( idn ) 
a ftrait Line^ whofe Squares are equal to the fumms or 
differences of the Recaaugles and Squares of a Line, and 
its Segments and other affurned Lin^s, in all the variety 
and combinations thereof. 
Liber IIL 
In quo Loci variarum diffofitiomimLimhes ajjignanfur. 
Here is the determination of the L<^ci plam and Solidi 
that arife from feveral ways different from the farmeio 
For example, if irom two given points there be drawc 
feveral pairs of ftrait Lines, whofe Squares together be 
equal to a given Square, the concourfe of each pair is in 
the L0CHS planus of a Gircle there determined. And (the 
other conditions remaining) if of each pair of Strait Lines 
one be drawn from a given point, and the other be perpen- 
dicular to a given ftrait Line, the eoncurfe is in the Locm 
Solidns of an Ellipfis there determined, Auerwards there 
are feveral Problems concerning Arithmetical, Geometri- 
cal, and Harmonical mean proportionals betwixt t^^o 
•Ei^treams, and divers Methods for defcribtng the Gonick 
Seftions by points* There are alfo fubjoyned feveral 
denda to all tne preceding three Books. 
At the end of the Book are Prints of the Orthography 
and Gate o(a Stately Houfe built by the Author Vinventio 
Viviam at Florence^ with the infcriptions on the fiont 
thereof in honour of the French King Lewis XIV^ from 
whom he had an annual Peniion for manv yeaiii : and of 
the Family of the Great Duke ofTufcany 5 and of his Pre- 
ceptor the Famous G^Ulceo GaliUi^ with a Print of Gati-- 
tea's Bnjio in Brafs^ which is fet over the Gate. 
ERRATA. P., 1581. 1. after r. vitimijly,. 
Printed {ox Sam, Smhh and 5^/$/. Ji/'alforcl, Printers to .^e iloyal. 
Society, atthePra<:^^ Arms in. StP^/^^/s Cliuich-yard. 1704. 
