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" The usual way of expressing division, as has already been explained, is by writing the divisor under the dividend in the form of a fraction. Thus a divided by b is expressed ^. This gives rise to fractions in the same manner as in arithmetic. "
An Introduction to Algebra Upon the Inductive Method of Instruction - Σελίδα 82
των Warren Colburn - 1844 - 276 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

The Popular Educator, Τόμοι 5-6;Τόμος 14

1867
...ALGEBRA.— XXXI. DIVISION OP KADICAi QUANTITIES. THE division of radical quantities may be expressed by writing the divisor under the dividend, in the form of a fraction. EXAMPLES. Thus tlio.quotieiit of **/a divided by -Sb is (* And divided by (b + *)» is In these instances,...

An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1814 - 303 σελίδες
...124. J^ <Ae letters of" the divisor are not to be found in the dividend, the division is expressed by writing the divisor under the dividend, in the form of a vulgar fraction. Div. xy 6hr d—x 2d—r d—h + 3y By- a Ady —h — 3r ro— x d+2A— y xy d—ae...

An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1820 - 332 σελίδες
...ax3)2 . DIVISION OP RADICAL QUANTITIES. 284. The division of radical quantities may be expressed, l»y writing the divisor under the dividend, in the form of a fraction. Va Thus the quotient of \/a divided by ^/b, is ~rr. i 1 *• i And (a + h) * divided by (b+x)n is •...

An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1825 - 372 σελίδες
...— 7o46*c + 10 a* 6* c*. 24. Divide 42 a7 —84 a10 6s c by 1— 2o36*c. Algebraic Fractions. XV. When the dividend does not contain the same letters...of the divisor, the division cannot be performed in (his way. It can then only be expressed. The usual way of expressing division, as has already been...

An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1826 - 276 σελίδες
...a8— 7a46'c+10as&V. 24. Divide 42 a' — 84 a10 b3 c by 1 — 2 a3 6s c. Algebraic Fractions. XV. When the dividend does not contain the same letters...explained, is by writing the divisor under the dividend in This gives rise to fractions in the same manner as in arithmetic. It was shown in arithmetic, that...

An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1827 - 332 σελίδες
...sum of o and 6, divided by the sum of c and d. But in algebra, division is more commonly expressed, by writing the divisor under the dividend, in the form of a vulgar fraction. Thus - is the same as a— 6 : and ^— is the difference of c and b b d+h divided...

An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1828 - 276 σελίδες
...a"— 7 a4 6s c+ 10 a" 6V. 24. Divide 42 a' — 84 a10 b' c by 1 — 2a'b'c. Algebraic Fractions. XV. When the dividend does not contain the same letters...form of a fraction. Thus a divided by 6 is expressed -. This gives rise to fractions in the same manner as in arithmetic. It was shown in arithmetic, that...

An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1828 - 276 σελίδες
...9a"— Ta4Vc+ lOa*6V. 24. Divide 42 a7 — 84 a10 V c by 1 — 2 a* 6* c. Algebraic Fractions. XV. When the dividend does not contain the same letters...dividend in the form of a fraction. Thus a divided by b is expressed ^. This gives rise to fractions in the same manner as in arithmetic. It was shown in...

An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1828 - 276 σελίδες
...9a5— 7a46sc+ 10a86V. 24. Divide 42 a7 — 84 a10 b3 c by 1— 2a36*c. Algebraic Fractions. ^3 XV. When the dividend does not contain the same letters...dividend in the form of a fraction. Thus a divided by b is expressed -. This gives rise to fractions in the same manner as in arithmetic. It was shown in...

Elements of Algebra

William Smyth - 1830 - 264 σελίδες
...o2 6 by 9 cd, the division it is easy to see, cannot be performed, we therefore express the quotient by writing the divisor under the dividend in the form of a r ,. ., 12 o'6 fraction, thus, -• —7-. 54. The expression — — -=- is called an algebraic fraction....




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