The svrveyor in foure bookes / By Aaron Rathborne.

  • Aaron Rathborne
Date:
1616
Catalogue details

Licence: Public Domain Mark

Credit: The svrveyor in foure bookes / By Aaron Rathborne. Source: Wellcome Collection.

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    $$$ ay on one and the fame fide of the falling line, namely, toE.G.C. And laftly, get that the inward angles on one and the fame fide, asthe angles E.G,C. and cH | A.H.F. are equall to two right angles. Pr o 5.50, fhe | THEOREME III: |g | If aright line be dinided into two equall parts, balfe the fquare of that = [i | ‘whole line 1s double to the whole {qnare of halfe the fame line, ff { Dw) Ls | Me 4D 7 A4e ia ‘& : pas L Vppofe A.B.to bea right line,and A wis B | yee atk oy letthe fame be diuided into two e- ‘ ANF | ae quall parts in the point C. Then a | ht Pp lA Oc 4 fay , that halfe the {quare of that | | aay} “paphole line, namely, the Parallelogram lH # | a pep ae: A.B. D. E. (for the whole fquare is A. Be Pe ‘Ape-F- G.) is double to the whole {quare | | ee BH aay “of halfe the fame line, namely, to the | aoe mAb -¢Aauare A.C. D. H. as is manifelt by : i] fa24AHeCE: © the Diagram. F I G Turoreme III. A right line being dinided by chance, the fquare of the whole line is equall to both the {quares made of the parts, and alfo to two rettan= gle figures, comprehended ynder the fame parts. i Ewcr.4. f Ettheright line A.B. be diuided Pe Bee by chance in the point G. Then I | ae aod) fay, that the {quare of the whole Hl. p>e_.,, line, namely,A.B.D.E. is equall to both 7 5 gee the fquares made of the parts, namely, [nn pox 4. 90» 004tothe {quares A.C.G.H, and H.K.F.E. hon {Zee food -4-2-ay (for H.K. is equall to C.B.) and alfo | 2. , of. 22 fnsest0 the two rectangle figures, compre- N}5.° 45,205 hended vnder the fame parts, namely, Vl +)... 4 &~ tothe rectangle figures C.B. H.K. and Sse | | ee ey a GOH. DAE. ate on me aa+ne | ae eee t THEOREME VV, davaae+ ee = Zits | The Supplements of thofe Parallelograms which are about the diameter, ~~) in enery Parallelogram, are alwaies equal the one to the other. | Cémplement. i Tht ecualie Vppofe the figure A.B.D.E.inthe former Tu roremet,beaPa- || & Lt Euc.1.43- rallelogram, whereof the diameter is A.E. and let the Parallelograms . || ii i Conl.281. about the fame diameter ( according to the declaration of the 30. D E- FINEITION)
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