117 
M E N S U R A T I O N. 
. C'+CH + H’ tLn 
parabolic or middle part; and---x——=: 
160B 2 + 28oBH-^-3ioH® ■ _ . , . , 
_ i -’-xLit For the two ends; and the 
2 SX4-5 
fumoffhefe two gives after proper reduitlon (39B 2 + 26BH 
L t 
4-25 H 2 ) x—, nearly, for the content in inches. And 
90 
the quantity— or Zlll being divided by 231 gives 
90 90 
Table of the Areas of the Segments of a Circle, whofe Diameter is Unity, and fuppofed to be divided into 
1000 equal Parts. 
Height, or 
Verfed Sine 
Area of 
Segment 
Verier! Sine. 
trea of 
Segment. 
6 
c 
c/5 
-o 
> 
Area of 
Segment 
Verfed Sine.! 
Area of 
Segment. 
Verfed Sine, 
Area of 
Segment. 
V 
.5 
c/5 
~o 
£ 
> 
Area of 
Segment. 
[ Verfed Sine.I 
Area o r 
Segment. 
Verfed Sine j 
Area of 
Segment. 
Verfed Sine 
| 
Area of 
Segment. 
*001 
•000042 
•057 
'017831 
•I i 3 
’048894 
•169 
■087785 
•225 
•132272 
•281 
•180918 
336 
•231689 
•391 
00 
VO 
LO 
V*- 
00 
C? 
•446 
•338804 
•002 
’OOOI I 9 
’ 05 S 
‘018296 
■114 
'049528 
•170 
•088535 
■226 
- i 3 j 108 
•282 
■181817 
337 
•232634 
•392 
•285544 
'447 
'33979 s 
•OO 3 
• 0002 X 9 
•059 
018766 
'115 
050165 
•171 
•089287 
*22 7 
'1 3394-5 
•283 
•182718 
338 
•233580 
+93 
•286521 
+48 
" 3+ 07 93S 
•OO 4 
•000337 
• 06 c 
*019239 
'I l 6 
050804 
•172 
•090041 
■228 
•134784 
■284 
•183619 
339 
•234526 
+94 
•287498 
'449 
•34> 7 87| 
•005 
•OOO 47 O 
•061 
'019716 
•117 
051046 
•173 
•090797 
*229 
1356:14 
•285 
•184521 
•340 
■235473 
'395 
• 2 S 8476 
•450 
• 342782 J 
•006 
• 000618 
'062 
'020196 
'i 18 
O 52 O 9 O 
•174 
'°9 I 554 
*230 
•136465 
•286 
•185425 
■341 
•236421 
•396 
■289453 
+ 51 
'343777| 
•OO 7 
•OOO 779 
•063 
020680 
•119 
052736 
•175 
•092313 
•231 
•137307 
•287 
•186329 
•342 
•237369 
'397 
*290432 
•452 
•344772 
-008 
•OOO 95 I 
•064 
'021168 
'120 
053380 
•176 
•093074 
*232 
•1381 50 
•288 
•187234 
•343 
•238318 
•398 
• 29 I 4 I I 
'453 
'345768, 
*009 
*ooi 135 
•065 
'021659 
*121 
054036 
■177 
•093836 
■233 
3«995 
•289 
■188140 
344 
•239268 
'399 
*292390 
'454 
•346764 
•OIO 
•001 329 
•066 
022154 
* X 22 
054689 
•178 
•094601 
•234 
•139841 
*290 
•189047 
345 
■240218 
'400 
•293396 
'455 
'347759 
*OII 
■001533 
•067 
'022652 
■123 
055345 
•179 
•095366 
•235 
‘140688 
*291 
' i8 9955 
•346 
•241169 
•401 
•294349 
■456 
+48755 
012 
•001746 
■068 
023154 
*124 
056003 
■180 
'096134 
•236 
'I4I537 
■292 
•190864 
•347 
*242121 
■402 
•295330 
'457 
'349752 
•013 
■001968 
• 06 c 
'023659 
•125 
056663 
'i 81 
•096903 
•237 
"i4 2 38 7 
•293 
•191775 
•348 
•243074 
•403 
•296311 
•458 
+ 50748 
•OI 4 
'002199 
• 07 C 
'024168 
•126 
057326 
■182 
•096674 
•238 
•i43 2 38 
' 2 94 
•192684 
'349 
•244026 
■404 
•297292 
'459 
'3 5*745 
■015 
'002438 
•071 
'024680 
•127 
057991 
•183 
•098447 
•239 
*144091 
• 2.95 
•193596 
•3 5C 
•244980 
■405 
•298273 
•460 
'352741 
•016 
•002685 
•072 
° 2 5 I 95 
'128 
058658 
• 184 
•099221 
*240 
•144944 
"296 
•194509 
'351 
• 24593 ; 
•406 
•299255 
•461 
■353789 
OI 7 
'002940 
•073 
'025714 
'129 
059327 
•185 
•099997 
•241 
'*45799 
•297 
•195422 
'352 
•246889 
•407 
•300238 
■462 
'3 547 36| 
'018 
003202 
•074 
'026236 
'I 30 
059999 
•186 
•100774 
"242 
•146655 
•298 
•196337 
'353 
•247845 
•408 
•30 1220 
•463 
'355732| 
•OX 9 
■003471 
*075 
'026761 
•131 
'060672 
•187 
' 101 5 5 3 
•243 
• 14751 2 
•299 
•197252 
'354 
•248801 
■409 
•302203 
•464 
'3 5673°| 
'020 
•003748 
•076 
"027289 
'I 32 
'061348 
■188 
•102334 
•244 
'148371 
'300 
•198168 
'355 
•249757 
•410 
■303187 
•465 
■357727 
'021 
* 00403 X 
•077 
"027821 
133 
"062026 
'189 
•103116 
•245 
*149230 
■301 
•19908 5 
'35 6 
•250715 
411 
•304171 
'4 66 
+ 58725 
*02 2 
• 004322 . 
