FREE BOOKS

Author's List




PREV.   NEXT  
|<   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63  
64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   >>   >|  
lykeiamme, and also to the right lined figure appointed, as the conclusion willed. _Example._ [Illustration] K, is the right lined figure appointed, and B.C.D.E, is the likeiamme, with right angles equall vnto K, but because that this likeiamme is not a square quadrate, I must turne it into such one after this sort, I shall make one right line, as long as .ij. vnequall sides of the likeiamme, that line here is F.G, whiche is equall to B.C, and C.E. Then part I that line in the middle in the pricke M, and on that pricke I make halfe a circle, accordyng to the length of the diameter F.G. Afterward I cut awaie a peece from F.G, equall to C.E, markyng that point with H. And on that pricke I erecte a perpendicular H.K, whiche is the iust side to the square quadrate that I seke for, therfore accordyng to the doctrine of the .x. conclusion, of the lyne I doe make a square quadrate, and so haue I attained the practise of this conclusion. THE .XX. CONCLVSION. When any .ij. square quadrates are set forth, how you maie make one equall to them bothe. First drawe a right line equall to the side of one of the quadrates: and on the ende of it make a perpendicular, equall in length to the side of the other quadrate, then drawe a byas line betwene those .ij. other lines, makyng thereof a right angeled triangle. And that byas lyne wyll make a square quadrate, equall to the other .ij. quadrates appointed. [Illustration] _Example._ A.B. and C.D, are the two square quadrates appointed, vnto which I must make one equall square quadrate. First therfore I dooe make a righte line E.F, equall to one of the sides of the square quadrate A.B. And on the one end of it I make a plumbe line E.G, equall to the side of the other quadrate D.C. Then drawe I a byas line G.F, which beyng made the side of a quadrate (accordyng to the tenth conclusion) will accomplishe the worke of this practise: for the quadrate H. is muche iust as the other two. I meane A.B. and D.C. THE .XXI. CONCLVSION. When any two quadrates be set forth, howe to make a squire about the one quadrate, whiche shall be equall to the other quadrate. Determine with your selfe about whiche quadrate you wil make the squire, and drawe one side of that quadrate forth in lengte, accordyng to the measure of the side of the other quadrate, whiche line you maie call the grounde line, and then haue you a right angle made on this line by an other side
PREV.   NEXT  
|<   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63  
64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   >>   >|  



Top keywords:

quadrate

 

equall

 

square

 

whiche

 

quadrates

 

conclusion

 

appointed

 

accordyng


pricke

 
likeiamme
 
practise
 

CONCLVSION

 

perpendicular

 
therfore
 

Illustration

 

squire


Example
 

figure

 
length
 

righte

 
plumbe
 

lykeiamme

 

angeled

 

thereof


makyng

 

triangle

 

Determine

 

grounde

 

lengte

 

accomplishe

 

measure

 

vnequall


doctrine

 
diameter
 

angles

 

attained

 

circle

 
Afterward
 

markyng

 
erecte

willed
 
betwene
 

middle