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 61
n the pointsB, C; they have not the same centre. For, if it be possible, let E be their centre: join EC, and drawany straight line EFG meeting them C in F and G; and because E is thecentre of the circle ABC, CE is equalto EF: again, because E is the centreof the circle CDG, CE is equal toEG: but CE… … G PROP. VI. THEOR. If two circles touch one another internally, theyshall not have the same centre. Let the two circles ABC, CDE touch one another interthe point C: they have not the same centre. For, if they can, let it be F; join FC, and draw any straiFEB meeting them in E and B^ and C because F…
Mathematics, Greek · Geometry · Trigonometry
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