 Three quantities are in proportion when the first has the same ratio to the second, that the second has to the third ; and then the middle term is said to be a mean proportional between the other two.  The Elements of Algebra - Page 225by Elias Loomis - 1856 - 268 pagesFull view - About this book
 | John Playfair - Mathematics - 1806 - 320 pages
...second the same ratio that the third has to the fourth. VI. Magnitudes are said to be proportionals, when the first has the same ratio to the second that the third has to the fourth ; and the third to the fourth the same ratio which the fifth has to the sixth,... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...second the same ratio that the third has to the fourth. VI. Magnitudes are said to be proportionals, when the first has the same ratio to the second that the third has to the fourth ; and the third to the fourth the same ratio which the fifth Las to the sixth,... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...last is said to be a fourth proportional to the other three taken in order. 4. Three quantities are in proportion, when the first has the same ratio to...said to be a mean proportional between the other two. 5. Magnitudes arc said to be in proportion by inversion, or inversely, when the consequents are taken... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...second the same ratio that the third has to the fourth. 11. Magnitudes are said to be proportionals, when the first has the same ratio to the second that the third has to the fourth ; and the third to the fourth the same ratio which the fifth has to the sixth,... | |
 | Algebra - 1838 - 372 pages
...last is said to be a fourth proportional to the other three taken in order. 171. Three quantities are in proportion when the first has the same ratio to...said to be a mean proportional between the other two. 172. Quantities are said to be in proportion fay inversion, or inversely, when the consequents are... | |
 | Charles Davies - Algebra - 1839 - 264 pages
...what are the first and third called ? What the second and fourth ? • 1 47 . Three quantities are in proportion when the first has the same ratio to...mean proportional between the other two. For example, 3 : 6 : : 6 : 12; and 6 is a mean proportional between 3 and 12. 148. Quantities are said to be in... | |
 | Charles Davies - Algebra - 1839 - 272 pages
...quantities, what are the first and third called 1 What the second and fourth 1 1 47 . Three quantities are in proportion when the first has the same ratio to the second that the second has to the tliird ; and then the middle term is said to be a mean proportional between the other two. For example,... | |
 | Charles Davies - Algebra - 1842 - 284 pages
...quantities, what are the first and third called ? What the second and fourth * 1 47 . Three quantities are in proportion when the first has the same ratio to...mean proportional between the other two. For example, 3 : 6 : : 6 : 12; and 6 is a mean proportional between 3 and 12. 148. Quantities are said to be in... | |
 | Charles Davies - Algebra - 1842 - 368 pages
...last is said to be a fourth proportional to the other three taken in order. 171. Three quantities are in proportion when the first has the same ratio to...said to be a mean proportional between the other two. 172. Quantities are said to be in proportion by inversion, or t'nversely, when the consequents are... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...second the same ratio that the third has to the fourth. 6. Magnitudes are said to be proportionals, when the first has the same ratio to the second that the third has to the fourth ; and the third to the fourth the same ratio which the fifth has to the sixth,... | |
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