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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 29

An illustration from 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, leaf 29
d AC to DF; but the angle BAC greater than the angle EDF;the base BC is also greater than the base EF. Of the two sides DE, DF, let DE be the side which is notgreater than the other, and at the point D, in the straight lineDE, make (23. 1.) the angle EDG equal to the angle BAC; andmake DG equal (3.… … BAC is equal to the angleEDG; therefore the baseBC is equal (4. 1.) to thebase EG; and becauseDG is equal to DF, theangle DFG is equal (5.1.)to the angle DGF; but the angle DGF is greater than the angle EGF; E ^-Z:; V ; Q therefore the angle DFGis greater than EGF; andmuch more is the angle EFG…

Mathematics, Greek · Geometry · Trigonometry

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