Mathematics: Compiled from the Best Authors and Intended to be the Text-book of the Course of Private Lectures on These Sciences in the University at Cambridge, Volume 1 |
From inside the book
Results 1-5 of 27
Page 19
... means the greater number is resolved into such parts , as are each greater than , or equal to , the similar parts of the less and the difference of the corresponding figures , taken together , will evidently make up the difference of ...
... means the greater number is resolved into such parts , as are each greater than , or equal to , the similar parts of the less and the difference of the corresponding figures , taken together , will evidently make up the difference of ...
Page 98
... means , each product will be equally increased , and consequently every four places will con- tinue alike . And the same will hold for any other number what- ever . Now hence it appears , that the dividend may be altered at pleasure ...
... means , each product will be equally increased , and consequently every four places will con- tinue alike . And the same will hold for any other number what- ever . Now hence it appears , that the dividend may be altered at pleasure ...
Page 104
... means . Thus of 2 46 .. 8 the sum of the extremes ( 2 + 8 ) = the sum of the means ( 4 + 6 ) = 10 . Therefore , of three arithmet- ical proportionals , the sum of the extremes is double the .. mean . Of four geometrical proportionals ...
... means . Thus of 2 46 .. 8 the sum of the extremes ( 2 + 8 ) = the sum of the means ( 4 + 6 ) = 10 . Therefore , of three arithmet- ical proportionals , the sum of the extremes is double the .. mean . Of four geometrical proportionals ...
Page 105
... mean is equal to the product of the extremes divided by the other mean . SIMPLE PROPORTION , OR RULE OF THREE . The Rule of Three is that , by which a number is found , having to a given number the same ratio , which is between two ...
... mean is equal to the product of the extremes divided by the other mean . SIMPLE PROPORTION , OR RULE OF THREE . The Rule of Three is that , by which a number is found , having to a given number the same ratio , which is between two ...
Page 106
... means ; hence , if the pro- duct of two numbers be equal to the product of two other num- bers , the four numbers are proportionals ; and if the product of two numbers be divided by a third , the quotient will be a fourth proportional ...
... means ; hence , if the pro- duct of two numbers be equal to the product of two other num- bers , the four numbers are proportionals ; and if the product of two numbers be divided by a third , the quotient will be a fourth proportional ...
Contents
182 | |
188 | |
195 | |
202 | |
209 | |
263 | |
269 | |
277 | |
93 | |
99 | |
105 | |
118 | |
125 | |
131 | |
137 | |
147 | |
155 | |
168 | |
175 | |
289 | |
308 | |
326 | |
333 | |
339 | |
354 | |
370 | |
381 | |
392 | |
420 | |
Other editions - View all
Common terms and phrases
2qrs angle annuity annum arithmetical bushel called carats cent centre circle circumference coefficient common denominator completing the square compound interest cube root cyphers decimal denoted discount Divide dividend division divisor draw equal equation EXAMPLES exponent farthings figures find the value fourth gallons geometrical progression geometrical series give given Line given number greater greatest common measure improper fraction integers least common multiple less number logarithm manner multiplicand Multiply negative NOTE number of terms number of things payment perpendicular pound present worth PROBLEM PROBLEM proportion quotient radius ratio Reduce remainder repetend required to find shews shillings sides simple interest square root subtract Suppose surd taken tare third triangle TROY WEIGHT unknown quantity vulgar fraction Whence whole number yards ΙΟ
Popular passages
Page 352 - If A and B together can perform a piece of work in 8 days, A and C together in 9 days, and B and C in 10 days : how many days would it take each person to perform the same work alone ? Ans.
Page 54 - In the same manner multiply all the multiplicand by the inches, or second denomination, in the multiplier) and set the result of each term one place removed to the right 'hand of those in the multiplicand.
Page 136 - As the sum of the several products, Is to the whole gain or loss : So is each man's particular product, To his particular share of the gain or low. EXAMPLES. 1. A, B and C hold a pasture in common, for which they pay 197.
Page 379 - A point is a dimensionless figure ; or an indivisible part of space. A line is a point continued, and a figure of one capacity, namely, length. A superficies is a figure of two dimensions, namely, length and breadth. A solid is a figure of three dimensions, namely, length, breadth, and thickness.
Page 166 - The first term, the last term, and the number of terms given, to find the sum of all the terms. RULE.* — Multiply the sum of the extremes by the number of terms, and half the product will be the answer.
Page 127 - ... have to their consequents, the proportion between the first antecedent and the last consequent is discovered, as well as the proportion between the others in their several respects.
Page 350 - B's, and B's is triple of C's, and the sum of all their ages is 140. What is the age of each ? Ans. A's =84, B's =42, and C's =14.
Page 388 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees; and each degree into 60 minutes, each minute into 60 seconds, and so on.
Page 244 - Briggs' logarithm of the number N ; so that the common logarithm of any number 10" or N is n, the index of that power of 10 which is equal to the said number. Thus, 100, being the second power of 10, will have 2 for its logarithm ; and 1000, being the third power of 10, will have 3 for its logarithm. Hence, also, if 50 = 101-00*7, then is 1.69897 the common logarithm of 50.
Page 168 - Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference.