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 149
d because BC is to GH as GH to CF, andif three straight lines be proportionals, as the first is to the third,so is (2. Cor. 20. 6.) the figure upon the first to the similar andsimilarly described figure upon the second; therefore as BC to CF,so is the rectilineal figure ABC to KGH; but as BC to CF,… … ABC is equal to the parallelogram. BE; therefore the rectilineal ,—^ * See Note. nooK VI. THE ELEMENTS OF EUCLID. 147 figure KGH is equal (14. 5.) to the parallelogram EF: but EF isequal to the figure D; wherefore also KGH is equal to D; and itis similar to ABC. Therefore the rectilineal figure KGH…
Mathematics, Greek · Geometry · Trigonometry
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