C Sxf3 ) 
irs u the S^um root of the^Higher ^ together mh Z% ^jllons, exer^ 
cifinffffch Compoftnd M^mions^ refshedalfd in imh ^nAs ^^ 
Of AmhmetkAl BrGgreJpon , yfhere Mr. O agbtr ed*s ZO 
on that fHbjs^ Are exfldined, . ^ ' 
The S ex:o n d i Th^ ComfleAt DoBrlne of the Extra^t^n (fWki^df 
o/Rmsy Mifi^nmbcn md Letters r Of Geomaried Frsporthn : 
Theorems akoHt Continptd Frofortionals \ together with 20 \^efiiohs 
dQHt the fame y refolved by Literal Algebra: H&w to find em dU the 
Aii^MOt parts or fuB Dlvifsrs m mfl o/Nurabers of ^antlites f 'x- 
frefijj Letters j and to find out the fmallefi NHmber that fhall have ' a-- 
ghen M^ltitHdeofh\.\({MOt parts : The Arithmttk 'of Surd Numbers 
and Surd ^MAntities^ exprefi by LtWVS • t^here dfo of the nature and 
conflrti^ion of Binomials , mdJ:ow to extra^ Roots ont 'of them : An 
Explication Sim. Steven's General Method ofrefolving aUmanner^of 
Equations in Numbers ; - Extra^knS oHt «/ Vieta and Des- Cartes fer 
theli\e : The manner ofrefolving ^uefiions bj .pming a diferent Lei'^ - 
terfer every ^^antity mk^ewn^ when many are foHght t The mmner of 
re/olving ^^Bions which have InnumztM^ Anjwers. / 
The f bird Bo»l^ is a Comment upon the harAefi andchoicefi 
ftions, that arifomd inthefeC9nd,'third,fomh,fifth and jixth Bo^^ of 
Diophantus to Arithmetic j with other ^eflions of the tike natftre, 
invented upon the fame Grounds by Vieta,Bacliet,Fcrmat,/i;?5 others. 
The Fourth fitews the Ufe of Algebraical Art in the Geometrical 
Refolutkn and Compofition of plane Problems ^ \'\% fuch as may be efe^^d 
by drawing ody Right Linei^and dejcribingthe Circumferences of Circles: 
Where the manner of finding out Theorems and ?roblematicd ConflrnUi^ 
ens., with their Demonfirations by the fiepJ of the Algehr aic Refolution^ is , 
clearly exhibited. Another Advertifcmenf . 
^hereis a Book^ preparing for the Frefs , intituled STNTAGM A \ 
MVSICtA^ S in which the Eminent Author ( John Birchenfha . 
Efq-^y rr^^f .p/ J/^/c^J^Philo 
cally. And beCAufe the Charge of bringing this Boof^toth-e Prefs will be < 
i^ery great, iffeciMy the fever ai Cuts therein^ with their Prming 
amounting by Computation to more than 500 /. he fides other great Expe fi- 
fes for the Impreffson ofthefaid Book^, divers Feffons^for the Encourage-^ 
ment ofthefaid Author, have Adv anced fever d Snms of Money who for 
every zo.s.fo advanced are to receive one ofthefaid Books fairly bomdi^p^ 
the Author engaging himfe If finder his Hand Sedjo deliver to each - 
4f the SubfcrlherSyand Advancers of fo mmh money, one of the fai^B ats . 
or before the 24fi? f>/March ihjj^.In whichlExcelhntWorkjher^ wilt be^ , 
I A Difcovery rfthe Reafon and Cmfes of Muficd::S$unds and Har- 
mony : A compleap Scale of Miifick^{never before per feUed:) The Tropor" 
tions of all Confonant and Diffonant Sounds, ufefd in M^ck^demonfira- 
ted by intlre Numbers {which the Amh&r fdph^hath-not heenjdom by myi^) 
The differing O^nim^^of M^fic^^^ r^c§mkdi'7^'^£oundsg;ene^ 
