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..
Euclid: Elementa
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
Back to library
Euc
Previous Next
gre V,26
No Greek
eng
Proposition 26. If the ratio between a first and a second magnitude is larger than that between a third and a fourth, then, invertendo, the ratio between the second and the first is smaller than that between the fourth and the third. If a:b>c:d then b:a<d:c.1
1. Translation of the Chinese by Engelfriet, p. 257.
lat Sic
No Latin
lat Gerard
No Latin
lat Adelard
No Latin
lat Hermann
No Latin
ara Uppsala
No Arabic
ara Tuṣi
No Arabic
ara Nairizi
No Arabic
per Shirazi
.
san
No Sanskrit
lat Clavius
No Latin
kin 幾何原本 p. 269-270
第二十六題
第一與二幾何之比例。大於第三與四之比例。反之。則第二與一之比例。小於第四與三之比例。
解曰。一甲與二乙之比例。大於三丙與四丁。題言反之。二乙與一甲之比例。小於四丁與三丙。(p. 二七○)
論曰。試作戊與乙之比例。若丙與丁。卽甲與乙之比例。大於戊與乙。而甲幾何大於戊。本篇　\\　十則乙與戊之比例。大於乙與甲也。本篇　\\　八反之。則乙與戊之比例。若丁與丙本篇　\\　四而乙與甲之比例。小於丁與丙。
Permanent link
http://www2.hf.uio.no/common/apps/permlink/permlink.php?app=polyglotta&context=record&uid=baacbdd0-5a6d-11e1-ab97-001cc4df1abe
Go to Wiki Documentation
Enhet: Det humanistiske fakultet   Utviklet av: IT-seksjonen ved HF
Login