( 2248 ; 
boy, (that can but multiply whole numbers, and fracaions,) 
could have informed him better, who would firft have reduced 
the fraction to ftnaller terras, putting 14I for 147I, and then 
multiplying 1 4f into it lelfj would have (hew'd him, that the 
Square of 14—5 that is, 14^-^ multiplied into it felf, is (not 200, 
but)2o44fr 
But the Root of 20O5 is the faid number 1072, which islefs 
than 14— 3 and bigger than 147}: the Square of that 
14? being fomewhat more than 200 • and, of this, fome- 
147 what lefs ^ but either of them within an unite of 
56 it. 
14 But this fecond Propofitioo, is (as I faid) contra- 
4 didled by his third,which makes the Square of 1 47; to 
4 be 2O0~5{by what computation^ we lhall lee by and 
^ by 5 ) and then finds fault,that this and the former do 
'^o^^ not agree* (Bnt 'tis no wonder they fliould difagree^ 
when both are falfe.) The fame ^Square (faith he^ cal* 
culated Geometrieally^conjijieth {by Euclid,2,^^) of the fame numeral 
great Square 1^6^ and of trvoReHangles under tbe greatejl fide 
and the Remainder of the fide^ and further of the Square of the lefs feg^ 
ment'-y which altogether make "loc-^, (He might have learned 10 
reckon better^ but let us fee how he makes it out.) As ly the 
operaticn it /^//(faiih he) appeareth thus : The fide of the greater 
fegment is 1475 (this waSjbuc now, the fide of the whole Iquare, 
how comes ic now to be but the fide of the greater Segment?) 
yphich multiplied unto it felf (faith tie)makes 20c : (no^but 204;! : ) 
The pr&duB 0/14 the greatefi Segment into the two FraUions 
is 4, and that added to \ g6 maizes 200 ; (if by two fradhons r| , 
hemean,as)ieoughc by his Rule,the Frad:ion4 twicetakenj or 
the double of it, it will be not 4, but 8, and this added to 196 
make 204 ; But all this he puts in his pocket, for ic comes not 
into account at alU) Lajlly^the produU of into 7^ 5 or} into \ is 
^ >* which with the firft 200 makes 200 ~ : (But he forgets hims 
felf/or hislefler fegment was not 4> but he fliould there^ 
fore have faid ^ into or | m/of^is ^») His calculation there- 
fore fliould have been this : The greater fegment is (not 147^, 
but^ 14 ; which multiplied into it felf makes (not 200,but 196; 
The R "(Sangleof the greater fegment i45into the leffer ~ , is 
4 : And this taken a fecond time,is another 4 : The leflTer feg* 
naent Cnot 4 5 but) --^ or *, multiplied into it felf, is 
(not 
