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O Na Mole E Ke Anahonua (About the Roots of Geometry)

By: A. M. Legendre

1. O ke Anahonua ka mea e i ike ai ke ano o na mea i hoopalahaiahaia, oia na kaha, a me na ili, a me na paa. Ekolu mau ano o na mea i hoopalahaiahaia, he loa, he laula, a he manoanoa. 2. O ke kaha ; he loa wale no ko ke kaha; aole laula, aole manoanoa. O na welau o ke kaha he mau kiko ia: nolaila, o ke kiko, aole ona loa, aole laula, aole manoanoa, aka he wahi e ku wale ai no. 3. O ke kaha pololei ka loa pokole mai kekahi kiko a i kekahi kiko. 4. O ke kaha pololei ole, a i hui ole ia na kaha pololei, he kaha poai ia Penei, AE he kaha pololei ia; AIOE he kaha hakiia oia, i huiia na kaha pololei AI, IO, OE; AUE he kahapoai ia. Ina ma keia palapala, ua loaa ka olelo kaha wale no, ua manaoia he kaha pololei....

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