| Height. | Radius. | Height. | Radius. | Height. | Radius. | Height. | Radius. |
|---|---|---|---|---|---|---|---|
| 0 | 21·000 | 31 | 14·800 | 62 | 11·426 | 93 | 9·305 |
| 1 | 20·720 | 32 | 14·660 | 63 | 11·343 | 94 | 9·250 |
| 2 | 20·447 | 33 | 14·523 | 64 | 11·261 | 95 | 9·195 |
| 3 | 20·182 | 34 | 14·389 | 65 | 11·180 | 96 | 9·141 |
| 4 | 19·923 | 35 | 14·257 | 66 | 11·100 | 97 | 9·088 |
| 5 | 19·671 | 36 | 14·127 | 67 | 11·021 | 98 | 9·035 |
| 6 | 19·425 | 37 | 14·000 | 68 | 10·944 | 99 | 8·983 |
| 7 | 19·185 | 38 | 13·875 | 69 | 10·867 | 100 | 8·931 |
| 8 | 18·951 | 39 | 13·752 | 70 | 10·792 | 101 | 8·880 |
| 9 | 18·723 | 40 | 13·632 | 71 | 10·717 | 102 | 8·830 |
| 10 | 18·500 | 41 | 13·513 | 72 | 10·644 | 103 | 8·780 |
| 11 | 18·282 | 42 | 13·397 | 73 | 10·571 | 104 | 8·730 |
| 12 | 18·070 | 43 | 13·282 | 74 | 10·500 | 105 | 8·681 |
| 13 | 17·862 | 44 | 13·170 | 75 | 10·430 | 106 | 8·633 |
| 14 | 17·659 | 45 | 13·059 | 76 | 10·360 | 107 | 8·586 |
| 15 | 17·461 | 46 | 12·950 | 77 | 10·291 | 108 | 8·539 |
| 16 | 17·267 | 47 | 12·843 | 78 | 10·224 | 109 | 8·492 |
| 17 | 17·077 | 48 | 12·738 | 79 | 10·157 | 110 | 8·446 |
| 18 | 16·891 | 49 | 12·634 | 80 | 10·091 | 111 | 8·400 |
| 19 | 16·710 | 50 | 12·532 | 81 | 10·026 | 112 | 8·355 |
| 20 | 16·532 | 51 | 12·432 | 82 | 9·962 | 113 | 8·310 |
| 21 | 16·358 | 52 | 12·333 | 83 | 9·898 | 114 | 8·266 |
| 22 | 16·188 | 53 | 12·236 | 84 | 9·835 | 115 | 8·222 |
| 23 | 16·021 | 54 | 12·141 | 85 | 9·774 | 116 | 8·179 |
| 24 | 15·857 | 55 | 12·046 | 86 | 9·712 | 117 | 8·136 |
| 25 | 15·697 | 56 | 11·954 | 87 | 9·652 | 118 | 8·094 |
| 26 | 15·540 | 57 | 11·862 | 88 | 9·593 | 119 | 8·052 |
| 27 | 15·386 | 58 | 11·773 | 89 | 9·534 | 120 | 8·010 |
| 28 | 15·235 | 59 | 11·684 | 90 | 9·476 | 120·25 | 8·000 |
| 29 | 15·087 | 60 | 11·597 | 91 | 9·418 | ... | ... |
| 30 | 14·942 | 61 | 11·511 | 92 | 9·361 | ... | ... |
APPENDIX, No. II.
NOTES ON THE MANUFACTURE OF PARABOLOÏDAL REFLECTORS,
from Information furnished by Mr James Murdoch, of the Northern Lights Service.
Fig. 99.
The reflector-plate consists of virgin-silver and the purest copper (from the ingot), in the proportion of 6 oz. of silver to 16 oz. of copper. The two metals are in pieces, forming a flat parallelopepid of about nine inches of surface. Being first thoroughly scraped and cleared from rust with a file, they are tied together with wire and placed in the furnace, where they are united by means of a flux composed of burnt borax and nitre, mixed to the consistence of cream. Their thickness is sufficient to admit of their being repeatedly passed through the rolling-mill, so as at last to come out a plate twenty-eight inches square. Every time it is passed through the rollers, the plate is annealed in the furnace before being again pressed. It is then cut into a circular disc ready for working; and great care should be taken to keep the metal perfectly clean during the whole of the hammering and polishing processes. The first step towards forming the plate to the curve, is to raise the back or copper side to a slight convexity by beating, with the boxwood mallet ([fig. 99]), rounded at each end, c and d, its inner or silver side upon a large block of beechwood, of a form slightly concave. This beating is begun at the edge of the plate, and gradually reaches the centre. After the disc has been raised to the proper height on the wooden block, the next step is to take it to the horse ([fig. 103], opposite page), where it is beaten with the wooden mallet ([fig. 100]), its concave face being in contact with the bright steel-head a ([fig. 103]), until it has nearly reached the proper height for the reflector, for which the workman has a gauge or mould to guide him; in this course of raising, as it is called, the peened face b a b ([fig. 100]) is first used, and then recourse is had to the opposite or flat face for smoothing it after being raised. In this last course of raising, as well as in the process of smoothing the reflector all over, the workman bestrides the horse.
Fig. 100.
Fig. 101.
During the process of raising with the peened side of the mallet, an external mould FGHF ([fig. 101]), with a needle-point P, at its vertex, is applied, to indicate its proper position with reference to the mould; and allowance is made on the height and diameter of the reflector to meet the expansion of the metal during the hard-hammering which is to follow. After each course of the raising with the wooden mallets, the reflector must be annealed in the following manner:—The reflector is first damped with clean water, and its surface dusted over with a powder, composed of one pint of powdered charcoal to one ounce of saltpetre, which is applied by means of a thin flannel bag. The reflector is then put on a clear charcoal fire, where it is turned round as the powder flies off, which is an indication that the metal is duly heated. Over-heating is very injurious. When removed from the fire, the reflector is plunged into a large tub, containing what is called the pickle, which is a solution of one quart of vitriol in five or six gallons of water. After this it is washed with clean water, and scoured with Calais sand.