The Elements of EuclidJohnson and Warner, 1811 - 518 Seiten |
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... Greek editionɛ we now have , I found that Theon , or whoever was the editor of the present Greek text , by adding some things , suppressing others , and mixing his own with Euclid's demonstrations , had chang ed more things to the worse ...
... Greek editionɛ we now have , I found that Theon , or whoever was the editor of the present Greek text , by adding some things , suppressing others , and mixing his own with Euclid's demonstrations , had chang ed more things to the worse ...
Seite 82
... Greek text and translations from it , the angle of the semicircle is said to be greater than any acute rectilineal an- gle , and the remaining angle less than any rectilineal angle . ' COR . From this it is manifest , that the straight ...
... Greek text and translations from it , the angle of the semicircle is said to be greater than any acute rectilineal an- gle , and the remaining angle less than any rectilineal angle . ' COR . From this it is manifest , that the straight ...
Seite 93
... falls without the right angle CAB , but the cir- cumference of the less segment ADC falls within the right angle CAF . And this is all that is meant , when in the Greek text Book III . and the translations from it , the OF EUCLID ..
... falls without the right angle CAB , but the cir- cumference of the less segment ADC falls within the right angle CAF . And this is all that is meant , when in the Greek text Book III . and the translations from it , the OF EUCLID ..
Seite 273
... Greek , because the pyramid , in what follows , is supposed to be circumscribed about the cone , and so must have the same vertex . And the same change is made in some places following . Book XII . FP , PG , GR , RH 2 M 7 273 OF EUCLID ...
... Greek , because the pyramid , in what follows , is supposed to be circumscribed about the cone , and so must have the same vertex . And the same change is made in some places following . Book XII . FP , PG , GR , RH 2 M 7 273 OF EUCLID ...
Seite 295
... GREEK TEXT ; AND THE REASONS OF THE ALTERATIONS WHICH HAVE BEEN MADE . AS ALSO OBSERVATIONS ON SOME OF THE PROPOSITIONS . BY ROBERT SIMSON , M. D. EMERITUS PROFESSOR OF MATHEMATICS IN THE UNIVERSITY OF GLASGOW . PHILADELPHIA , PRINTED ...
... GREEK TEXT ; AND THE REASONS OF THE ALTERATIONS WHICH HAVE BEEN MADE . AS ALSO OBSERVATIONS ON SOME OF THE PROPOSITIONS . BY ROBERT SIMSON , M. D. EMERITUS PROFESSOR OF MATHEMATICS IN THE UNIVERSITY OF GLASGOW . PHILADELPHIA , PRINTED ...
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altitude angle ABC angle BAC base BC BC is equal BC is given bisected Book XI centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC meet multiple parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition pyramid Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar solid angle solid parallelopiped square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore