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 210
nPQRST is the required figure. =^#2. The bisectors of all the angles of a regular polygon meet in apoint. 198 EUCLIDS ELEMENTS. Proposition 13. Problem. To inscribe a circle in a given regular pentagon. Let ABODE be the given regular pentagon :it is required to inscribe a circle in it.… … because 1 [Hypothesis. [Construction. [L4. In the triangles BCF, DCF,BC = CD,and CF is common,and the z.BCF = the z_DCF ;.-. the base BF = the base DF,and the z.CBF=:the aCDF,.-. twice the z.CBF=: twice the z_CDF. that is, =:the Z.CDE, which = the /_CBA.that is, the ^ABC is bisected by BF. In the…
Euclid's Elements · Geometry · Mathematics, Greek
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