Diophantos of Alexandria: A Study in the History of Greek Algebra |
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Page x
... quadratics . 90-93 ( 3 ) Cubic equation 93-94 ( B ) Indeterminate equations . I. Indeterminate equations of the first and second degrees . ( 1 ) Single equation ( second degree ) 95-98 95 95-98 1. Those which can always be rationally ...
... quadratics . 90-93 ( 3 ) Cubic equation 93-94 ( B ) Indeterminate equations . I. Indeterminate equations of the first and second degrees . ( 1 ) Single equation ( second degree ) 95-98 95 95-98 1. Those which can always be rationally ...
Page 21
... quadratic equations , is not found in our Dioph .; and even supposing that it was given in the Ms. which Regiomontanus saw , this is not a point which would deserve special mention . object of turning into Latin certain Greek ...
... quadratic equations , is not found in our Dioph .; and even supposing that it was given in the Ms. which Regiomontanus saw , this is not a point which would deserve special mention . object of turning into Latin certain Greek ...
Page 28
... quadratic equations , on the other hand , we have certain evidence from the writer's own words , that the solution of the adfected or complete quadratic was given in the treatise as it originally stood ; for , in the first place ...
... quadratic equations , on the other hand , we have certain evidence from the writer's own words , that the solution of the adfected or complete quadratic was given in the treatise as it originally stood ; for , in the first place ...
Page 30
... quadratic to one of the forms x = a , or x2 = b . I will give later a method of solution of the complete equation x2 ± ax = ± b . " Now this promised solution of the complete quadratic equation is nowhere to be found in the Arithmetics ...
... quadratic to one of the forms x = a , or x2 = b . I will give later a method of solution of the complete equation x2 ± ax = ± b . " Now this promised solution of the complete quadratic equation is nowhere to be found in the Arithmetics ...
Page 33
... quadratic . The method of the Porisms was probably synthetic , like the Poly- gonal Numbers , not ( like the six Books of the Arithmetics ) analytical ; this however forms no sufficient reason for refusing to include all three treatises ...
... quadratic . The method of the Porisms was probably synthetic , like the Poly- gonal Numbers , not ( like the six Books of the Arithmetics ) analytical ; this however forms no sufficient reason for refusing to include all three treatises ...
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Common terms and phrases
Abu'l-Wafa Algebra Alkarkhi Arabian Arithmetics Assume Ave Maria Lane Ax² Bachet Bombelli C. J. CLAY Cambridge University Press CLAY & SONS coefficients College commentary condition Cossali Crown 8vo cube Demy 8vo difference Diophantos edition Editor English equal Fellow Fermat final sigma find a right-angled find three numbers find two numbers fraction given number given ratio gives Greek Hence hypotenuse Hypsikles indeterminate equations LL.D Maximus Planudes mentioned method Mohammed ibn Mūsā multiplied Nesselmann Nikomachos notation Notes phantos Polygonal Numbers Porisms problem Professor quadratic Regiomontanus remark required number result right-angled triangle roots side solution solved square number St John's College subtract Suidas symbol Tannery term Theon of Alexandria third translation treatise Trinity College University of Cambridge University Press Warehouse unknown quantity whence words write Xylander δὲ εἰς ἐν καὶ τὰ τὸ τοῦ τῶν
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