### Τι λένε οι χρήστες -Σύνταξη κριτικής

Δεν εντοπίσαμε κριτικές στις συνήθεις τοποθεσίες.

### Περιεχόμενα

 ART 13 Definitions and rules 1 Surds 2 Greatest common divisor 1012 Fractions 3 55 6 1315 Equations simple and quadratic 16 17 Ratios and proportion 7 Arithmetical progression 8 Harmonical progression 21 Figurate and polygonal numbers 10 Geometrical progression 11
 22 60 36 38 40 43 74 5053 80 ib 54 82 1 2 88 13 100 19 136 20 142

 Permutations and combinations 13 Binomial theorem 14 Polynomial theorem 17 Indeterminate coefficients 22 Logarithms 30 31 Continued fractions 29 56 33 General properties of equations 36 Transformation of equations 38 Elimination 40 Depression of equations 43 Symmetrical functions of the roots of equations 39 The equation of differences 46 Limits of the roots of equations 48 Commensurable roots 50 Incommensurable roots 51 Quadratic factors 52 Impossible roots 53 Application of the theory of equations to surds 54
 22 149 4 5 155 DIFFERENTIAL CALCULUS 193 INTEGRAL CALCULUS 204 APPLICATION OF THE DIFFERENTIAL AND INTEGRAL 263 14 15 269 Cubature 275 CALCULUS OF VARIATIONS 288 25 294 2 3 297 Inverse method of differences 309 26 27 310 29 316 Equations of mixed differences 318 Theory of generating functions 326 APPENDIX 341

### Δημοφιλή αποσπάσματα

Σελίδα 112 - THEOREM. Every section of a sphere, made by a plane, is a circle.
Σελίδα 4 - Multiply each numerator into all the denominators except its own for a new numerator, and all the denominators together for a common denominator.
Σελίδα 4 - Any quantity may be transposed from one side of an equation to the other, if, at the same time, its sign, be changed.
Σελίδα 347 - Si, the formula assigned by Thomson to the mineral from Ireland, named " Anhydrous silicate of iron." Now, this slag had evidently been in a position favourable to the absorption of oxygen, namely, the...
Σελίδα 4 - To reduce a fraction to its lowest terms, divide both the numerator and denominator by their greatest common divisor.
Σελίδα 4 - The same quantity may be added to, or subtracted from, both sides of an equation. To...
Σελίδα 343 - The immutability, no less than the symmetry of its notation, (which should ever be guarded with a jealousy commensurate to its vital importance,) facilitates the translation of an expression into common language at any stage of an operation, - disburdens the memory of all the load of the previous steps, - and at the same time, affords it a considerable assistance in retaining the results.
Σελίδα 46 - These criteria were derived by a new transformation, namely the one which yields an equation whose roots are the squares of the differences of the roots of the given...
Σελίδα 161 - Straight line and circle. A straight line cannot cut a circle in more than two points. In fact, an unlimited straight line may (i) cut a circle in two points, eg AB or CD in fig.
Σελίδα 2 - Tiie square root of a quantity cannot be partly rational and partly a quadratic surd. If possible, let...