Of OXFO^D^SHITiE. i^f 
the paper dance and play as before, and that in all parts of BC 
alike • but if you ftrike it ontht middle 2, the paper will notftir. 
The reafon whereof feems to be, thatC2. 2D being Vnifons to 
BC^fer Frincip. 2. if either be touched, BC will anfwer it, fa 
Prop. I. But having a difproportionate/e«^/^^ bigriefe^nd ten- 
fion to BC : if touched in 2 (whereby the whole ^ring is equally 
moved) it cannot affeO: it, by reafon of their diffeient vihrations ; 
as in the former Profofition^Q^. E. t>. 
Note that this, and (efpecially) the following Experiments^ 
itiuft be tryed curioufly by a gentle touch of the Hring (only fo 
hard as to make the papers move ) and that with a bow rather than 
the finger : For if CD be touched boldly in 2 C with the finger he 
means, not the bdw J by reafon of the ftrong motion communica- 
ted to its parts (and happily divided there,which perhaps may be 
the caufe too, why,if you ftrike it with the bow in 2, it fends forth 
forth a fcreaking broken found) BC will tremble, but with a mo- 
tion nothing fo brisks iiS when touched with but half the force any 
where elfe. 
Prop. 4. If theleffer of two Fifths, CD Fig. 8. be touched on 
either of its halves Ci.iT>^ each third part of the greater 
X, XZ,-^E, will anfwer it^ but if in the middle 2 the^ will 
not ftir. Which will plainly appear, 
By laying papers as before, on /, x, 3, ^0 '^^ then you ftrike CD 
on C2 or 2l>, you'l fee the papers on 3, z/, frisk and daunce, 
while thofe on x and;^ftand ftill, but if you ftrike it on 2 none 
will move. VemonHratio eadem eft cum fuperioribu6^ for Cii 2P are 
Vnifons^ and CI> an 05iave^ to PX, ZZ, ZE^per Brine, 2. 
If it be demanded, wherefore P.Z or X£ (wh^ieh 'AxeVnifons 
to CD per Princip.2,) do not vibrate when it is touched in 2. He 
anfwers, if PZ, then by the fame reafon XE alfo,and fo XZ would 
at the fame time be moved by contrary motions, as in Fi^. 16. 
Q^E.A, 
Prop. 5. If the greater of two fifths be touched^ Fig. 8. ori 
either of its thirds DX, XZ^ ZE^ each half of the lefer Ci^ 
iDydl anfwer it : but if in the divifions XZ^hey will not ftir. 
Experimentum (s^ demonftratio inftituuntur ut fupra^ DX^ ZZ, Z£, be- 
ing Vnifons to C2. 2P, and o^aves to CD ^ per Princip. 2. 
Pp If 
