Great Books of the Western World, Band 11Robert Maynard Hutchins Encyclopædia Britannica, 1952 |
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Seite 100
... triangle AHC , and of the base CD and the triangle ADC other , chance , equimultiples , namely the base LC and the triangle ALC ; and it has been proved that , if the base HC is in excess of the base CL , the triangle AHC is also in ...
... triangle AHC , and of the base CD and the triangle ADC other , chance , equimultiples , namely the base LC and the triangle ALC ; and it has been proved that , if the base HC is in excess of the base CL , the triangle AHC is also in ...
Seite 106
... triangle having the angle BAC right , and let AD be drawn from A perpendicular to BC ; I say that each of the ... triangle ABC is equiangular with the triangle ABD . Therefore , as BC which subtends the right angle in the triangle ABC is ...
... triangle having the angle BAC right , and let AD be drawn from A perpendicular to BC ; I say that each of the ... triangle ABC is equiangular with the triangle ABD . Therefore , as BC which subtends the right angle in the triangle ABC is ...
Seite 342
... triangle EHG is equal and similar to the triangle KDL . For the same reason [ 1.4 ] the triangle AEG is also equal and similar to the triangle HKL . Therefore the pyramid of which the triangle AEG is the base and the point H the vertex ...
... triangle EHG is equal and similar to the triangle KDL . For the same reason [ 1.4 ] the triangle AEG is also equal and similar to the triangle HKL . Therefore the pyramid of which the triangle AEG is the base and the point H the vertex ...
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