## 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 algebraic angle applying base cent circle clearing of fractions co-efficient combining contain denote the number determine difference digits dividing dividing both members division drawn eliminating equal equation EXAMPLES Explain expressed extracting factor figures find the values find x formula gallons Given gives greater hence hour inscribed known language length Let x denote letters limit meaning member to member merely miles minus minute Multiplying both members number of dollars performed perpendicular person piece points polynomial positive pounds principles problem progression Prop quantity received remaining result rule share shillings sides solution square root squaring both members substituting subtracting taken third transposing and reducing travelled twice unit upper sign variations whence worth yards zero

### 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.