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" Defective divisors, after the first, may be more concisely found thus: To the last complete divisor, add the number which completed it with twice the square of the last figure in the root, and the sum will be the next defective divisor. "
A Key to the Western Calculator: Containing the Solution of All the Examples ... - Page 97
by John Armstrong - 1831 - 139 pages
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The American Tutor's Assistant Revised, Or, A Compendious System of ...

Zachariah Jess - Arithmetic - 1810 - 222 pages
...proceed with every period. Note. Defective divisors, after the first, may be more conc'se¡y found hy addition, thus: To the last complete divisor, add...the last figure in the root ; the sum will be the next dtftflive divisjf, EXAMPLES. » . . .-""''•"•'" 1 What is the cube root of 4éi'191',í)Í7-í...
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The American Tutor's Assistant Revised, Or, A Compendious System of ...

Zachariah Jess - Arithmetic - 1813 - 228 pages
...dividual, for which find a dmsor as before ; and so proceed with every period. Note. Defeftive divisors, after the' first, may be more concisely found by addition,...add the number which completed it, with twice the sqaareof the last figure in the root 5 the sum wfll be the next defective divisor« . ,. E X..AMPL...
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A Treatise of Practical Arithmetic

Robert Patterson - Arithmetic - 1819 - 174 pages
...resolvend, abating the two right-hand figures. 9. A new divisor is to be found for every new resolvend] thus— to the last complete divisor add the number which completed it, together with twice the square of the last figure of the root, and the sum will be the new defective...
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The American Tutor's Assistant Revised: Or, A Compendious System of ...

Zachariah Jess - Arithmetic - 1824 - 228 pages
...for which find a divisor as before; and so proceed with every period. , • Note. Defective divisors, after the first, may be more concisely found by addition,...the last figure in the root ; the sum will be the next 'defective divisor. EXAMPLES. 1 What is the cube root of 444194,947 ? ' ' ' ' 444194,947)76,3...
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The American Tutor's Assistant Revised, Or, A Compendious System of ...

Zachariah Jess - Arithmetic - 1824 - 224 pages
...divisor as before; ami so proceed with every period. Note. Defective divisors, after the first, maybe more concisely found by addition, thus : To the last...the last figure in the root ; the sum will be the next defective divisor. EXAMPLES. 1 What is the cube root of 444194,947 ? ? » 5 444 194,947) 76,3...
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The Teachers' Assistant: Or a System of Practical Arithmetic

Stephen Pike - Arithmetic - 1824 - 212 pages
...applies equally to this rule. Note. — Defective divisors, after the first, may be more concisely foimd thus: To the last complete divisor, add the number...with twice the square of the last figure in the root, and the sum will be the next defective divisor. PROOF. Involve the root to the third power, adding...
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The American Tutor's Assistant, Improved: Or, A Compendious System of ...

Zachariah Jess - Arithmetic - 1827 - 226 pages
...which find a divisor as before ; and so proceed with every period. ; >-. Note. The defective divisors, after the first, may be more concisely found by addition,...the last figure in the root ; the sum will be the next defective divisor. .- ,;. ,...-. VL { ,- .,., ¡ ií',.1 •{',.•. 'i!.«- , • The Cube Rooi....
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The Teachers' Assistant: Or, A System of Practical Arithmetic ...

Arithmetic - 1831 - 210 pages
...applies equally to this rule. Note. — Defective divisors, after the first, may be more concisely found thus: To the last complete divisor, add the number...with twice the square of the last figure in the root, and the sum will be the next defective divisor. PROOF. Involve the root to the third power, adding...
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The Teacher's Assistant: Or, A System of Practical Arithmetic: Wherein the ...

Arithmetic - 1831 - 198 pages
...applies equally to this rule. Note. — Defective divisors, after the first, may be more concisely found thus: To the last complete divisor, add the number...with twice the square of the last figure in the root, and the sum will be the next defective divisor. PROOF. Involve the root to the third power, adding...
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The New System of Practical Arithmetic: Whereby Most of the Various Problems ...

Charles Potts - Arithmetic - 1835 - 202 pages
...which find a divisor as before ; and so proceed with every period. NOTE. — The defective divisor after the first, may be more concisely found by addition,...the last figure in the root ; the sum will be the next defective divisor. PROOF. — Involve the root to the third power, adding the remainder, if any,...
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