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
Proposition 33. If a:b>c:d then (a-c):(b-d)>a:b.
lat Clavius
No Latin
kin 幾何原本 p. 274
第三十三題
此全與彼全之比例。大於此全截分、與彼全截分之比例。則此全分餘、與彼全分餘之比例。大於此全與彼全之比例。
解曰。甲乙全與丙丁全之比例。大於兩截分、甲戊與丙己。題言兩分餘、戊乙與己丁之比例。大於甲乙與丙丁。
論曰。甲乙與丙丁之比例。旣大於甲戊與丙己。更之。卽甲乙與甲戊之比例。亦大於丙丁與丙己也。本篇 \\ 廿七又轉之。甲乙與戊乙之比例。小於丙丁與己丁也。本篇 \\ 三十又更之。甲乙與丙丁之比例。小於戊乙與己丁也。本篇 \\ 廿七戊乙與己丁。分餘也。則分餘之比例。大於甲乙全、與丙丁全矣。依顯兩全之比例。小於截分。則分餘之比例。小於兩全。
http://www2.hf.uio.no/common/apps/permlink/permlink.php?app=polyglotta&context=record&uid=6d39aa76-5a73-11e1-ab97-001cc4df1abe
Go to Wiki Documentation
Enhet: Det humanistiske fakultet   Utviklet av: IT-seksjonen ved HF
Login