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Seite 168 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Seite 309 - The conviction of a truth may be irresistible, and yet not immediate. Thus, my conviction that the three angles of every plain triangle are equal to two right angles, is irresistible, but it is not immediate ; I am convinced of it by demonstrative reasoning. There are other truths in mathematics of which we have not only an irresistible but an immediate conviction. Such are the axioms. Our belief of the axioms in mathematics is not grounded upon argument — arguments...
Seite 98 - If 2 men can do 12 rods of ditching in 6 days ; how many rods may be done by 8 men in 24 days ? Ans.
Seite 48 - FRACTIONS, or broken numbers, are expressions for any assignable parts of an unit ; and are represented by two numbers, placed one above the other, with a line drawn between them. The number above the line is called the numerator, and that below the line the denominator.
Seite 81 - Year, and fo on from Year to Year until the End of the Time, allowing the Increafc to be but in a ten-fold Proportion. It is required to find the Sum of the whole Produce.
Seite 254 - Penfions, &c. are faid to be in Arrears, •** when they are payable or due, either Yearly, or Half-yearly) &c.
Seite 114 - The particular Rates of all the Ingredients propofed to be mixed, the Mean Rate of the whole Mixture, and any one .of the Quantities to be mixed being given: Thence to find how much of every one of the other Ingredients is requifite to compofe the Mixture. Note, This is ufually called Alligation Partial.
Seite 286 - tis 5 to 4, that one of 26 years old will die before one of 16 ; and 6 to 5 that one of 36 will die before one of 26 ; and 3 to 2, that the same person of 36 shall die before him of 16 : And so forward according to the Roots...