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Pagina 173
called a circle and known by that name; (2) its definition as that in which the
distances from its extremities in all directions to the centre are always equal, for
this may be said to be the definition of that to which the terms 'round” and “circle”
are ...
called a circle and known by that name; (2) its definition as that in which the
distances from its extremities in all directions to the centre are always equal, for
this may be said to be the definition of that to which the terms 'round” and “circle”
are ...
Pagina 175
There is little doubt that the definition of a line as 'breadthless length' originated in
the school of Plato. A straight line is defined by Plato himself as 'that of which the
middle covers the ends' (i.e. to an eye at either end looking along the line); ...
There is little doubt that the definition of a line as 'breadthless length' originated in
the school of Plato. A straight line is defined by Plato himself as 'that of which the
middle covers the ends' (i.e. to an eye at either end looking along the line); ...
Pagina 225
Most important of all is the fundamental definition (5) of magnitudes which are in
the same ratio: “Magnitudes are said to be in the same ratio, the first to the
second and the third to the fourth, when, if any equimultiples whatever be taken
of the ...
Most important of all is the fundamental definition (5) of magnitudes which are in
the same ratio: “Magnitudes are said to be in the same ratio, the first to the
second and the third to the fourth, when, if any equimultiples whatever be taken
of the ...
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Inhoudsopgave
INTRODUCTORY | 1 |
NUMERICAL INOTATION AND PRACTICAL CAL | 11 |
PYTHAGOREAN ARITHMETIC | 36 |
Copyright | |
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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