^88 Th£^^(atural Hijlory 
nerally received and what kind of new notation muft be intro- 
duced to exprefs it, with divers methods of fquar/ng the Circle^ 
EUipfis^ and Hyperbole^ fofar as the nature of Numbers wiW bear , 
having apply 'd his method of Infinites in order thereunto ; as alfo 
for reftifyingof C*«rz/e-/im, "^iMingof Curve-furfaces^ fquaring 
of innumerable forts of Curve-lined figures, plain and folid (a- 
mongft which are a multitude of figures of infinite lengthy and/- 
nite content) determining their Ce/z/erj of Gravity^ and other aC" 
cidents, 
198. He has alfo adjufted the ftrength of fercuffions and reflexi- 
ons (or repercuffiions) and other motions to Geometrical meafures, 
deduced from principle?of Elafticity ; and has eftimated the ar- 
tificial force acquired in all forts of Mechanick. Engins^ deduced 
from our common principle of the Reciprocation of flrength and 
time ; with many other improvements of Arithmetick-, Algebra^ 
Geometry^ MechanickSt and other parts of Mathematickjy in his 
^rithmetick. of Infinites^ his Treatife of the Cycloid^ with that ad- 
)oyntdL of ^tre^ification of Curves \ his Treatife of M^j/if?/?, and 
other his Printed Works, 
199. In Mufick (which is ^rithmetick adorned with founds') 
to pafs by a Harpfecbord that I met with at Sir Tho, Penyfions with 
Cats-gut firings. It hath been lately obferved here at Oxford^ that 
though Viol or Lutt firings rightly tuned do affeft one another, 
yet mofl of them do it not in all places alike, as has till now been 
fuppofed : for if the leffer of two Craves be touched with the 
hand or bow, each half of the greater will anfwer it, but will 
ftand flill in the middle ; and if the greater of the two Craves be 
touched on either of its halves^ all the lefer will anfwer it, but if 
touched on the middle^ the leffer will not flir any where at all. So 
if the lefer firing of two fifths be touched on either of its halves^ 
each third part of the greater will anfwer it, but if on the middle 
they will not flir ; and if the greater of two fifths be touched on ei- 
ther of its thirds, each half of the lefer will anfwer it, but if in 
the divifions they will not flir : and fo of tvpelfths^ fifteenths, isrc, 
200. W h'ich Phdenomena I fhall always gratefully acknowledge 
were fir ft difcovered to me by the ingenious Thomas Pigct B. A. 
and Fellow of Wadham College, which have alfo been obferved for 
about thefe t'^oyears^y the no lefs ingenious William Nobleli, A. 
" Vid. /irithmetkamlnf.nitorumi'Prop, 11)0. cum SchoHofequ, 
of 
