδα 11
... seven being the rate of increase , is called the RATE , or more learnedly , the RATIO , of the proportion subsisting between the two couplets of terms . Again , the pro- portion may be spoken of in the contrary mode , the terms being ...
... seven being the rate of increase , is called the RATE , or more learnedly , the RATIO , of the proportion subsisting between the two couplets of terms . Again , the pro- portion may be spoken of in the contrary mode , the terms being ...
Σελίδα 16
... seven pounds and a quarter , then , this " quarter " is also a fraction : only observe , that , meaning , as it would , a quarter of a pound , so it would be called a fraction of a pound , whilst the other means a fraction of an ounce ...
... seven pounds and a quarter , then , this " quarter " is also a fraction : only observe , that , meaning , as it would , a quarter of a pound , so it would be called a fraction of a pound , whilst the other means a fraction of an ounce ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
40 inches addition annex ARTICLE breadth bushels called ciphers contain cube numbers cube root cubic foot cubic inches decimal expression decimal figures decimal point denominator described dimensions dividend divisor enlarge equal example extract the cube feet fifth foot foregoing four frac gallons geometrical given number improper fraction inch broad inch cubes inches long increase integer involution larger number layers length logarithm long division manner mark matter measure merators metic middle term mode multiplied number of figures observe operation paragraph parallelograms primary cube principle prisms proceed proper fraction purpose quantity quarters quotient ratio RECURRING decimals reduced remainder roots of numbers rule second power series of numbers sides small numbers small squares smaller square inch square number square root step subtract Subtrahend suppose Tables tenths thickness third power three figures tion twelfth vulgar fractions whilst whole number write yards
Δημοφιλή αποσπάσματα
Σελίδα 157 - The goods are to be heaped up in the form of a cone, to a height above the rim of the measure of at least a of its depth.
Σελίδα 157 - ... of its depth. The outside diameter of Measures used for heaped goods are to be at least double the depth, consequently not less than the following dimensions : — Bushel, 19± inches I Peck, 12± inches Half-bush.
Σελίδα 14 - ... the same proportion to the third as the second does to the first. The thing we have first to do is, to discover the ratio between the first and second terms, in order to...
Σελίδα 15 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.
Σελίδα 157 - Measures, described in the second and third Divisions, were established by Act 5 Geo. IV. c. 74. Before that time there were four different measures of capacity used in England. — 1. For wine, spirits, cider, oils, milk, &c. ; this was one-sixth less than the Imperial Measure. 2. For malt liquor, thi»was J, i*art greater than the Imperial Measure. 3. For corn, and all other dry goods not heaped» this was _i_ part less than the Imperial Measure.
Σελίδα 159 - LESSONS on ARITHMETIC, in Principle and in Practice, for the Instruction of Youth of both Sexes; and more especially for that of young Merchants, Tradesmen, Ssamen, Mechanics, and Farmers. By THOMAS SMITH. London : Sherwood, Gilbert, and Co.; and Longman, Rees, auel Co. THE "AMERICAN STOVES
Σελίδα 15 - N the principle now explained, we can, in any affairs of business, ascertain the amount of an unknown quantity, by knowing the amount of other three quantities, which, with the unknown quantity, bear a proportional relation. The word quantity is here used, but any sum of money is also meant.
Σελίδα 111 - Pythagoras , that the square of the hypothenuse is equal to the squares of the other two sides of a right angled triangle.
Σελίδα 56 - ... 27, which is the number of cubic feet in a cubic yard.