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,28
No Greek
eng
If the ratio bewteen a first and a second [quantity] is greater than that between a third and a fourth, then, componendo, the ration of the first and the second together to the second will also be greater than that of the thrid and the fourth together to the fourth. If a:b>c:d then (a+b):b>(c+d):d.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. 270-271
第二十八題
第一與二之比例。大於第三與四之比例。合之。則第一、第二、幷、與二之比例。亦大於第三、第四、幷、與四之比例。
解曰。一甲乙與二乙丙之比例。大於三丁戊與四戊己。題言合之。則甲丙與乙丙之比例。亦大於丁己與戊己。(p. 二七一)
論曰。試作庚乙與乙丙之比例。若丁戊與戊己。卽甲乙與乙丙之比例。大於庚乙與乙丙。而甲乙幾何大於庚乙矣。本篇　\\　十此二率者。每加一乙丙。卽甲丙亦大於庚丙。而甲丙與乙丙之比例。大於庚丙與乙丙也。本篇　\\　八夫庚乙與乙丙之比例。旣若丁戊與戊己。合之。則庚丙與乙丙之比例。亦若丁己與戊己也。本篇　\\　十八而甲丙與乙丙之比例。大於丁己與戊己矣。
Permanent link
http://www2.hf.uio.no/common/apps/permlink/permlink.php?app=polyglotta&context=record&uid=0c6f4514-5a70-11e1-ab97-001cc4df1abe
Go to Wiki Documentation
Enhet: Det humanistiske fakultet   Utviklet av: IT-seksjonen ved HF
Login