## A compendious course of mathematics, theoretical and practical |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Other editions - View all

A Compendious Course of Mathematics, Theoretical and Practical John Radford Young No preview available - 2016 |

A Compendious Course of Mathematics, Theoretical and Practical John Radford Young No preview available - 2013 |

### Common terms and phrases

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

### Popular passages

Page 150 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.

Page 78 - If the number be divided by the sum of the digits, the quotient will be 26; but, if 198 be added to it, the digits will be inverted.

Page 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.

Page 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.

Page 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.

Page 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.

Page 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.

Page 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

Page 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.

Page 26 - The square of the sum of two numbers is equal to the square of the first number plus twice the product of the first and second number plus the square of the second number.