[Hand of J. O'Donovan:]

## THE CLOIGTHEACH, I.E. THE ROUND TOWER

To measure its base; to measure it with the base of the Damliag to proportion it; and the excess which is in the length and breadth of the Damliag {from that out,} over the measurement of the Cloigtheach is the rule to determine the height of the Cloigtheach; and should there be excess in it, i.e., in the height of the Cloigtheach when compared with the Damliag, the price is raised equal to that proportion, and must be paid for the Cloigtheach accordingly.

The measurement of the base of the Cloigtheach is to be proportioned to that of the base of the Damliag; and the excess of the length and breadth of the Damhliag, over the measurement of the Cloigtheach is the rule to determine the height of the Cloigtheach; and if it should happen that the height of the Cloigtheach should exceed these proportions of the Damliag, the price is to be raised accordingly and paid for the Cloigtheach.

[In pencil:]

 60 90 24 2


The measurement of the base of the Calhedral (Damliag) is 60 + 60 = 120 + 21 = 141 + 21 = 162 feet. [In pencil:]
 60 21 81

Need these in high res too. O'Donovan's rough sketch of the proportional relationships of cathedral and round tower.

 Cathedral 90 feet long 24 broad 114 17 97 height of tower
 100 feet 24 124 17 107
 120 24 144 17 127
 90 2 180 48 228 50 178

Given the height of tower and its diameter at the base to find the dimensions of its Damliag: Rule. Add the diameter and height together, and the sum will be the length and breadth of Damliag; from this sum take 24, the usual breadth of Irish Damliags, and the remainder will be the length.

Given the length and breadth of the Damhliag to find and the diameter of the base of tower to



find the height of tower: Rule. Add the length and breadth, and from the sum subtract the diameter, the remainder will be the height.

## QUERIES, DOUBTS &C.

Should not the measurement of the whole base of the Damliag be given? that is, suppose it is 80 (feet) long and 24 broad, should not the two side walls and two gables be measured thus

 80 24 2 2 100 48 200 measurement of base of Damliag

From this then should not the circumference of tower be subtracted? thus

 200 50 150 excess of measurements of Damliagh over that of tower. 200 measurement of base of Damliag

Should not the calculation be made rather mathematically, i.e. to compare the superficial contents of base of tower with superficial contents of base of Damliag.