[551] 
V. 
JnaljJiS Geometrica^ Jhe noDa ^ Dera Methodus Re- 
[ohendiy tam Prohlemata Geometnca ^ _ quam 
Jrithmeticas ^^Jliones. Pars primay de Plmis ; 
Iuthore D. Jntonio Hugone de Omerique San- 
lucarenfe. Sold by Sam* Smith and Benj. Walford 
at the Prince's in St. Paul's Church-yard London- 
T*^H E Author of this Bock being of opinion that 
P the Method of deducing Geometric Demonftra- 
tions from an Algebraic Calculation, is forced and un- 
natural 5 has ftudied hov/ to find an Analyfis purely 
Geometrical, from which a Synthefis might eafily b€ 
derived , according to the Method of the Antients. 
He begins with an Introdudion confifting of about 
twenty Geometric Propofitions 5 which are fo many 
Lemmas , in order to make his Analyfis the more eafy ^ 
the chief Propofition of his Introduction , and which 
hehasoccafiontoufe moft, is this: To find, two lines 
whofe fum or dt^erence is given y that fly all he reciprocd 
to tm given lines • this comprehending the Conftruction 
of Quadratic Equations. He divides the reft of his 
Book intoFour Parts. IntheFirfthe confidersthofe Pro- 
blems that are folvM by firnple Proportions. In the 2d, 
he confiders thofe that are folv'd by ufing Compound 
Ratio, In the 3«^. he refolves thofe wherein it is necef. 
fary to confider Quantities conneded by the Signs -4» 
and — - 5 And in the ^th. he confiders Indeterminate 
Probkms. 
He Prefixes to hisFirft Part fome General Rules how 
to proceed in a Geometric Inveftigaiion ; and becaufs 
thefe Rules contain what is moft material in his Metliodj 
111 ws, 
