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
... geometrical relation . For example , if I compare 12 to 3 to know how many times 12 contains 3 , the number 4 , which ex- presses the number of times , is the geometrical ratio of 12 to 3 . To show that we compare two quantities in this ...
... geometrical relation . For example , if I compare 12 to 3 to know how many times 12 contains 3 , the number 4 , which ex- presses the number of times , is the geometrical ratio of 12 to 3 . To show that we compare two quantities in this ...
Σελίδα 129
... geometrical ratio is not changed when we multiply or when we divide each of its two terms by the same number ; for the geometrical ratio consisting ( 168 ) in the quotient of the division of the antecedent by the consequent , is a frac ...
... geometrical ratio is not changed when we multiply or when we divide each of its two terms by the same number ; for the geometrical ratio consisting ( 168 ) in the quotient of the division of the antecedent by the consequent , is a frac ...
Σελίδα 130
... geometrical pro- portion , because 3 is contained in 15 , as 4 is contained in 20 . + To signify that they are in geometrical proportion , we write them thus , 3 : 15 :: 4:20 , that is to say , we separate the two terms of each ratio by ...
... geometrical pro- portion , because 3 is contained in 15 , as 4 is contained in 20 . + To signify that they are in geometrical proportion , we write them thus , 3 : 15 :: 4:20 , that is to say , we separate the two terms of each ratio by ...
Σελίδα 131
... geometrical proportion you multiply each of the two consequents by the ratio , you will in like manner render each equal to its antecedent : for , to multiply the conse- quent by the ratio , is to take it as many times as it is con ...
... geometrical proportion you multiply each of the two consequents by the ratio , you will in like manner render each equal to its antecedent : for , to multiply the conse- quent by the ratio , is to take it as many times as it is con ...
Σελίδα 133
... GEOMETRICAL PROPORTION . 178. The fundamental property of the geometrical pro- portion is that the product of the extremes is equal to the pro- duct of the means ; for example , in this proportion 3 : 15 :: 7 : 7:35 , the product of 35 ...
... GEOMETRICAL PROPORTION . 178. The fundamental property of the geometrical pro- portion is that the product of the extremes is equal to the pro- duct of the means ; for example , in this proportion 3 : 15 :: 7 : 7:35 , the product of 35 ...
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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.