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The elements of Euclid for the use of schools and colleges : comprising the first two books and portions of the eleventh and twelfth books; with notes and exercises (1880)

Todhunter, I. (Isaac), 1820-1884 · Toronto : Copp, Clark · leaf 20

An illustration from The elements of Euclid for the use of schools and colleges : comprising the first two books and portions of the eleventh and twelfth books; with notes and exercises, 1880, leaf 20
tremityof the base equal to one another, and likewise their sideswhich are tenuinated at the other extremity.But this is impossible. [I. 7. Therefore since the base BC coincides with the base EF,the sides BA, AC must coincide with the sides ED, DF.Therefore also the angle BAC coincides with the… … Let BAChe the given rectilinealangle : it is required to bisect it. Take any point D in AB, andfrom AC cut off AE equal toAD; [I. 3. join DE, and on DE, on the sideremote from A, describe the equi-lateral triangle DBF. [I. 1. Join AF, The straight line AF shall bisect the angle BAG. Because ^Z>…

Geometry · Euclid's Elements · Mathematics, Greek

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