| George Crabb - Industrial arts - 1823
...figure contained by six quadrilateral figures, whereof every opposite two are parallel. Iffitio. Ratio **is a mutual relation of two magnitudes of the same kind to one another in respect of quantity** : thus the ratio of 2 to 1, or of AB to AG, fig. 31, is double; that of 3 to 1, triple, &c. — A less... | |
| James Ryan, Robert Adrain - Algebra - 1824 - 516 pages
...the less, that is? when the greater contains the less a certain number of limes exactly. III. Ratio **is a mutual relation of two magnitudes of the same kind to one another in respect** to quantity. - • . iv. • Magnitudes are said to have a ratio to one another. when the less can... | |
| James Ryan - Algebra - 1824 - 516 pages
...the less, that is, when the greater contains the less a certain number of times exactly. III. Ratio **is a mutual relation of two magnitudes of the same kind to one another in respect** to quantity. Magnitudes are said to have a ratio to one another, when the less can be multiplied so... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...less ; that is, ' when the greater contains the lese ' a certain number of times exact«ly/ III. Ratio **is a mutual relation of two ' magnitudes of the same kind to * one another, in respect of** quanti' ty/ IV. Magnitudes are said to have a ratio to one another, when the less can IK- multiplied... | |
| John Playfair - Circle-squaring - 1826 - 320 pages
...less,' thai is, when the greater eontains the less a uertn.ii! number of times exaetly. III. Ratio **is a mutual relation of two magnitudes, of the same kind, to one another, in** respeet of quantity. IV. Magnitudes are said to be of the same kind, when the less ean be multiplied... | |
| Robert Simson - Trigonometry - 1827 - 513 pages
...mutual relation of two magnitudes of the See N. " same kind to one another, in respect of quantity." IV. **Magnitudes are said to have a ratio to one another,...less can be multiplied so as to exceed the other.** V. The first of four magnitudes is said to have the same ratio to the second, which the third has to... | |
| Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 324 pages
...; for an inch measures a. foot twelve times, and 3 measures 36 also twelve times. (446) III. Ratio **is a mutual relation of two magnitudes of the same kind to one another,** with respect to quantity. This definition has been by some commentators considered to be obscure and... | |
| Euclid, Robert Simson - Geometry - 1829 - 516 pages
...relation of two magnitudes of the same kind to one another, in respect of quantity.'* IV. Magnitudes arc **said to have a ratio to one another, when the less can be multiplied so as to exceed the other.** V. The first of four magnitudes is said to have the same ratio to the scoond, which the third has to... | |
| George Crabb - Encyclopedias and dictionaries - 1831 - 412 pages
...with a cone form the subject of conic sections, which is a branch of sublime geometry. Ratio is the **mutual relation of two magnitudes of the same kind to one another, in respect** to quantity, as 2 to 1, which is double ; the former of these is called the antecedent, and the latter... | |
| Perry Fairfax Nursey - Industrial arts - 1831
...attack. He quotes — 1st. The définition of a ratio from the 5lh Book of Euclid— That " Ratio is the **mutual relation of two magnitudes of the same kind to one another** with respect to quantity.'' 2dly. Bridge's Alg., p. 122.— That " The magnitude of a ratio is measuredby... | |
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