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A Compendious Course of Mathematics, theoretical and practical
John Radford YOUNG
Πλήρης προβολή - 1855
A Compendious Course of Mathematics, Theoretical and Practical
John Radford Young
Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016
added addition algebra amount annuity applied arc BC arc or angle arith arithmetical arithmetical means arithmetical progression arithmetical series base binomial theorem called cent circle coefficients common Completing the square compound interest computed consequently convergent cos4 cosine course decimals deduced denominator difference divided divisor equal Examples for Exercise exponent expression factors foregoing former formula fourth gallons geometrical geometrical progression given side hence improper fraction infinite leading term least common multiple length letters logarithms minus multiplied namely negative number of shot number of terms numerical value operation permutations preceding proportion proposed quadratic equation quotient radical sign radius ratio remainder result right-angled triangle rule secant simple equation sin4 sine and cosine solution solved square root subtends subtracting sufficient Suppose surd symbols tables taken tangent things third tion Transposing trigono trigonometrical lines unknown quantities vinculum whole number write
Σελίδα 150 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Σελίδα 70 - When any number of quantities are proportionals, as one antecedent is to its consequent, so is the sum of all the antecedents to the sum of all the consequents.
Σελίδα 55 - 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. A 14ff days, B 17ff, and C 23J y . 21.
Σελίδα 69 - This word is used when there are four proportionals, and it is inferred that the first has the same ratio to the third which the second has to the fourth ; or that the first is to the third as the second to the fourth : as is shown in Prop.
Σελίδα 69 - Componendo, by composition ; when there are four proportionals, and it is inferred that the first together with the second, is to the second, as the third together with the fourth, is to the fourth.
Σελίδα 73 - Add all the extremes together and multiply their sum by half the number of terms, the product will be the sum of the series. Q. How do you find the sum of an arithmetical series ? EXAMPLES. 1. The extremes are 2 and 100, and the number of terms 22 : what is the sum of the series ? OPERATION.
Σελίδα 133 - Circumference of every circle is conceived to be divided into 360 equal parts called degrees, each degree into 60 equal parts called minutes, and each minute into 60 equal parts called seconds. Degrees, minutes, and seconds, are denoted thus 25° 30
Σελίδα 158 - Hence, the area of a parallelogram is equal to the product of any two contiguous sides multiplied by the sine of the contained angle, radius being unity.