The elements of Euclid : viz, the first six books, together with the eleventh and twelfth : the errors, by which Theon, or others, have long ago vitiated these books, are corrected, and some of Euclid's demonstrations are restored : also, The book of Euclid's data, in like manner corrected (1834)
Euclid, Euclid, Simson, Robert, 1687-1768 · Philadelphia : Desilver & Thomas · leaf 182
plane AC,their common section AD, BC are parallel (16. 11.); and AB isparallel to CD; therefore AC is a parallelogram. In like man-ner, it may be proved that each of thefigures CE, FG, GB, BF, AE is a pa-rallelogram: join AH, DF; and be-cause AB is parallel to DC, and BHto CF; the two straight… … 180 rHE ELEMExNTS OF EUCLID. BOOK XI. gle ABH is therefore equal to the angle DCF; and because AB,BH are equal to DC, CF, and the angle ABH equal to the angleDCF; therefore the base AH is equal (4. 1.) to the base DF, andthe triangle ABH to the triangle DCF: and the parallelogram BGis double (34.…
Mathematics, Greek · Geometry · Trigonometry
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