## 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

adding arithmetical progression cask cent clearing of fractions co-efficient combining and eliminating denote the number denote the quantity difference digits Divide the number dividing both members equal equation whose roots equations Art expressed extracting the square find the values find x fractions and reducing given equation Given x2 greatest common divisor hence inscribed circle Let ABC Let ACB Let x denote lines drawn member from member member to member members and reducing minus sign moidores Multiplying both members number of days number of dollars number of gallons number of miles number of pence number of pounds number of shillings performing indicated operations perpendicular problem Prop quan real roots right-angled triangle rule SIMULTANEOUS EQUATIONS solution square root squaring both members substituting this value subtracting taking the upper three numbers transposing and reducing upper sign variations whence

### Popular passages

Page 188 - 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 201 - To determine a Triangle ; having given the Lengths of three Lines drawn from the three Angles, to the Middle of the opposite Sides.

Page 91 - 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 92 - It is required to divide the number 24 into two such parts, that their product may be equal to 35 times their difference. Ans. 10 and 14.

Page 74 - A company at a tavern had <£8 15s. to pay for their reckoning; but, before the bill was settled, two of them left the room, and then those who remained had 10s. apiece more to pay than before. How many were there in company ? Ans.

Page 46 - 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 72 - What number is that, which, being divided by the product of its digits, the quotient is 3 ; and if 18 be added to it, the digits will be inverted ? Ans.

Page 37 - 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 49 - 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.

Page 187 - In a triangle, having given the ratio of the two sides, together with both the segments of the base made by a perpendicular from the vertical angle ; to determine the triangle.