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pappus writes (see for example ) that euclid was:
Ükski euclid teoseid on eessõna, vähemalt ükski on tulnud ette, et meid nii, et see on väga ebatõenäoline, et kunagi eksisteerinud, et me ei näe oma iseloomu, kui saame mõne muu kreeka matemaatikud, mis laadi nende prefaces . pappus kirjutab (vt näide), et euclid oli:
grosseteste realised that the hypothetical space in which euclid imagined his figures was the same everywhere and in every direction.
grosseteste aru, et hüpoteetiline ruum, kus euclid kujutleda tema andmetel oli sama igal pool ja igas suunas.
given these views it is not surprising that his 1569 textbook on geometry contained strong criticisms of euclid 's elements.
võttes arvesse neid seisukohti ei ole üllatav, et tema 1569 õpik käsitleb geomeetriat sisaldas tugevat kriitikat euclid 's elements.
certainly does not prove that euclid was an historical character since there are many similar references to bourbaki by mathematicians who knew perfectly well that bourbaki was fictitious.
kindlasti ei tõenda, et euclid oli ajaloolise sest seal on palju sarnaseid viiteid bourbaki poolt matemaatikud, kes teadis väga hästi, et bourbaki oli fiktiivne.
again the fact that euclid undoubtedly based the elements on previous works means that it would be rather remarkable if no trace of the style of the original author remained.
isegi kui võtame (i), siis on vähe kahtlust, et euclid ehitada tugevat kooli matemaatika on alexandria.
certainly vincenzo did not like the idea and resisted strongly but eventually he gave way a little and galileo was able to study the works of euclid and archimedes from the italian translations which tartaglia had made.
kindlasti vincenzo ei meeldinud idee ja seista kindlalt, kuid lõpuks ta andis nii vähe ja galileo suutis uuring teoste euclid ja archimedes itaalia tõlked, mis tartaglia teinud.
... denote by s the system of geometry based on the hypothesis that euclid 's fifth postulate is true, and by s the system based on the opposite hypothesis.
... tähistamiseks, mida s süsteemi geomeetria põhineb eeldusel, et euclid 's viies hüpotees on tõsi, ja s põhinev süsteem vastupidine hüpotees.
in fact there is ample evidence that euclid is using earlier textbooks as he writes the elements since he introduces quite a number of definitions which are never used such as that of an oblong, a rhombus, and a rhomboid.
tegelikult on piisavalt tõendeid, et euclid kasutab varasema õpikute kui ta kirjutab elements kuna ta tutvustab üsna hulga mõisteid, mis on kunagi kasutanud nagu on piklikud, romb ja rombikujuliste.