FE. Stimpson on Farmer's Theorem. 375 
Taste [. Burner of the fifth series—slit Jy inch wide. 
Con 
tion of the| Consumption|Comparative ||Intensties by; Difference lintensiti am Differen 
Batw: ba of ss oe tasegenies. old formula | between = see law of between port 
under nd. The ngel as et ratio culated oan the squares oer and 
purn of consump-| observed of con rved 
Liters per} Liters per tion. results. sumption ule 
hour, hour. 
mes vv Uv / 
211 100 120 99°38 —0°62 82°31 17°69 
189 96 110 97°64 —2°36 86°3 13°62 
180 103 100 100°00 0:00 100°00 0-0 
156 104 90 104°85 +4°85 122 UF + 22°17 
142 104 80 102°39 +2°39 131°06 + 31:06 
124 101 70 99°6 —0°3 41- + 41°84 
102 101 60 103-82 +3°82 179°68 + 79°68 
88 102 50 99°3 —0-°70 197-19 + 97:19 
68 100 40 102°79 +2°79 | 264°20 + 164°20 
67 102 30 90°73 —9°27 293°40 + 193-40 
Tasre II, Burner of the same series—slit 5, inch wide. 
Monat ie e|Consumption)Comparative ||Intensities by} Difference | Intensities| Differenc 
Batwing of the Bengel| intensities. Fg: formula |between cal-||for law be between cal- 
under tri: Argand. The Bengel Ayan culated and ||thesquares; culated an 
burner “of consump- observed er Hl 
Liters per} Liters per tion. results. jults. 
hour. hour. 100. 
264. 106 200 100°4 + 04 50°33 — 49°7 
236 105 180 100°1 + O1 55-6 — 444 
208 105 1 100°9 + 09 63°5 — 365 
182 105 140 100°9 + 09 42°8 — 27:2 
152 104° 120 102°6 + 2°6 87° — 123 
130 104 100 00-0 0-0 100-0 00 
ii 104 80 92°8 — 72 107°8 + TS 
90 104 60 86°6 —13°4 125: + 251 
75 104 50 86°6 13-4 150-2 + 502 
66 104 40 78°8 —22°2 155°2 + 55:2 
, as 104 20 60°5. —39'°5 182°8 + 82°83 
28 104 10 46°4 63°6 || 215° +1155 
rom the first table it will be seen that the two burners 
proportion 
second line of this table 
mes 
and so on. 
Now applying Farmer's Theorem, 
: (180)? x (100)? 120 : 2” 
:(180)2 x( 96)? =110: 2”. 
(211)? x (108 
(189) x (103)2 
ys 
103: 100= 
211x108: 180 x 100=120x1:1x7; 
911x108 :180 100=120: 0. 
189x108:180x 96=110:1 
=120:1 
54 a 
the proportions become 
