You are here: BP HOME > BPG > Euclid: Elementa > record
Euclid: Elementa

Choose languages

Choose images, etc.

Choose languages
Choose display
    Enter number of multiples in view:
  • Enable images
  • Enable footnotes
    • Show all footnotes
    • Minimize footnotes
Search-help
Choose specific texts..
Click to Expand/Collapse OptionTitle
Click to Expand/Collapse OptionPreface
Click to Expand/Collapse OptionBook I
Click to Expand/Collapse OptionBook ΙI
Click to Expand/Collapse OptionBook IΙΙ
Click to Expand/Collapse OptionBook IV
Click to Expand/Collapse OptionBook V
Click to Expand/Collapse OptionBook VI
Click to Expand/Collapse OptionBook VII
Click to Expand/Collapse OptionBook VIII
Click to Expand/Collapse OptionBook ΙΧ
Click to Expand/Collapse OptionBook Χ
Click to Expand/Collapse OptionBook ΧI
Click to Expand/Collapse OptionBook ΧIΙ
Click to Expand/Collapse OptionBook ΧIΙΙ
eng
Similarly also, if BC be bisected, the angle BCG, that is, the angle ACD [I. 15], can be proved greater than the angle ABC as well.
lat Clavius
Quod si latus C A, producatur ad G; & A B, diuidatur bifariam in H; extendaturque recta C H I, ut H I, æqualis sit rectæ H C, & ducatur recta I A: demonstrabitur eadem prorsus ratione, angulum externum G A B, maiorem esse interno angulo, & opposito A B C; Est autem 1 angulus D A C, angulo G A B, æqualis, cum lineæ B D, C G, se mutuo secent in A. Igitur & angulus D A C, maior erit interno & opposito angulo A B C. Est autem idem angulus D A C, maior quoque ostensus angulo interno & opposito A C B.
1. 15. primi.
kin 幾何原本
試自丙甲線,引長之,至庚。次以甲乙線兩平分于辛本篇十。自丙至辛。作直線,引長之。從辛外截取辛壬,與丙辛等本篇三。次自甲至壬,作直線。依前論,推顯甲辛壬,辛丙乙,兩角形之各邊,各角,俱等。則壬甲辛,與辛乙丙,兩角亦等矣。夫壬甲辛。乃庚甲乙之分。必小于庚甲乙也。庚甲乙,又與丁甲丙,兩交角等本篇十五。則甲乙丙内角。不小于丁甲丙外角乎。其餘乙丙上作外角,俱大于相對之内角。
http://www2.hf.uio.no/common/apps/permlink/permlink.php?app=polyglotta&context=record&uid=25274548-261e-11e0-8f33-001cc4df1abe
Go to Wiki Documentation
Enhet: Det humanistiske fakultet   Utviklet av: IT-seksjonen ved HF
Login