A Theoretical and Practical Arithmetic: In which the Principles of that Science are Clearly and Fully Explained; Being Intended as an Introduction to the Higher Branches of MathematicsS. Wood & sons, 1825 - 236 σελίδες |
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Σελίδα 128
... antecedent , and the second is called consequent . Thus in the ratio 12 : 3 , 12 is the antece- dent , and 3 is the consequent : both are called terms of the ratio . 166. To have the arithmetical relation of two quantities , there is ...
... antecedent , and the second is called consequent . Thus in the ratio 12 : 3 , 12 is the antece- dent , and 3 is the consequent : both are called terms of the ratio . 166. To have the arithmetical relation of two quantities , there is ...
Σελίδα 129
... antecedent by the consequent : thus the ratio of 12 to 3 is 4 , and the ratio of 3 to 12 is or 169. An arithınetical relation is not changed when we add to each of its two terms , or when we subtract from each the same quantity ...
... antecedent by the consequent : thus the ratio of 12 to 3 is 4 , and the ratio of 3 to 12 is or 169. An arithınetical relation is not changed when we add to each of its two terms , or when we subtract from each the same quantity ...
Σελίδα 130
... antecedents , or if we subtract from each the differ- ence or ratio which reigns in this proportion , according as the antecedent shall be less or greater than its consequent , cach antecedent will become equal to its consequent ; for ...
... antecedents , or if we subtract from each the differ- ence or ratio which reigns in this proportion , according as the antecedent shall be less or greater than its consequent , cach antecedent will become equal to its consequent ; for ...
Σελίδα 131
... antecedent : for , to multiply the conse- quent by the ratio , is to take it as many times as it is con- tained in the antecedent : thus in the proportion 12 : 3 :: 20 : 5 , multiply 3 and 5 each by 4 , and you will have 12 : 12 :: 20 ...
... antecedent : for , to multiply the conse- quent by the ratio , is to take it as many times as it is con- tained in the antecedent : thus in the proportion 12 : 3 :: 20 : 5 , multiply 3 and 5 each by 4 , and you will have 12 : 12 :: 20 ...
Σελίδα 133
... antecedents were equal to the consequents , as in this proportion , 3 : 3 :: 7 : 7 it is evident that the product of the extremes would be equal to the product of the means . But we can always bring a proportion to this state ( 175 ) in ...
... antecedents were equal to the consequents , as in this proportion , 3 : 3 :: 7 : 7 it is evident that the product of the extremes would be equal to the product of the means . But we can always bring a proportion to this state ( 175 ) in ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
adding answers antecedents arithmetical complement arithmetical means arithmetical progression arithmetical proportion borrow bushels called ciphers column comma commence composed compound numbers consequently contain the divisor cube root decimals denominator difference divide division example expressed extremes is equal feet four numbers four quantities fourth term fraction gallons geometrical means geometrical progression geometrical proportion given numbers gives greater greatest common divisor hundred hundredth inches kind last figure last term Lastly least common multiple manner method minus multi multiplicand nine number consisting number of tens operation partial dividend payments pence perform pounds preceding principal unit principle proposed logarithm proposed number question quotient ratio reduce remainder Rule of Three separate shillings signifies square root square yard subtract the product supposition suppress take the half tenths third thousand thousandths tion twice unit figure whole numbers
Δημοφιλή αποσπάσματα
Σελίδα 89 - ... 3 quarters, 1 ell Flemish, - - E. Fl 5 quarters, ------ 1 ell English, - - EE 6 quarters, ------ 1 ell French, - - E. Fr 27.
Σελίδα 2 - Congress of the United States, entitled "an act for the encouragement of learning, by securing the copies of maps, charts, and books, to the authors and proprietors of such copies, during the time therein mentioned." And also to an act entitled "an act supplementary to an act entitled an act for the encouragement of learning, by securing the copies of maps, charts, and books, to the authors and proprietors of such copies, during the times therein mentioned, and extending the benefits thereof to the...
Σελίδα 102 - Which proves that the square of a number composed of tens and units contains, the square of the tens plus twice the product of the tens by the units, plus the square of the units.
Σελίδα 89 - TABLE. 60 seconds (") make 1 minute, '. 60 minutes " 1 degree, . . . °. 30 degrees
Σελίδα 87 - APOTHECARIES WEIGHT. 20 grains gr. make - - 1 scruple, 9 3 scruples - . - 1 drachm...
Σελίδα 89 - TABL.E. 60 seconds (s.) - make - 1 minute, marked m. 60 minutes ------ 1 hour, - - - - h. 24 hours -------1 day, - - - - d. 7 days ------- 1 week, - - - - w. 4 weeks ------ 1 month, - - - - mo 13 months, 1 day and 6 hours, ) 1 common, or > or 365 days and 6 hours, ) Julian year, j IT 37.
Σελίδα 229 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Σελίδα 197 - If the errors are alike, divide the difference of tire products by the difference of the errors, and the quotient will be the answer. 5. If the errors are unlike, divide the sum of the products by the sum of the errors, and the quotient will be the answer.
Σελίδα 155 - That is, the sum of the terms of an arithmetical progression is equal to half the sum of the two extremes multiplied by the number of terms.
Σελίδα 89 - ... gallons .... 1 barrel . . bar. 42 gallons .... 1 tierce . . tier. 63 gallons .... 1 hogshead . hhd. 84 gallons .... 1 puncheon . pun. 2 hogsheads ... 1 pipe, or butt.