The elements of Euclid for the use of schools and colleges; comprising the first six books and portions of the eleventh and twelfth books; (1903)
Euclid, Todhunter, I. (Isaac), 1820-1884, ed. edt, Simson, Robert, 1687-1768, ed. edt · London; New York, Macmillan · leaf 396
e. Hi EUCLIDS ELEMENTS. MAXIMA AND MINIMA [BOOKS III. AND IV.]. 68. A and B are tivo giveri points on the same side of a given straightline, and AB produced meets the given line at C ; 0/ all points in thegiven straight line on each side of C, it is required to determine that atwhich AB subtends… … E D C For, take any other point E in CD on the same side of C as D;draw EA, EB ; then one at least of these straight lines will cut thecircumference ADB. Suppose that BE cuts the circumference at F ; join AF. Then thezAFB-^the zADB [III. 21]; and the zAFB>the zAEB [I. 16]; .-. the zADB>the…
Euclid's Elements · Geometry · Mathematics, Greek
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