. Elements of geometry : containing books I to III. A \ Apply the A DEF to the A ^4J5<7so that JJE coincides with v z iDl is less than 1 BAG,DF will fall between iU and AC,? id jP will fall on, or above, or below, If F fall on BC,JSjF is less than BC;.-. EF is less than BC. II. If F fall above BC, BF, FA together are less than BC, ( FA = CA; .: BF is less than BC; ;. EF is less than BC. III. If F ML below BC. let A F cut BC in 0. Then BO, OF together are greater than BF, I. 20. and Of. AO I: L 2a .-. BC, AF BF, AC together, and AF=AC,: BC than BF ? and .. EF is less than
. Elements of geometry : containing books I to III. A \ Apply the A DEF to the A ^4J5<7so that JJE coincides with v z iDl is less than 1 BAG,DF will fall between iU and AC,? id jP will fall on, or above, or below, If F fall on BC,JSjF is less than BC;.-. EF is less than BC. II. If F fall above BC, BF, FA together are less than BC, ( FA = CA; .: BF is less than BC; ;. EF is less than BC. III. If F ML below BC. let A F cut BC in 0. Then BO, OF together are greater than BF, I. 20. and Of. AO I: L 2a .-. BC, AF BF, AC together, and AF=AC,: BC than BF ? and .. EF is less than BC. Q. B. D. 8. M4 EUCLIDS ELEMENTS. [Books I. & II. Note 16. EucUcPs Proof of I. 26< If two triangles have two angles of the one equal to two anglesof the other, each to each, and om side equa to one side,via., either the sides adjacent to the equal angles, oropposite to equal angles in each ; then shall the other sides beequal, inch to each : and also the third angle of the o to thetiiird anyle of the other.
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