Key to Davies' Bourdon: With Many Additional Examples, Illustrating the Algebraic Analysis; Also, a Solution of All the Difficult Examples in Davies' Legendre |
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Key to Davies' Bourdon: With Many Additional Examples, Illustrating the ... Charles Davies,M 1779-1854 Bourdon No preview available - 2016 |
Key to Davies' Bourdon, with Many Additional Examples, Illustrating the ... Charles Davies,M 1779-1854 Bourdon No preview available - 2016 |
Common terms and phrases
4th power adding angle arithmetical progression clearing of fractions co-efficient combining and eliminating common difference common divisor cube denote the number denote the quantity derived polynomial Divide the number dividing both members equal equation x5 extracting the square factor find the values find x fractions and reducing geometrical progression given equation greatest common divisor hence Let ABC Let x denote member from member member to member members and reducing Multiplying both members number of days number of dollars number of gallons number of miles number of shillings order of diffs performing indicated operations perpendicular problem real roots right-angled triangle rule square root squaring both members substituting and reducing substituting this value subtracting superior limit taking the upper three numbers transposing and reducing upper sign variations whence X₁
Popular passages
Page 93 - What two numbers are those whose sum, multiplied by the greater, is equal to 77 ; and whose difference, multiplied by the lesser, is equal to 12 ? Ans.
Page 156 - IN a Triangle, having given the Base, the Sum of the other two Sides, and the Length of a Line drawn from the Vertical Angle to the Middle of the Base ; to find the Sides of the Triangle.
Page 48 - A person has two horses, and a saddle worth £50 ; now, if the saddle be put on the back of the first horse, it will make his value double that of the second ; but if it be put on the back of the second, it will make his value triple that of the first ; what is the value of each horse ? Ans.
Page 157 - In a triangle, having given the base, the sum of the other two sides, and the length of a line drawn from the vertical angle to the middle of the base ; to find the sides of the triangle. PROBLEM XI.
Page 75 - To find a number, such that if you subtract it from 10, and multiply the remainder by the number itself, the product shall be 21. Ans. 7 or 3.
Page 52 - Ans. 20 days. 20. 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.
Page 39 - Two persons, A and B, lay out equal sums of money in trade ; A gains $126, and B loses $87, and A's money is now double of B's : what did each lay out ? Ans. $300.
Page 50 - To divide the number 90 into four such parts, that if the first be increased by 2, the second diminished by 2, the third multiplied by 2, and the fourth divided by 2, the sum, difference, product, and quotient so obtained, will be all equal to each other.
Page 91 - The sum of two numbers is 8, and the sum of their cubes is 152. What are the numbers ? Ans.
Page 51 - A man and his wife usually drank out a cask of beer in 12 days ; but when the man was from home, it lasted the woman 30 days ; how many days would the man alone be in drinking it ? Ans.