Marci of Kronland, Johannes Marcus, De proportione motus figurarum recti linearum et circuli quadratura ex motu, 1648

Page concordance

< >
Scan Original
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
< >
page |< < of 145 > >|
1pla, per 1. lemma: erit grauitas quieſcens in utroque triangulo
æqualis; ac proinde æqualiter grauitabit.
At verò ſi augeatur
ratio grauitatis moventis ad quieſcentem; quia tum minor
grauitas quieſcit, minùs quoque hypomochlium grauitabit.
THEOREMA XV.
Figura rectilinea, quæ plura habet latera, velociùs mouetur in
eodem plano inclinato.
Moveatur in eodem plano AN triangulum ABC, & quadra­
tum AEFC: Dico huius motum eſſe velociorem.
Secetur
enim in triangulo ABC ſemidiameter figuræ motûs DI â li­
neâ hypomochlij CL bifariam & æqualiter in L, per primum
lemma: & ducatur in quadrato AEFC ſemidiameter figuræ
motûs GH: quæ maior erit ſemidiametro figuræ motûs DI.

Propterea quòd per lemma 3 maior ſit GO quàm DO. Etad­
ditâ communi OP maior GP, quàm DP.
Et quia ut GP ad

Text layer

  • Dictionary
  • Places

Text normalization

  • Original

Search


  • Exact
  • All forms
  • Fulltext index
  • Morphological index