. 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. b 1. A>. d 4. 1. Ax. two FD, DC, each to each ; and the exterior angle FDC isequal ^ to the interior EAB; therefore the base EB is equal tothe base FC, and the triangle EAB equal <= to the triangle FDC;take the triangle FDC from the trapezium ABCF, and from thesame trapezium take the triangle
. 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. b 1. A>. d 4. 1. Ax. two FD, DC, each to each ; and the exterior angle FDC isequal ^ to the interior EAB; therefore the base EB is equal tothe base FC, and the triangle EAB equal <= to the triangle FDC;take the triangle FDC from the trapezium ABCF, and from thesame trapezium take the triangle EAB; the remainders there-fore are equal f, that is, the parallelogram ABCD is equal to theparallelogram EBCF. Therefore, parallelograms upon the samebase, &c. -Q. E. D. ^ OF EUCLID. PROP. XXXVI. THEOR.
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Keywords: ., bookauthoreuclid, bookcentury1800, booksubje, booksubjectgeometry
