Great Books of the Western World, Band 11Robert Maynard Hutchins Encyclopædia Britannica, 1952 |
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Seite 142
... prime to C. But the product of A , B is E ; therefore E , C are prime to one another . For the same reason E , D are also prime to one another . Therefore each of the numbers C , D is prime to E. Therefore the product of C , D will also be ...
... prime to C. But the product of A , B is E ; therefore E , C are prime to one another . For the same reason E , D are also prime to one another . Therefore each of the numbers C , D is prime to E. Therefore the product of C , D will also be ...
Seite 143
... prime to one another . For the same reason AC , CB are also prime to one another . Therefore CA is prime to each of the numbers AB , BC . Again , let CA , AB be prime to one another ; I say that AB , BC are also prime to one another ...
... prime to one another . For the same reason AC , CB are also prime to one another . Therefore CA is prime to each of the numbers AB , BC . Again , let CA , AB be prime to one another ; I say that AB , BC are also prime to one another ...
Seite 181
... prime to the remaining number , namely A , B to C ; B , C to A ; and further , A , C to B. For let two numbers DE ... prime to one another . [ VII . 22 ] But , if two numbers be prime to one another , their sum is also prime to each ...
... prime to the remaining number , namely A , B to C ; B , C to A ; and further , A , C to B. For let two numbers DE ... prime to one another . [ VII . 22 ] But , if two numbers be prime to one another , their sum is also prime to each ...
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