To the eighth, you object only the too great length and labour of it, because you can do it a shorter way. Perhaps so now, as being easy to shorten many of the demonstrations both of Euclid, and other the best geometricians that are or have been. And this is all you had to say to my nineteenth chapter. Before I proceed, I must put you in mind that these words of yours, “_adducis malleum, ut occidas muscam_,” are not good Latin, _malleum affers_, _malleum adhibes_, _malleo uteris_, are good. When you speak of bringing bodies animate, _ducere_ and _adducere_ are good, for there _to bring_, is _to guide or lead_. And of bodies inanimate, _adducere_ is good for _attrahere_, which is to draw to. But when you bring a hammer, will you say _adduco malleum_, _I lead a hammer_? A man may lead another man, and a ninny may be said to lead another ninny, but not a hammer. Nevertheless, I should not have thought fit to reprehend this fault upon this occasion in an Englishman, nor to take notice of it, but that I find you in some places nibbling, but causelessly, at my Latin. Concerning the twentieth chapter, before I answer to the objections against the propositions themselves, I must answer to the exception you first take to these words of mine, “_Quæ de dimensione circuli et angulorum pronuntiata sunt tanquam exactè inventa, accipiat lector tanquam dicta_ _problematicè._” To which you say thus: “_We are wont in geometry to call some propositions theorems, others problems, &c. of which a theorem is that wherein some assertion is propounded to be proved; a problem that wherein something is commanded to be done_.” Do you mean _to be done_, and not proved? By your favour, a problem in all ancient writers signifies no more but a proposition uttered, to the end to have it, by them to whom it is uttered, examined whether it be true or not true, faisable or not faisable; and differs not amongst geometricians from a theorem but in the manner of propounding. For this proposition, _to make an equilateral triangle_, so propounded they call a problem. But if propounded thus: _If upon the ends of a straight line given be described two circles, whose radius is the same straight line, and there be drawn from the intersection of the circles to their two centres, two straight lines, there will be made an equilateral triangle_, then they call it a theorem; and yet the proposition is the same. Therefore these words, _accipiat lector tanquam dicta problematicè_ signify plainly this, that I would have the reader, take for propounded to him to examine, whether from my construction the quadrature of the circle can be truly inferred or not; and this is not to bid him, as you interpret it, to square the circle. And if you believe that _problematicè_ signifies probably, you have been very negligent in observing the sense of the ancient Greek philosophers in the word problem. Therefore your _solemus in geometria_, &c. is nothing