A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 149
... length . K Suppose the problem solved , EF being of the required length . Complete the parallelogram A EDGF . B F Then , EF being given in length , DG is given in length . Therefore G lies on the circle drawn with D as centre and radius ...
... length . K Suppose the problem solved , EF being of the required length . Complete the parallelogram A EDGF . B F Then , EF being given in length , DG is given in length . Therefore G lies on the circle drawn with D as centre and radius ...
Pagina 242
Sir Thomas Little Heath. length with the given straight line , but also any straight line commensurable with it in square though not in length ; if , however , a straight line is commensurable neither in length nor in square with the ...
Sir Thomas Little Heath. length with the given straight line , but also any straight line commensurable with it in square though not in length ; if , however , a straight line is commensurable neither in length nor in square with the ...
Pagina 526
... Length and breadth added give 5 50. Calculate length and breadth . 3 30 ( is ) the length , 2 20 the breadth . ' ( The numbers are expressed in the sexa- gesimal notation and are therefore 2 , 55 , 31 , and 21 respectively . ) If x , y ...
... Length and breadth added give 5 50. Calculate length and breadth . 3 30 ( is ) the length , 2 20 the breadth . ' ( The numbers are expressed in the sexa- gesimal notation and are therefore 2 , 55 , 31 , and 21 respectively . ) If x , y ...
Inhoudsopgave
INTRODUCTORY 157 | 5 |
NUMERICAL NOTATION AND PRACTICAL CAL | 11 |
PYTHAGOREAN ARITHMETIC | 36 |
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algebra Apollonius Archimedes Archytas arithmetic assumes astronomy axis base bisects Book centre of gravity chord circle circumscribed commentary cone conics contained cube curve cylinder definition diameter Diophantus divided edition equal equation equivalent Eratosthenes Eucl Euclid Eudemus Eudoxus Eutocius figure geometry given ratio given straight line gives Greek height Heron Hipparchus hyperbola inscribed lemmas length loci mathematics mean proportionals method method of exhaustion moon multiplied namely Pappus parabola parallel parallelogram pentagon perpendicular plane Plato polygonal number Porisms Posidonius problem Proclus proof Prop propositions proved Ptolemy pyramid Pythagoras Pythagoreans quadratic quadratic equations radius rectangle respectively right angles right-angled triangle segment semicircle sexagesimal sides similar solid solution solved sphere square number surface tangent Theon Theon of Alexandria theorem theory tion translation treatise triangular number volume whence