Great Books of the Western World, Band 11Robert Maynard Hutchins Encyclopædia Britannica, 1952 |
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Seite 121
... similar to a given one : thus the given rectilineal figure must not be greater than the parallelogram described on the half of the straight line and similar to the defect . Let AB be the given straight line , C the given rectilineal ...
... similar to a given one : thus the given rectilineal figure must not be greater than the parallelogram described on the half of the straight line and similar to the defect . Let AB be the given straight line , C the given rectilineal ...
Seite 323
... similar to the parallelogram KB . For the same reason the parallelogram KH is also similar to the parallelogram GF , and further , FE to HB ; therefore three parallelograms of the solid CD are similar to three parallelo- grams of the ...
... similar to the parallelogram KB . For the same reason the parallelogram KH is also similar to the parallelogram GF , and further , FE to HB ; therefore three parallelograms of the solid CD are similar to three parallelo- grams of the ...
Seite 349
... similar to the parallelogram EQ . For the same reason BN is also similar to ER , and BK to EO ; therefore the three parallelograms MB , BK , BN are similar to the three EQ , EO , ER . But the three parallelograms MB , BK , BN are equal ...
... similar to the parallelogram EQ . For the same reason BN is also similar to ER , and BK to EO ; therefore the three parallelograms MB , BK , BN are similar to the three EQ , EO , ER . But the three parallelograms MB , BK , BN are equal ...
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