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 43
each of the opposite angles ABE, BED is a right angle; wherefore the A B figure ADEB is rectangular, and it has been demonstrated that itis equilateral; it is therefore a square, and it is described uponthe given straight line AB. Which was to be done. Cor. Hence every parallelogram that has one… … equal to the squares described upon the sides whichcontain the right angle. Let ABC be a right angled triangle, having the right angleBAG; the square described upon the side BC is equal to thesquares described upon BA, AC. On BC describe (46. 1.) the square BDEC, and on BA, AC theSquares GB, HC:…
Mathematics, Greek · Geometry · Trigonometry
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