Εικόνες σελίδας
PDF
Ηλεκτρ. έκδοση
[blocks in formation]

SCHOLIUM. Thus we have shown, that if four quantities be proportionals by the common algebraic definition, they will also be proportionals according to Euclid's definition; and conversely, that if four quantities be proportionals by Euclid's definition, they will also be proportionals by the common algebraic definition; and by a similar method of reasoning we may easily show, that when four quantities are not proportionals by one of these two definitions, they cannot be proportionals by the other definition.

Thus it appears, that the two definitions are altogether equivalent; each comprehending, or excluding, whatever is comprehended, or excluded, by the other.

THE END.

[merged small][ocr errors]
« ΠροηγούμενηΣυνέχεια »