•078 
"028356 
• 134 ) 
‘062707 
’190 
■103900 
•246 
•150091 
•302 
•200003 
'357 
•251673 
•412 
'3°5 1 55 
•467 
•359723 
•023 
•004618 
07 c 
"028894 
135 
•063389 
•i 9 i 
•104685 
•247 
'*5°953 
'3°3 
*200922 
•358 
•252631 
+13 
■306140 
•468 
•360721 
*024 
•004921 
• 08 c 
•029435 
■ 13 & 
•064074 
■192 
•105472 
•248 
"151816 
•304 
•201841 
'359 
■253590 
•414 
•307125 
■469 
•361719 
■025 
•OO 523 O 
■081 
'029979 
•137 
'064760 
•193 
•106261 
•249 
- i 52680 
+05 
•202761 
'360 
•254550 
+ '5 
•308 no 
470 
•362717 
•026 
•005546 
•082 
'030526 
•138 
•065449 
•194 
*X 0705 I 
*250 
'153546 
•306 
•207867 
•361 
■255510 
•416 
•309095 
'471 
•363715 
’02 7 
•005867 
•083 
•031076 
•139 
■066149 
495 
•107842 
•251 
•154412 
•307 
•204605 
•362 
•256471 
■417 
•310081 
■472 
+64713 
•028 
•006194 
•084 
"031629 
•140 
*0668 3 3 
•196 
•108636 
•252 
•155280 
■308 
•205527 
•363 
■257433 
• 418 
311068 
•473 
•365712 
■029 
•006527 
•085 
'032186 
■141 
•067528 
497 
•109430 
' 2 53 
•156149 
•309 
•206451 
•364 
•258395 
•419 
•312054 
'474 
•366710 
■030 
■00686 5 
•086 
•032745 
•142 
'068225 
• 198 
'110226 
•254 
■157019 
•310 
■207376 
•365 
■259357 
•420 
• 31304 . 
'475 
■367709 
■031 
•007209 
•087 
•033307 
'143 
•068924 
•199 
*1 I X 024 
' 2 55 
•157890 
•311 
■208301 
*366 
•260320 
42 I 
•314029 
•476 
• 368708 I 
'032 
•007558 
•088 
•033872 
•144 
•069625 
‘200 
'111823 
•256 
•158762 
111 
•209227 
•367 
■261284 
•422 
•315016 
'477 
• 369707 I 
,• 033-007913 
• 08 c 
•034441 
■ J 45 
• 07032 S 
’201 
■i 12624 
’ 2 57 
•159636 
•313 
*2101 54 
■368 
■262248 
j +23 
•316004 
•478 
•3707061 
■034 
•008273 
•O 9 C 
'O 35 OI 1 
•146 
•070033 
*202 
-113426 
•258 
• 16051 c 
+ 14 
•211082 
•369 
■263213 
1-424 
•316992 
479 
• 371705 ] 
•035 '008638 
r°9 1 
'035585 
■147 
•071741 
*203 
*1 I 423 O 
' 2 59 
•161386 
+ 15 
*212011 
■37c 
■264178 
+25 
■317981 
•480 
•372704^ 
■036 
'009008 
•092 
'036162 
148 
•072450 
•204 
'i 1 5° 3 5 
'260 
'16226 3 
•316 
* 21294.0 
•371 
•265144 
•426 
•318970 
■48 1 
•373703! 
