Great Books of the Western World, Band 11Robert Maynard Hutchins Encyclopædia Britannica, 1952 |
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Seite 599
... diameter of the hyperbola is bounded in the same way , given a definite magnitude , and becomes " the second diameter . " But so far transverse and upright diameters , or transverse and second diameters , are distinct things in the case ...
... diameter of the hyperbola is bounded in the same way , given a definite magnitude , and becomes " the second diameter . " But so far transverse and upright diameters , or transverse and second diameters , are distinct things in the case ...
Seite 631
... diameter . E B Let there be a parabola or hyperbola whose diameter is the straight line AB , and let the straight line CDE meet it at D , and , when produced both ways , let it fall outside the section . I say that it will meet the ...
... diameter . E B Let there be a parabola or hyperbola whose diameter is the straight line AB , and let the straight line CDE meet it at D , and , when produced both ways , let it fall outside the section . I say that it will meet the ...
Seite 701
... diameter of the section , and CD touches it at A , therefore CD is parallel to the ordinates to AB ( 1. 17 ) . Then for the same reasons BF is also parallel to the same ordinates . Therefore CD is also parallel to EF . Then let AB not ...
... diameter of the section , and CD touches it at A , therefore CD is parallel to the ordinates to AB ( 1. 17 ) . Then for the same reasons BF is also parallel to the same ordinates . Therefore CD is also parallel to EF . Then let AB not ...
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