and on either side, you are to round out the productions or projections as below is shown.

THE LETTER K.

Now for K: You are to make the first tract vertical, in the same manner as you formerly did for H; then draw another narrower limb from the broader and erect one, so that it may, at its lower end, impinge obliquely on the transverse line e. f. and above may ascend to the right till it meet the line a. b., taking care to make it parallel to the diagonal c. b.; and this, at the top, you are to produce in both directions so that each production may represent a tenth part of the line a. b. The hitherward projection you are to round out with a circle of which the diameter must not exceed the breadth of the lesser limb; but of the other arc, by means of which you round out the farther projection, you shall make the diameter double as great as the diameter of the arcs by which you have customarily hollowed out the preceding extensions of the broad and vertical limbs. Next, from the narrow limb so constructed draw in a downward direction another broad limb, so that it too may be parallel to a diagonal of the square; & of this the beginning is to be taken from the acute angle which the narrower limb makes with the broad vertical limb, and let it be drawn with its projection to the angle d., yet in this fashion: take two points this side of d. after this manner, so that the first point may be distant from d. the tenth part of the line c. d. & the second as far again from the first; then let the said tract be drawn within the space which is between the two points, but in blind and invisible lines. Afterwards you shall add the extension, which you shall make this way: take before f. in the line e. f., a point g. no farther distant from f. than the breadth of the narrower limb; on this point set one leg of your compass, & let the other be extended to the angle d., from which let it be guided back along the broad but invisible blind limb: thence will result the lower convexity of the tail you seek; but its upper concavity look for in this way: divide f. d. in its middle point h.; on this set one leg of your compass, and with the other describe an arc passing through d. to meet the broad limb.

Or you may make K in this manner: First, let your broader vertical limb, and your upper narrow one remain as they have been described, except that the interior angle which the narrower limb forms with a. b. shall remain acute, but the exterior one shall be rounded out, as has been said. Then let there be drawn the lower broad limb, obliquely from the angle which is included between e. f. and the vertical limb, and let it descend to meet the side c. d. so that between d. and the limb the width of the limb be left vacant; and the hither angle is to be left, but the farther, towards d., shall be rounded out a little, as shown below.

THE LETTER L.

As for the letter L, you shall make it by a combination of parts of two of the preceding letters: namely, you shall make the first vertical broad limb, as you did a while back in I; and to this join a foot as you did at the bottom of E, when you made it. Such is L depicted below.

THE LETTER M.

The letter M you shall form in two ways within its square. In the first, draw the narrower limb of the letter vertical, to the right of a. c., distant from a. one-tenth of the distance a. b.: draw the other, & broader limb, on the near side of b. d., also a tenth part of the whole distant from b. & in such fashion that both limbs touch the square at top and bottom; then, between the two, bisect the line c. d. in the point e. and draw a broad limb from the inner angle of the narrow limb, downwards to the point e., & next a narrow one upwards from e. to the inner angle of the broader vertical limb; and the inner angles at top you must not round out, but leave acute; the exterior angles, however, at the top, and both exterior and interior at bottom of both vertical limbs, you are to adorn with the customary projections, as you have done in the preceding letters. You are to know, too, that when these letters are drawn with a pen, they are to be described with a single stroke. But for your guidance is this letter, in the manner in which I have instructed you, depicted below.

Another method.

Another way is thus: Divide the side a. b. of the square into six equal parts & mark off the two extreme parts, one at either end, by the points f. and g.; then draw the inner and broader limb, with its point at e. as above; and to this, in an upward direction, a narrower one, so that between f. g. be left a vacant space, and so more readily the letter slope forward. Then you are to draw the two lateral and vertical limbs—the near and slender, and the farther broad one—at the top, indeed, as in the first sketch, but at the bottom produce them to the two angles c. and d. and finally add projecting cusps, as you were instructed in the first M; but the projection below will pass beyond the square at the points c. and d. Or you shall make M at top with acute angles, in which case the lateral limbs will slope the more; or shear them off obtusely, and in this fashion (whichever pleases you best) make them as you see them depicted in the following diagrams.

THE LETTER N.

Likewise the letter N you shall make in its square thus: First you are to draw two standards vertical and slender, so that at top & bottom they may touch the square, & that being produced, the nigh one at the bottom, and the farther at the top, they may touch the angles at c. and b. Now join these two by a broad oblique limb, running from the angle a. to the point e., by which is denoted the remote side of the farther limb, where you shall allow the acute angle to remain; but at the top, this limb, produced beyond the angle a., you are to round out to a fifth part of the length of a. b. This prolongation should incurve below, a fifteenth part of the distance a. b. projected on two arcs, the upper one the greater, the lower the less. For the lesser arc, therefore, you shall take as diameter of its circle, a line the fifth part of the distance a. b. and its centre is to be taken outside the square, so that the foot of the compass may touch the tip of the extension and the angle a.; then extend a little the feet of the compass, and shift its centre until the arc touch both the tip of the part produced, & the broad oblique limb, in the middle