•037 
•009383 
°93 
'036741 
•149 
•073161 
'205 
•115842 
•261 
•163140 
'317 
•213871 
■372 
■266111 
•427 
'3*9959 
■482 
•374702] 
038 
•009763 
•094 
'°373 1 3 
•150 
•073874 
'206 
•i 16650 
•262 
'164019 
•318 
•214802 
'373 
267078 
•428 
■320948 
483 
• 375702 s 
039 
•010148 
1*195 
•037909 
1 5 J 
•074589 
•207 
•117460 
•263 
•164899 
+ 19 
•215733 
'374 
268048 
•429 
•321938 
+84 
•376702 
O 4 O 
•010537 
■09 6 
'038496 
'i5 2 
•07 5306 
•208 
'i 18271 
•264 
• 16578 c 
■ 32 c 
-216666 
'375 
269013 
•430 
■322928 
+85 
•377701 
O 4 I 
•010931 
•097 
•039087 
153 
•076026 
2 O 9 
•119083 
•265 
"166663 
•321 
•217599 
•376 
269982 
'431 
'3239*8 
+86 
•378701 
'042 
■011 3 30 
•098 
‘039680 
1 54 
•076740 
'210 
■119897 
•266 
•167546 
*322 
■218533 
'377 
■270951 
■432 
•324909 
■487 
• 379700 ; 
•043 
■011734 
• 09 c 
'040276 
'155 
•077469 
'21 I 
*120712 
-267 
• 16843 c 
+23 
•219468 
•378 
271920 
'433 
•325900 
■488 
■380700 
■044 
■oi 2142 
•ioc 
•040875 
156 
■078194 
* 2 X 2 
•121 529 
•268 
•169315 
•324 
*220404 
'379 
272890 
'434 
•326892 
•489 
•381699 
•045 
•0!2554 
•101 
•041476 
1 57 
•078921 
'21 3 
•122347 
•269 
*170902 
'3 2 5 
•221340 
■ 38 c 
273816 
'43 5 
•327882 
■490 
•382699 
•046 
•012971 
•I 02 
'042080 
158 
•079649 
•214 
’123167 
•270 
'171089 
'326 
•222277 
•381 
274832 
+35 
+28874 
•491 
' 383699 ! 
•047 
•013392 
*103 
•042687 
'*59 
•080380 
•215 
•123988 
•271 
•171978 
•327 
•22321 q 
■382 
275803 
j'437 
* 3 29866 
•492 
' 384699 , 
•048 
•013818 
• 104 
•043296 
160 
*0 01112 
'216 
•124810 
•272 
'172867 
•328 
•224154 
•383 
•276775 
+38 
■330858 
'493 
3 8 5 6 99 
'°49 
•OI 4247 
•105 
•043908 
161 
•081846 
•217 
•125634 
‘ 2 7 3 
•173758 
'3 2 9 
•225093 
•384 
•277748 
'439 
" 3 3 18 5° 
'494 
■386699 
|'°5° 
'014681 
• 106 
•044522 
■162 
•082582 
•218 
'* 26459 
•274 
•174649 
•330 
•226033 
■385 
■278721 
’44° 
■332843 
'495 
•387699 
j,'°5i 
*015119 
•107 
'045139 
163 
•083320 
•219 
•127285 
■275 
-I 7 5 54 2 
'331 
•226974 
•386 
■279694 
•441 
•333836 
■496 
•388699 
fo 5 2 
015561 
•108 
■045789 
■ 164 
•084059 
”220 
•128113 
'276 
•176435 
•332 
•227915 
•387 
■280668 
•442 
•334829 
'497 
• 389699 ’ 
r°5 3 
016007 
*109 
•046381 
•165 
•084801 
*221 
•128942 
•277 
• 17733 c 
"333 
•228858 
•388 
281642 
'443 
•335822 
'49 s 
• 390699 ’ 
•054 
•016457 
■no 
•047005 
■ 166 
•085544 
‘222 
•129773 
•278 
•178225 
'334 
•229801 
+ 85 
•i '82617 
'444 
•3368 16 
'499 
•391699 
■°55 
016911 
•in 
•047632 
•167 
•086289 
•223 
•130605 
•279 
•I 70 I 22 
'335 
•230745 
•390 
•283592 
'445 
•337810 
Li°° 
. 392699 ] 
•0 56 
•017369 
hi 12 
' 0482,62 
>1 68 
•087036 
•224 
-131438 
•280 
180019 
1 
Vol.XV. No. 1028. II h Table 
the multiplier for wine-gallons j and, fince 231 is 
9 
to 282 as 9 to 11 nearly, -- will be the multiplier for 
II 
ale-gallons, as in the rule. 
Ex. Suppofe the bung-diam.= 32 in. head-diam. =2 24, 
length = 4.0 ; required the content. 
Here (39 2 X32 2 -{-26X32X^4 +15 X 24 s )X 4° X '00034= 
1 010-5; which being divided by 9 and by 11, we obtain 112-3 
wine-gallons, or 91-9 ale-gallons, for the content required. 
