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Side 21
... quotient . 59. Since the product of the numbers denoted by a and b is denoted by ab , the quotient of ab divided by a is b ; thus aba = b ; and also ab ÷ ba . Similarly , we have abc ÷ a = bc , abcbac , abc ÷ c = ab ; and also abc ÷ bca ...
... quotient . 59. Since the product of the numbers denoted by a and b is denoted by ab , the quotient of ab divided by a is b ; thus aba = b ; and also ab ÷ ba . Similarly , we have abc ÷ a = bc , abcbac , abc ÷ c = ab ; and also abc ÷ bca ...
Side 22
... more than one term , and the divisor contains only one term , we must divide each term of the dividend by the divisor , and then form the partial quotients to ob- tain the complete quotient . ab - cb Thus , b = a - c 22 DIVISION .
... more than one term , and the divisor contains only one term , we must divide each term of the dividend by the divisor , and then form the partial quotients to ob- tain the complete quotient . ab - cb Thus , b = a - c 22 DIVISION .
Side 23
... quotient ; and corresponding to the term - cb in the dividend and to the divisor b there is the term -c in the quotient . • We have already stated in Art . 49 , that the following results are admitted for the present , subject to future ...
... quotient ; and corresponding to the term - cb in the dividend and to the divisor b there is the term -c in the quotient . • We have already stated in Art . 49 , that the following results are admitted for the present , subject to future ...
Side 24
... quotient a - b . 67. It may happen , as in Arithmetic , that the division can- not be exactly performed . Thus , for example , if we divide a2 - 2ab + 2b2 by a - b , we shall obtain as before a -b in the quotient , and there will then ...
... quotient a - b . 67. It may happen , as in Arithmetic , that the division can- not be exactly performed . Thus , for example , if we divide a2 - 2ab + 2b2 by a - b , we shall obtain as before a -b in the quotient , and there will then ...
Side 25
... — 38ab3 + 24b * ( 4a2 — 5ab + 6b2 8a1- 12a3b + 16a2b2 - - 10a3b + 27a2b2 - 38ab3 - 10a3b + 15a2b2 - 20ab3 12a2b2-18ab3 + 24b1 12a2b2-18ab3 + 24b1 The quotient is 4a2 – 5ab + 6b2 . - Divide x3- ( a + b + c ) x2 DIVISION . 25.
... — 38ab3 + 24b * ( 4a2 — 5ab + 6b2 8a1- 12a3b + 16a2b2 - - 10a3b + 27a2b2 - 38ab3 - 10a3b + 15a2b2 - 20ab3 12a2b2-18ab3 + 24b1 12a2b2-18ab3 + 24b1 The quotient is 4a2 – 5ab + 6b2 . - Divide x3- ( a + b + c ) x2 DIVISION . 25.
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7th term a+b+c arithmetic mean arithmetical ax² Binomial Theorem black balls chance cloth coefficient common contains continued fraction convergent Crown 8vo denote digits divided divisible divisor equal event example expansion Extract the square factors Fcap Find the number Geometrical Progression greater than unity Hence least common multiple less than unity letters logarithm miles multiply negative quantity number of combinations number of terms obtain occur P₁ positive integers positive quantity preceding article prime number probability problem quadratic equation quadratic surd quotient radix ratio recurring decimal remainder result scale shew shillings Similarly solution square number square root subtraction suppose supposition surd things taken trial unknown quantities white balls whole number
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Side 463 - NAPIER.— Lord Bacon and Sir Walter Raleigh. Critical and Biographical Essays. By MACVEY NAPIER, late Editor of the Edinburgh Review and of the Encyclopedia Britannica. Post 8vo. cloth, Is.
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