A Manual of Greek Mathematics |
Vanuit het boek
Resultaten 1-3 van 13
Pagina 45
(c) Gnomons of the polygonal numbers. In accordance with the generalized
meaning of the word 'gnomon', all the polygonal numbers, like triangular and
square numbers, are formed by adding gnomons successively to 1, which is
potentially ...
(c) Gnomons of the polygonal numbers. In accordance with the generalized
meaning of the word 'gnomon', all the polygonal numbers, like triangular and
square numbers, are formed by adding gnomons successively to 1, which is
potentially ...
Pagina 66
If a, b, c be three numbers in ascending geometrical progression with any
common ratio other than 1, and if we form three numbers a, b–a, c-Ha–2b, we ...
C. 6 is preliminary to the subject of polygonal numbers and their respective
gnomons.
If a, b, c be three numbers in ascending geometrical progression with any
common ratio other than 1, and if we form three numbers a, b–a, c-Ha–2b, we ...
C. 6 is preliminary to the subject of polygonal numbers and their respective
gnomons.
Pagina 508
Theon of Smyrna, Nicomachus, and Iamblichus all devote considerable space to
polygonal numbers. Nicomachus in particular has rules for obtaining a polygonal
number of (a+1) sides from a polygonal number of a sides. Thus he says: 1.
Theon of Smyrna, Nicomachus, and Iamblichus all devote considerable space to
polygonal numbers. Nicomachus in particular has rules for obtaining a polygonal
number of (a+1) sides from a polygonal number of a sides. Thus he says: 1.
Wat mensen zeggen - Een review schrijven
We hebben geen reviews gevonden op de gebruikelijke plaatsen.
Inhoudsopgave
INTRODUCTORY | 1 |
NUMERICAL INOTATION AND PRACTICAL CAL | 11 |
PYTHAGOREAN ARITHMETIC | 36 |
Copyright | |
21 andere gedeelten niet weergegeven
Overige edities - Alles weergeven
Veelvoorkomende woorden en zinsdelen
according added Apollonius appear applied Archimedes arithmetic assumed base beginning Book called centre circle cone conics construction contained corresponding cube curve cylinder definition described diameter Diophantus discovered divided draw drawn earth edition Elements equal equation equivalent Eucl Euclid expressed fact figure follows four geometry given gives greater Greek height Heron included inscribed Join known latter length less mathematics means measure meet mentioned method multiplied namely observations obtained original Pappus parallel parallelogram particular plane Plato polygon position problem Proclus produced proof Prop proportion propositions proved pyramid Pythagoreans radius ratio rectangle reference regular relation represented respectively result right angles says segment shows sides similar solid solution solved sphere square straight line Suppose surface theorem theory things third tion translation treatise triangle volume whole