C ) 
ers is the Sqmre root of the Higher h together with 28 M^efil^ns, exer- 
cifingfuch Compomd E^mtions^ re[eivedal[o in both kindi of Algebra-: 
Of Arithmetical Progrejjlon^ where Mr»0\xghtrcd*s 20 ^ineftions uf- 
on thM fuhjeEi are explained. 
The Second The Complect DQElrine of the ExtraBhn of all kjnds 
of KootSy ^oz-^i^ N umbers And Letters : Of Geometrical Proportion : 
Theorems abom Continml Proporuionds \ together with 20 ^^eflions 
about the fame y refolved by Literal Algebra: How to find out- ail the 
Aliqaoc parts or fuH Dlvijors as well 0/ Numbers of SluAKtlties ex- 
prefi Letters j and to find ont the fmallejl Nkmber that fhall have a 
given Multitude of AV\(\nox. parts : The Arithmetic of Surd Numbers 
and Snrd Quantities, exprefi by Letters ^ where alfo of the nature and 
€onfirti5iion of Binomials , and how to extra5i Roots out of them : An 
Explication of Sim. StQVcn% General Method of refohlng all manner of 
Equations in Numbers i Extra^ions out of Yieta and Des- Car tes for 
f he lik^ : The manner of refolving ^uefiims bj putting a different Let" 
terfor every ^antity unknown ^ when many are fought : The manner of 
refolving ^ueHions which h Ave InnumttM^ Anfwerr, 
The Sh'itii Boi\ is a Comment upin the hardefi- and choicefi: MjiS' 
fiionsy that are found in the fecondy tkirdy fourth; fifth and Jixth Books of 
Drophantus his Arithmetics with other ]^efiions of the hke nature^, 
invented upon the fame Grounds by Vieta,Bachet,Ferraat5<!i»<sl <?^/?fr/. 
The Fourth fhem the life of Algebraical Art in the Geometrical 
Refolution and Compofition of plane Problems ^ viz ■ fuch as may be'efeSled 
by drawing only Right Lines ^and defer ibing the Cifcumferences of Circles: 
where the manner of finding out Theorems and Problematic^ ConftruEli-' 
ons, with their Demsnfirations by the fieps of the Algebraic Refolut ion ^ is 
clearly exhibited. Another Advertiferaent. 
^hereis a Book, preparing for the Prefs , intituled STNT AG MA' 
MUSICtAB h in which the Eminent Author (John BirchenOia 
Ef^y) treats 0/ J/^/r^Pbilofophically,MathematicaIly,^W Pradi- 
caily. And becaufe the Charge of bringing this Bookjothe Prefs will be 
very great, efpecialiy the feveral Cms therein, with their Printing ojf^' 
amounting by Compmatim to more than 500 /. be fides other great Expen-. 
fesfor the Impreffion ofthefaid Bo$k^ , divers Perfons,for the Encourage-- 
ment of the faid Author ^have Advanced feveral Sums of Money ; who for. 
every ZQ s»fo advanced are to receive one of the faid Books fairly bound up-^ 
she Author engaging himfe If under his Hand md Seal to deliver to each " 
^fthe Suyfcrlbers^and Advancers of fo much money ^one of the fdhBooks at 
sr before the 24?^ ^?/March i6y^.In which Excellent JVorkjhere will be» 
i.A Difcovery if the Reafon and Caufes of Mufical Sounds and H^j -^ 
mony:A compleat Scale of Mfifick^(never before perfe^ed:) The Propor^- ' 
tions of all Confonant and Dijfonant Sounds ^ufeful in .Mufick-, demonjlr^ -' 
„ ted by intire Number s\whlch the Author fmh hath not been done by an)':)... 
The differing Opinions ofM^tfical ' Authors reconcUsd ; Of Sounds gene^ . 
