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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 40

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 40
allelogram,which shall be equal to a given triangle, and have oneof its angles equal to a given rectilineal angle. Let AB be the given straight line, and C the given triangle,and D the given rectilineal angle. It is required to apply to thestraight line AB a parallelogram equal to the triangle C,… … 38 THE ELEMENTS OF EUCLID. BOOK I. through A draw (31. 1.) AH parallel to BG or EF, and join HB.Then, because the straight line HF falls upon the parallels AH,EF, the angles x\HF, HFE are together equal (29. 1.) to tworight angles: wherefore the angles BHF, HFE are less than tworight angles: but…

Mathematics, Greek · Geometry · Trigonometry

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