Another method.

You may make the round limb of the same D in another fashion; namely, as a pen naturally would, broader above than below. For this, draw the diagonal c. b. and describe your exterior arc as before; but to describe the interior, in the line c. b. take a point m. lower down than i. and distant from it the width of the broader limb, and without altering your compass describe an interior line; but where the limb must needs be narrower, there you are to accommodate it with your hand, both below and above, as in the following cut.

[THE LETTER E.]

The letter E you shall form in its square thus: Draw a transverse line e. f. bisecting a. b. and c. d. in e. and f.; then draw the great vertical limb of the letter, to the left, as you did for [D]. Next draw also an upper transverse limb of narrower dimensions, parallel to a. b. and in length six-tenths minus one-third of one-tenth of the length of a. b.; and the end of this bend downwards one-tenth of the length of a. b. and use this as the diameter of the circle with which you round out the inner angle of this extremity: then draw your narrow middle limb parallel to the median line e. f. and above it, so that it may be shorter than the upper limb by one-tenth of the length of a. b., but at its terminus double as wide; & you are to round it out (in either direction) by the arc of a circle whose diameter is one-sixth the length of e. f. Now construct your lowest limb upon the line c. d., so that at its ultimate angle it may exceed in length the upper limb by one-tenth of c. d.; the cusp, however, you are to prolong beyond this part by two-thirds of one-tenth part, and erect above it to one-sixth of the length of c. d., and round out the same by a circle whose semi-diameter is also a sixth of c. d. In like manner the final angle of the letter you shall round out by an arc of the same circle by which you rounded out the middle transverse limb: the other angles you are to leave acute, as in the following cut.

[THE LETTER F.]

The letter F you are to form in the same manner as [E]; except that you shall omit the lower limb altogether, and, in its place, round out the letter on both sides below, as you did E on one side only, as I have shown you below.

[THE LETTER G.]

Likewise the letter G you are to make as you did [C], before described; this, however, excepted: that in front (that is, to the left) of the line g. h. is to be erected the broad limb of the letter, upwards from the curve to the line e. f., and above it is to be rounded to a point, on either side, as before was said; but below, both angles are to remain.

Or, you shall form G in the following fashion in the said square, divided as before: Draw the diagonal c. b. and set your compass with one leg on the point i. and with the other describe an arc from e. to the middle point c. d. and mark this point l.; in like manner also, describe an arc upwards to the line a. b. so as to meet the perpendicular line g. h. & mark that point z. Then, in the line g. h., take a point m. so that the part m. h. shall be one-tenth of the line g. h.; then, with a sweep of your hand join l. & m. with the curved line l. m. Next, you are to draw from z. a line upwards, as broad as the standard of the letter, but oblique and in direction midway between your circular line & the perpendicular g. h. and from the extremity of this line you must draw a curved line to meet a. b. at the point where your circular line touches it. Next, cut off from the bottom of g. h. a part one-third of its length, & indicate this by the point n., & to this height, from the level of m. upwards, produce the broad limb of the letter, and let its extremities above be finished in either direction, of the same size. After this set the leg of your compass on the diagonal c. b. the breadth of the standard of the letter above i. & at the distance e. i. describe an arc, which above shall touch the exterior boundary a. b. but below shall stop short above l.; & from this point you must with your hand draw a line to the vertical limb at the height of m.

And the same you shall do above in drawing the narrower limb of the letter, as seen in the following diagram.

[THE LETTER H.]

The letter H is to be formed of two broad, great, & vertical limbs of the height of the square, in such fashion that their extremities, being produced exteriorly, shall touch the four angles of the square, a. c. and b. d. respectively. Now in what fashion the projections of the broader limbs of letters are to be rounded out at top and bottom and on either side, you have been instructed; for in any letter you please, any broad and vertical limb is to be depicted at top and bottom thrice as broad as at its middle: provided always it is not joined to a narrower limb. So when this has been accomplished, then draw your narrower transverse limb upon the line e. f. as is shown below.

[THE LETTER I.]

The letter I you are to make of a single broad vertical tract in the midst of its square, touching the latter top and bottom; and of this, at both ends, 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.