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This word is used when there are four proportionals, and it is inferred that the first has the same ratio to the third which the second has to the fourth ; or that the first is to the third as the second to the fourth : as is shown in Prop.
The elements of plane geometry; or, The first six books of Euclid, ed. by W ... - Σελίδα 68
των Euclides - 1863
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## An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - 1824 - 542 σελίδες
...permutation, or by alternation, or alternately, are terms used, when of four proportionals it is inferred that the first is to the third as the second to the fourth. XIV. Invertendo, by inversion, or inversely, when of four proportionals, it is inferred that the second...

## An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan - 1824 - 550 σελίδες
...permutation, or by alternation, or alternately, are terms used, when of four proportionals it is inferred that the first is to the third as the second to the fourth. XIV. .Invertendo, by inversion, or inversely, when of four proportionals, it is inferred that the second...

## A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 σελίδες
...permutation, or alternately. This word is used when there are four proportionals, and it is inferred, that the first has the same ratio to the third, which the second has to the fui ir tli : or that the first is to the third, as the second to the fourth: As is shewn in the 16th...

## The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 σελίδες
...permutation or alter- See N. nately. This word is used when there are four proportionals, and it is inferred that the first has the same ratio to the third which...is to the third as the second to the fourth: as is shewn in the 10th Prop. of this fifth Book. XIV. Invertendo, by inversion ; when there are four proportionals,...

## The First Six Books of the Elements of Euclid, with a Commentary and ...

Euclid, Dionysius Lardner - 1828 - 544 σελίδες
...permutation or alternation. This word is used when there are four proportionals, and it is inferred that the first has the same ratio to the third which...third as the second to the fourth : as is shown in XVI, Book V. Permutation or alternation consists in the transposition of the means in four proportionals....

## The First Six Books of the Elements of Euclid: With Notes

Euclid - 1833 - 216 σελίδες
...permutation or alternation; when we infer that if there be four magnitudes of the same kind proportional, the first is to the third as the second to the fourth, as is proved in prop. 33. 15. By inversion ; when we infer that if there be four magnitudes proportional,...

## The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 σελίδες
...permutation or alternately. This word is used when there are four proportionals, and it is inferred that the first has the same ratio to the third, which...to the third, as the second to the fourth ; as is shewn in the 16th Prop. of this fifth Book. XIV. Invertendo, by inversion ; when there are four proportionals,...

## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 σελίδες
...permutation, or alternately. See N. This word is used when there are four proportionals, and it is inferred that the first has the same ratio to the third, which...third, as the second to the fourth : As is shown in the 16th Prop, of this 5th book. XIV. Invertendo, by inversion ; when there are four proportionals,...

## The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 σελίδες
...permutalion, or alternately ; this word is used when there are four proportionals, and it is inferred, that the first has the same ratio to the third which...first is to the third as the second to the fourth. 16. Invertendo, by inversion : when there are four proportionals, and it is inferred, that the second...

## A System of Popular Geometry: Containing in a Few Lessons So Much of the ...

George Darley - 1836 - 172 σελίδες
...above ART. is called INVERTENDO, or Inversion. ART. 171. In a series of four proportional right lines, the first is to the third as the second to the fourth. In the above diagram, AB is to EF as CD to GH. DEM. By ART. 100, the rectangle under AB and GH is equal...