## A Course of Mathematics: In Two Volumes. Composed for the Use of the Royal Military Academy, Volume 1Longman, Orme & Company, 1841 - Mathematics |

### From inside the book

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**supposing**the thing to be done , and then reason- ing back , step by step , till we arrive at some known truth . This is also called the Method of Invention , or Resolution ; and is that which is commonly used in Algebra . 21. Synthesis ... Page 27

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**supposing**it to be 25000 miles ? Ans . 4752000000 . 11. How many seconds are in a solar year , or 365 days 5 hrs 48 min 45 sec ? Ans . 31556925 . 12. In a lunar month , or 29 days 12 hrs 44 min 3 sec , how many seconds ? Ans . 2551443 ... Page 28

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**supposing**he would take 100l with him , to defray his charges on the road , for what sum must he send to his banker ? Ans . 8301 14s 6d . 10. The strength of a regiment of foot , of 10 companies , and the amount of their subsistence ... Page 38

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**supposing**these things delivered to his creditors , how much will they get per pound ? Ans . 8s 74d . 19. A plain of a certain extent having supplied a body of 3000 horse with forage for 18 days ; then how many days would the same plain ... Page 84

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**supposing**540l of her were insured ? Ans . S will lose 45l , T 90l , and V 2251 . 9. Four persons , W , X , Y , and Z , spend among them 25s , and agree that W shall pay of it , X , Y , and Z ; that is , their shares are to be in ...### Other editions - View all

### Common terms and phrases

a₁ ABCD algebraic annum arithmetical arithmetical progression base bisect centre circle circumference coefficients common difference compound compound interest cosec cube root decimal denominator denote diagonal diameter distance divided dividend division divisor draw drawn equal equiangular EXAMPLES expression factors figure fraction geometrical geometrical progression given number greater hence inscribed integer intersection least common multiple length less lineation logarithms method Multiply number of terms parallel parallel ruler parallelogram perpendicular plane polygon prism PROBLEM proportional quantity quotient radius ratio rectangle Reduce remainder result right angles rule Scholium sides signs solution square root straight line subtract tangent THEOREM third triangle ABC vulgar fraction Whence whole yards