A Course of Mathematics: In Two Volumes. Composed for the Use of the Royal Military Academy, Volume 1Longman, Orme & Company, 1841 - Mathematics |
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Page 2
... 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 ...
... 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
... 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 ...
... 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
... supposing he would take 1007 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 ...
... supposing he would take 1007 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
... 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 ...
... 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
... supposing 540l of her were insured ? Ans . S will lose 451 , T 90l , and V 2257 . 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 ...
... supposing 540l of her were insured ? Ans . S will lose 451 , T 90l , and V 2257 . 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 ...
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Common terms and phrases
ABCD algebraic altitude arithmetical arithmetical progression base bisect breadth centre chord circle circumference coefficients common cone cosec cube root decimal denominator denoted diagonal diameter difference dihedral angle distance divided divisor draw drawn equal equation equiangular EXAMPLES expression figure fraction frustum geometrical given line greater hence inscribed integer intersection join length less lineation logarithms mantissa measure meeting method multiplied parallel parallel ruler parallelogram perpendicular plane polygon prism PROBLEM proportional quantity quotient radii radius ratio rectangle Reduce right angles rule Scholium segment sides sine solid angle solution square root straight line subtraction tangent THEOREM third trapezium triangle ABC u₁ vulgar fraction Whence