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 281
N, each of which is contained by the above named fourplane angles, are not equal to one another, or that they cannot co-incide, will be plain by considering that the angles GFK, ONQ,that is, the angles E, M, are unequal by the construction; andtherefore the straight lines GF, FK cannot coincide… … BOOK XI. NOTES. 279 pose with the angles E and M; it is plain that innumerable othersolid angles may be constituted which are each contained by thesame four plane angles, and all of them unequal to one another.Q. E. D. And from this it appears that Clavius and other authors aremistaken, who assert…
Mathematics, Greek · Geometry · Trigonometry
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