monftrations of the more common Propofitions, contained chiefly in the 
firft fix Books o^Euclids Elements, and without recourfe to EficUd^ or any 
other Geometrical Writer for proof of any thing afferted in thofe n,w E- 
lements. 
Whereto is added the folution of an jirithmetkal Vrvhleme, which the 
Author calls Magick^Squares^ viz. 
A fijuare of Cells being given, even or odd, filled \^kb Numbers^ either in 
an Arichmetical 'or Geometrical Progrejfion fo to eUjpofe thofe Numbers 
into another like [quare of Cells, that all the Numbers of each band^ rs>hether to 
the right or to the left, upwards or downwards, or diagonally, the Numbers gi^ 
vm being in an Arithmetical Vrogreffion, added together^ do always make the 
fame Summe,^»^ thofe in ^Geometrical Vrog;feffion^\Ai\^\\^^ into one another^ 
do always maks the fame Produd. 
IL SYNOPSIS OPTICA, Autk HONORATO FA- 
BRI, SQC.fefu, lAX^ixxmG2\\.in/^. An.i66j. 
This Author pretends to have comprifed in this Treatife, containing 58 
VropofttioHs, befides many Corollaries^ all what hath been hitherto difcover'd 
in 0/»r;V;^j,and to have added thereto many curious and ufeful remarks, not 
mentioned in other Authours. 
He begins with that part, which is themoft fimple, and confiders the 
Streight Ray, call'dby the general name of opticks : where he fliews,what 
is the caufe of thofe furprizing effeds of the ?erfpe6live, which fo pleafingly 
deceive the eyc^eitamining there many curious Experiments. 
In the fecond part (the Catoptricks^ that have for their Objeft Rays Rs- 
pUed) he gives an Account of all the Apparences in lookjng-glaffes^ Con- 
Yex,Concave,Cylindrical, c^r. 
In the third ( ihcDioptricks^xh^it confider Rays RefraUed) he treats large- 
ly of Telefcopes of all forts. Spherical, Elliptical, Hyperbolical ; as alfo of 
Microfcopes^ and the eifeds of all of them. Where among many other par- 
ticulars, ne delivers and commends, as an invention of Eufiachio Divini^ the 
way of furnifhing aTf/f/ro/?^ with two Eye-Glaffes, outwardly^^f, and in- 
wardly convex^ fo as that tney touch one another in the center of their con- 
vex fuperficies. 
In this part be explicates the Dodrine of Refradions and Parallaxes ^ 
annexing feveral Particulars concerning Comets^ the Ring of Saturn J^c, and 
concluding all with an Appendix, wherein having refuted the Spiral Hype- 
/^f//,dcvifed to fupport he ?tolemaick^ fyfteme of the world, he advanceth 
a new one, judged by bim very futable to render an account of the Motion 
of the Celeftial Bo^i^s \o the fime fyfteme that fuppofeth the Earths im- 
mobility ,which h^ feems unwilling to deferr. 
III. DH VI PERCUSSIONIS, JOH.ALPHONS. BQRELLI. Bonon. 
niacin 4. 1667. 
