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.

    48/252 page 34
    — pl 34. Lhe Surueyor. Parti2s Bi ' TRCN eS EMAL SES SLE So | {quare of the perpendicular A. E.) in pro- 1 portion Sefquitertia, or as 4. to 3. Forof Wp what parts the line B.C. or B. A. contai- Teal te sd im neth in power 8. of {uch parts B.E. (which \ isthe halfe of B.C.) containeth in power 2. Wherefore the perpendicular A.E. be- ing the refidue, containeth in power of fuch parts 6. (for the {quares of the lines A. E.and B. E. are by the 6. Turoreme equall vnto the fquare of the line A. B. whereunto B.C. is equall.) Now 8.to 6. is Sefquitertia : wherefore the power of the line B.C. is to the power of the line 9 Guns A.E. in Sefquitertia proportion. So is the {quare A.D.E.F. 4. of the fquare B. C. G.H. Pros. 36. ‘LHEOREME 1X XX, The Diagonal line, or Diameter of any Sqnare, is double in power to ‘.. the fide of the fame S. quare, | ~ Et A. B. C. D. be a Square, whofe Diago- nall line, or Diameter, is the line A.D. Now I fay, that the fame line A. D. is double in power to the fide of the fame Square, that is, the Square A. D. E. F. is double to the Square A. B, C.D. Pros. 99.102.106. ° ° *S . * +, > ” ’ . .° * tr] aT ee ENE bE REP IT nF RR RAPISTS OG YEN PO e ie ETT pty) es neo TO a ME cass ery» Fo pean SPiN AS SOTO TE es HP _— nina aeeaenianetic Siecanemoaatind , . © ai a mn ~ i aaa ary THEOREME XXXI, ASquare, whofe fide is equall to the Diameter of any other Square, i double in content or fuperficiall quantitie to that other Square. He explication hereof, is manifeft by that of the laft: For let A.D. l E,F. in the laft Diagram bea Square, whole fide A.D. is equall to the Diameter of another Square, as the fame line A.D.is the Diameter of another Square, namely,A.B.C.D. Wherefore I fay, that the Square A.D, E. F, is double in content, or fuperficiall quantitie, to that other Square. PR OB. 102/106. Smee ey T wx 0-
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