Great Books of the Western World, Band 11Robert Maynard Hutchins Encyclopædia Britannica, 1952 |
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Seite 205
... incommensurable with the greater . And , if the square on the greater be greater than the square on the less by the square on a straight line incommensurable with the greater , and if there be applied to the greater a parallelogram ...
... incommensurable with the greater . And , if the square on the greater be greater than the square on the less by the square on a straight line incommensurable with the greater , and if there be applied to the greater a parallelogram ...
Seite 223
... incommensurable in square which make the sum of the squares on them medial , but the rectangle contained by them rational , be added together , the whole straight line is irrational ; and let it be called the side of a rational plus a ...
... incommensurable in square which make the sum of the squares on them medial , but the rectangle contained by them rational , be added together , the whole straight line is irrational ; and let it be called the side of a rational plus a ...
Seite 279
... incommensurable in length with FG . But , as AF is to FG , so is AI to FK ; [ VI . 1 ] therefore AI is incommensurable with FK . [ x . 11 ] And , since AG , AC are rational straight lines commensurable in square only , AK is medial ...
... incommensurable in length with FG . But , as AF is to FG , so is AI to FK ; [ VI . 1 ] therefore AI is incommensurable with FK . [ x . 11 ] And , since AG , AC are rational straight lines commensurable in square only , AK is medial ...
Inhalt
DEFINITIONS POSTULATES | 1 |
DEFINITIONS | 30 |
DEFINITIONS | 41 |
Urheberrecht | |
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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