A Manual of Greek MathematicsClarendon Press, 1931 - 552 pagina's |
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Pagina 256
... given area in a given angle , and if the difference ( or sum ) of them be given , then shall each of them be given ' ; the proofs depend directly on those of Props . 58 , 59 , ' If a given area be applied to a straight line falling ...
... given area in a given angle , and if the difference ( or sum ) of them be given , then shall each of them be given ' ; the proofs depend directly on those of Props . 58 , 59 , ' If a given area be applied to a straight line falling ...
Pagina 257
... given in species be described on a straight line given in magnitude , the figure is given in magnitude ' ( Prop . 52 ) ; ' If a triangle have one angle given , the rectangle contained by the sides including the angle has to the area of ...
... given in species be described on a straight line given in magnitude , the figure is given in magnitude ' ( Prop . 52 ) ; ' If a triangle have one angle given , the rectangle contained by the sides including the angle has to the area of ...
Pagina 372
... given area is a AP2 + ß.BP2 + y.CP2 + circle . The Book of course contained the theorem , quoted by Eutocius but already known to and quoted by Aristotle , that , if A , B be fixed points and AP and BP are in a given ratio , the locus ...
... given area is a AP2 + ß.BP2 + y.CP2 + circle . The Book of course contained the theorem , quoted by Eutocius but already known to and quoted by Aristotle , that , if A , B be fixed points and AP and BP are in a given ratio , the locus ...
Inhoudsopgave
INTRODUCTORY 1 157 | 1 |
NUMERICAL NOTATION AND PRACTICAL CAL | 11 |
PYTHAGOREAN ARITHMETIC | 36 |
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