Great Books of the Western World, Band 11Robert Maynard Hutchins Encyclopædia Britannica, 1952 |
Im Buch
Ergebnisse 1-3 von 100
Seite 215
... square number has to a square number , neither has the square on BA to the square on AF the ratio which a square number has to a square number ; [ x . 9 ] therefore AB is incommensurable in length with AF . Therefore BA , AF are ...
... square number has to a square number , neither has the square on BA to the square on AF the ratio which a square number has to a square number ; [ x . 9 ] therefore AB is incommensurable in length with AF . Therefore BA , AF are ...
Seite 234
... square on E to the therefore the square on E is commensurable with the square on FG ; square on FG . And E is rational ; therefore FG is also rational . [ x . 6 ] [ x . 6 , Por . ] F Now , since D has not to AB the ratio which a square ...
... square on E to the therefore the square on E is commensurable with the square on FG ; square on FG . And E is rational ; therefore FG is also rational . [ x . 6 ] [ x . 6 , Por . ] F Now , since D has not to AB the ratio which a square ...
Seite 270
... square number has to a square number , therefore neither has the square on A to the square on FG the ratio which a square number has to a square number ; [ x . 9 ] therefore A is incommensurable in length with FG . Again , since , as BC ...
... square number has to a square number , therefore neither has the square on A to the square on FG the ratio which a square number has to a square number ; [ x . 9 ] therefore A is incommensurable in length with FG . Again , since , as BC ...
Inhalt
DEFINITIONS POSTULATES | 1 |
DEFINITIONS | 30 |
DEFINITIONS | 41 |
Urheberrecht | |
18 weitere Abschnitte werden nicht angezeigt.
Häufige Begriffe und Wortgruppen
angle ABC angle BAC apotome axis base BC is equal bisected centre of gravity circle ABCD circumference commensurable in length commensurable in square cone continued proportion cube cylinder diameter drawn parallel ellipse equal angles equiangular equimultiples Eucl frustum given straight line gnomon greater hyperbola incommensurable inscribed less Let ABC let the straight magnitudes medial straight line meet multiplying opposite sections parabola parallelogram perpendicular plane plane of reference point of contact polygon prime prism produced PROPOSITION 14 proved pyramid Q. E. D. PROPOSITION ratio rational straight line rect rectangle contained remaining angle right angles segment side similar Similarly solid sphere square number squares on AC straight line AB straight line AC straight lines commensurable surface tangent trgl triangle ABC twice the rectangle vertex