Bicause you maye easily coniecture the makinge of these figures by that that is saide before of cinkangles, only consideringe that there is a difference in the numbre of sides, I thought beste to leue these vnto your owne deuice, that you should study in some thinges to exercise your witte withall and that you mighte haue the better occasion to perceaue what difference there is betwene eche twoo of those conclusions. For thoughe it seeme one thing to make a siseangle in a circle, and to make a circle about a siseangle, yet shall you perceaue, that is not one thinge, nother are those twoo conclusions wrought one way. Likewaise shall you thinke of those other two conclusions. To make a siseangle about a circle, and to make a circle in a siseangle, thoughe the figures be one in fashion, when they are made, yet are they not one in working, as you may well perceaue by the xxxvij. xxxviij. xxxix. and xl. conclusions, in whiche the same workes are taught, touching a circle and a cinkangle, yet this muche wyll I saye, for your helpe in working, that when you shall seeke the centre in a siseangle (whether it be to make a circle in it other about it) you shall drawe the two crosselines, from one angle to the other angle that lieth againste it, and not to the middle of any side, as you did in the cinkangle. THE XLVI. CONCLVSION. To make a figure of fifteene equall sides and angles in any circle appointed. This rule is generall, that how many sides the figure shall haue, that shall be drawen in any circle, into so many partes iustely muste the circles bee deuided. And therefore it is the more easier woorke commonly, to drawe a figure in a circle, then to make a circle in an other figure. Now therefore to end this conclusion, deuide the circle firste into fiue partes, and then eche of them into three partes againe: Or els first deuide it into three partes, and then ech of thẽ into fiue other partes, as you list, and canne most readilye. Then draw lines betwene euery two prickes that be nighest togither, and ther wil appear rightly drawẽ the figure, of fiftene sides, and angles equall. And so do with any other figure of what numbre of sides so euer it bee. +FINIS.+ THE SECOND BOOKE +OF THE PRINCIPLES+ _of Geometry, containing certaine_ _Theoremes, whiche may be cal-_ led Approued truthes. And be as it were the moste certaine groundes, wheron the practike cõclusions of Geometry ar founded. [Leaf]