Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of figures

< >
[1. Figure]
[2. Figure]
[3. Figure]
[4. Figure]
[5. Figure]
[6. Figure]
[7. Figure]
[8. Figure]
[9. Figure]
[10. Figure]
[11. Figure]
[12. Figure]
[13. Figure]
[14. Figure]
[15. Figure]
[16. Figure]
[17. Figure]
[18. Figure]
[19. Figure]
[20. Figure]
[21. Figure]
[22. Figure]
[23. Figure]
[24. Figure]
[25. Figure]
[26. Figure]
[27. Figure]
[28. Figure]
[29. Figure]
[30. Figure]
< >
page |< < of 213 > >|
FED. COMMANDINI
partes d. in pyramide igitur inſcripta erit quædam figura,
ex priſinatibus æqualem altitudinem habentibus cóſtans,
ad partes e:
& altera circumſcripta ad partes d. Sed unum-
quodque eorum priſmatum, quæ in figura inſcripta conti-
nentur, æquale eſt priſmati, quod ab eodem fit triangulo in
figura circumſcripta:
nam priſma p q priſmati p o eſt æ-
quale;
priſma s t æquale priſmati s r; priſma x y priſmati
x u;
priſma η θ priſinati η z; priſina μ ν priſmati μ λ; priſ-
ma ρ σ priſmati ρ π;
& priſma φ χ priſinati φ τ æquale. re-
linquitur ergo, ut circumſcripta figura exuperet inſcriptã
priſmate, quod baſim habet a b c triangulum, &
axem e f.
Illud uero minus eſt ſolida magnitudine propoſita. Eadȩ
ratione inſcribetur, &
circumſcribetur ſolida figura in py-
ramide, quæ quadrilateram, uel plurilaterã baſim habeat.

PROBLEMA II. PROPOSITIO XI.

Dato cono, fieri poteſt, ut figura ſolida in-
ſcribatur, &
altera circumſcribatur ex cylindris
æqualem habentibus altitudinem, ita ut circum-
ſcripta ſuperet inſcriptam, magnitudine, quæ ſo-
lida magnitudine propoſita ſit minor.
SIT conus, cuius axis b d: & ſecetur plano per axem
ducto, ut ſectio ſit triangulum a b c:
intelligaturq; cylin-
drus, qui baſim eandem, &
eundem axem habeat. Hoc igi-
tur cylindro continenter bifariam ſecto, relinquetur cylin
drus minor ſolida magnitudine propoſita.
Sit autem is cy
lindrus, qui baſim habet circulum circa diametrum a c, &

axem d e.
Itaque diuidatur b d in partes æquales ipſi d e
in punctis f g h _K_lm:
& per ea ducantur plana conum ſe-
cantia;
quæ baſi æquidiſtent. erunt ſectiones circuli, cen-
tra in axi habentes, ut in primo libro conicorum, propoſi-

Text layer

  • Dictionary

Text normalization

  • Original

Search


  • Exact
  • All forms
  • Fulltext index
  • Morphological index