## Elementary AlgebraRivingtons, 1870 - Algebra |

### From inside the book

Page 250

James Hamblin Smith. Four quantities are said to be in Continued

James Hamblin Smith. Four quantities are said to be in Continued

**Proportion**when the ratios of the first to the second , of the second to the third , and of the third to the fourth are all equal . Thus a , b , c , d are in continued ... Page 253

... equal are quite different in Euclid and in Algebra . The Algebraic test is ... second which the third has to the fourth , when any equimultiples whatsoever of the first and third being ... first be greater than ON

... equal are quite different in Euclid and in Algebra . The Algebraic test is ... second which the third has to the fourth , when any equimultiples whatsoever of the first and third being ... first be greater than ON

**PROPORTION**. 253. Page 257

...

...

**equal**vessels A , B , C ; the**first**con- tains water , the**second**brandy ...**ratio of the**brandy to the water in the vessel C. 21. A factor buys a ...**ratio**between the lengths of the strokes of the two boats . 26. The time which ...### Other editions - View all

### Common terms and phrases

a+b-c aČ+2ab+bČ aČ+bČ Algebra arithmetic means Arithmetical Progression Cambridge change the signs coefficient College List Crown 8vo denominator denote difference digits Divide Dividend division divisor Edition equal equivalent fractions examples Find the number Find the value following expressions fourth gallons Geometrical Progression given greater Greek Hence Highest Common Factor integer John Henry Blunt Latin less logarithms Multiply Nonary number of permutations number of terms obtain Oxford proper fraction quadratic equation quantity quotient radix ratio remainder represent the number result rules scale whose radix School and College second term Senary shew sides Simplify Small 8vo solve the equations square root subtract surds things taken third Thomas Kerchever Arnold tion Trinity Street unknown symbol Waterloo Place whole number

### Popular passages

Page 380 - The Greek Testament : with a critically revised Text ; a Digest of Various Readings ; Marginal References to Verbal and Idiomatic Usage ; Prolegomena ;"and a Critical and Exegetical Commentary. For the Use of Theological Students and Ministers. By HENRY ALFORD, DD, Dean of Canterbury. Vol. I., containing the Four Gospels.

Page 6 - An Analysis of the Exposition of the Creed, written by the Right Rev. Father in God, JOHN PEARSON, DD, late Lord Bishop of Chester. Compiled, with some additional matter occasionally interspersed, for the use of the Students of Bishop's College, Calcutta, by WH MILL, DD late Principal of Bishop's College, and Regius Professor of Hebrew in the University of Cambridge.

Page 384 - Edited by OSCAR BROWNING, MA Fellow of King's College, Cambridge ; and Assistant Master at Eton College. CICERONIS ORATIONES, Edited by CHARLES EDWARD GRAVES, MA Classical Lecturer and late Fellow of St.

Page 231 - The first of four magnitudes is said to have the same ratio to the second which the third has to the fourth, when...

Page 232 - ... multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth: or, if the multiple of the first be equal to that of the second, the multiple of the third is also equal to that of the fourth...

Page 80 - If both terms of a fraction be divided by the same number, the value of the fraction will remain unchanged.

Page 383 - Greek and English Testament, in parallel columns on the same page. Edited by J. SCHOLEFIELD, MA late Regius Professor of Greek in the University. New Edition, with the marginal references as arranged and revised by DR SCRIvENER, js.

Page 306 - A number is divisible by 11 if the difference between the sum of the digits in the even places and the sum of the digits in the odd places is either 0 or a multiple of 11.

Page 149 - Then divide the first term of the remainder by the first term of the divisor...