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# Title: Ioachimi Iungii Philos. ac Medic. D. & Gymnasii Hamburgensis Rectoris Geometria Empirica (shelfmarks Leibn. Marg. 9a; ZEN Leibn. Marg. 9a)
# Folio 26, page id 73061350X:0034
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26.
3. Oura quaelibet rectilinea figura in rectanculum, imd etiam in
quadracum per sequens probl. 37. ejusque corollarium, transmutari potest;
commocta cujusis rectilinei mentura, (eaqe 2 el accurata vel proxima)
erit quadratuni communis mensura (accuratae vel proximae) laterum
ejusdem rectilinei.
28. Siquadrora e commenturalibus carherorum trian
gulirectanguli, numerum quadracum componanc; liypo-
cenua cachecis erie commenturabilis: Sin minus; incom-
erenturabilis..
29 Si quadrara e commenluralibus hyporenn(x e ca-
checis quadrato numero difteranserunedicta larera relique
cathero commenurabilis: Sin minus incommensurabiliq.
30. Si cresrecta commensurabiles a ttumaneur, ita ur qua-
dracum ecom menluralimaximae; aquerur quadraris com-
menturalium reliquarum; Priangulum ex altumcislaceri-
bus constructum, erit rectangutum.
37. Diagonius quadraci duplum porestlaceris; ideogila
cerincommenturabilis elt.
32. Alcicudo crianguli ordinaci rriplum pocest lemilare
rissideogi lareri elt incommenlurabilis.
35. Segmenta rectx cerminicae secundum problema 2g
Eacta, cum incer se, cum cotiincommenturabilia unc.
L e L d L t E.
34. Dacorectilineo hypertrisono)equale rectilineur
Daucioribuslaceribus comprehentum, construere.
Sicdarum rectilineum ABOB, rel ABCDE, vel.ABCDCF,
vel pluribus adhuc circum Ceriprum laceribus, ex eoq; rese-
cecureriangulum ABCiper cujus apicem B, diasonio ACa
oppolitum ducarur ip (i. AC parallel2BX, quae unum exdari
reccilinci laceribus, relecto criansulo prorimé adjacencib;
nimirum DC, percerminum diagonu C. velD. ubi opus, ests
productum, (eceF in ZL DUCREUE AZ, ericqs (triangulum ACL
trianculo ACB super communibase AC aquealtum, es proinde aequa
leres daro rectilineo constructum x qualc rectilineumsuno
dice