ARITHMETIC.—ASTROLOGY.—ASTRONOMY. 941 
.97 ; Reveley’s objections anfwered, 98 ; 
a farther defcription, 119. 
Spires, 8y ; their origin among us, 90; 
and prel'ent appearance, ibid, 
Staircafes, icy ; general rules for them, 110. 
Statues and vafes, how to be placed, 97 ;* 
proper fue for flatues in niches, 107. 
Syftvle mode of placing columns, 73. 
Temples of different kinds, 72; by whom 
firft erefled doubtful, 73 ; their gradual 
A 
J^DDITTON, fimple, 166; compound, 
167; of vulgar-fvaftions, 184; of de¬ 
cimals, 186. 
Arbitration of exchange, fimple, 1S0 ; 
compound, 181. 
Archimedes’ fcale and notation, 163. 
Barter, 176. 
Binary arithmetic, 164. 
Brokerage, 173. 
Circulating or repeating decimals, 188 ; 
reduction of, ibid ; fubtradlion, multi¬ 
plication, and divifion, 189. 
Commiflion, 173. 
Cube-root, 190; of a vulgar-fradtion, 191. 
Decimals, 164, 185; addition, fubtraflion, 
and mu’tipiication, of, 186 ; divifion 
and redudlion, 187 j circulating, 188. 
D'ifcount, 175. 
Divifion, 169 ; compound, 170 ; of vul- 
gar-fra£lions, 183 ; of decimals, 187. 
Duodecimals, 164, 181. 
Equation of payments, 175. 
•Evolution, or extrafling of roots, 189-191 ; 
extracting the fquare-root, 190 ; the 
cube-root, ibid, the roots of all pow¬ 
ers, 19I1 
A 
A NTIQTJITY and divine origin, 32*. 
“■ Apology for the fcience, 316, &c. 
Afclatarius, a famous aflronomer, 322. 
Afpe&s, ancient, 309; modern, 310; their 
influence on human affairs, 315- 
Domitian’s fate, and his own, foretold by 
Afclatarius, 323, 
Empires, their rife and fall foretold, 313. 
Fixed ftars, how they aft'edt the weather, 
312 ; and mundane affairs, 319. 
Foreknowledge evident in brutes, 322. 
A 
ABERRATION of light, 420: in the 
different planets, 422; to calculate, 
440; in latitude or longitude, 441; in 
declination, 442 j in right afcenfion, 443. 
Albategnius, an Arabian aftronomtr, 423. 
Angle of pofition, to calculate, 433. 
Anomalifiic year, 372. 
Arabian aflronomer?, 423. 
Bailly, his coijedlures on the origin of 
aftrononiv, 327. 
Bayer’s Uranometria, 424. 
Bouillaud’s fyftem of circular motion, 338. 
Bradley’s tables of refrattion, 426, 
Gaille, de la, an eminent French aftrono- 
mer, 426. 
Calculation and meafurement of iaacceffible 
objefls, 430, &c. of the right afcenfion, 
&c. of heavenly bodies, 431 ; of paral¬ 
lax, 432; of refra&ion, 437; of the 
moon’s apogee, 438. 
Chara&ers ufed for the planets, and for the 
days of the week, 327. 
■Chintfe very early cultivated agronomy, 
Vol. II. No. 112. (701.) 
progrefs from fimplicity to magnificence, 
74 ; difference between the Greek and 
Roman temples, 74j Temple of Mi¬ 
nerva, 74. 
Termini, ornaments of a peculiar kind, 72. 
Torus, its probable origin, 64. 
Triglyph, 65; rules for drawing the tr.i- 
glyplis and.be’,Is, 104. 
Tufcan architeiflure, 67; Tufcan order, its 
proportions, 68 j its ufual deftination, 
l I T H M E T I 
Exchange, 177; with Ireland, America, 
and tiie Welt Indies, ibid, with Hol¬ 
land, Flanders, and Germany, ibid, with 
France, a id Spain, 178 ; with Portugal, 
Italy, Ruffia, Denmark, and Norway, 
1793 with Riga, Turkey, See. 1803 ar¬ 
bitration of exchange, ibid. 
Fellowlhip, fingle, 175; double, 176. 
Ilarmonical arithmetic, 164. 
Infinites, arithmetic of, 164. 
Ii.ftrumental arithmetic, 164. 
Infurance, 173. 
Intereli, fimple, 172; compound, 174. 
Involution, or railing of powers, 189! 
Logarithms, 164. 
Lots and Gain, 176. 
Multiplication, with the Tabic, 168 ; va¬ 
rious methods of performing multipli¬ 
cation, 168, 169 ; compound, 169 j of 
vulgar-fradlions, 185; of decimals, 186. 
Notation and Numeration, with the Ta¬ 
ble, 165. 
Notation, Arabic, Greek, and Roman, 163. 
Origin and invention of arithmetic, 163. 
Political arithmetic, 164. 
Practice, 171. 
S T R O L O G 
Free agency reconciled to aftrology, 317. 
Horofcope, how to project, 310, 315. 
Houfes of heaven explained, 310. 
Influence of the planets on human affairs, 
314 5 on the weather, 318. 
Judicial aftrology, its rife and progrefs, 309. 
Nativities, how to calculate, 313 j calcula¬ 
tion of fome extraordinary on-s, 323. 
Picus Mirar.dula, an extraordinary inftance 
cf the truth of this fcience, 323. 
Pifa, Abp. of, his deftiny foretold, 323. 
S T R O N O M 
327 : manner of dividing the zodiac, ibid. 
Clock, &c. to regulate by a fixed ftar, 455. 
Cometarium, 430. 
Comets, their periodic times calculated by 
fir Ifaac Newton, 342 ; various opinions 
of the ancients concerning them, 40a 5 
fir Ifaac Newton explains their Teal 
phenomena, 401 3 magnitudes and tails, 
4°2 3 Dr. Hamilton’s objection to New¬ 
ton’s hypothefis, 402, 4C3 ; their mo¬ 
tion, 403 ; returns, 403, 404 ; heat, 
4'-5 j to determine their orbits, 452. 
Conftellations, or afftmblages of ftars, 413 5 
new-formed conftellations, 414. 
Copernican fyftem, 333; examined, 3343 
objedlions againft it, 335 ; intended to 
reftore the old Pythagorean fyftem, 424. 
Defefts of the ancient fyftem, 329 5 endea¬ 
vours to account for the unequal velocity 
of the diffcient planets, 330. 
Definitions, 325. 
Des Cartes reconciles the rapid motion and 
natural inertnefs of the planets, 339 j his 
II G 
99 ; to projeiff or fet oft" the Tufcan or¬ 
der, 103. 
Volurc, ionic, to deferibe, 102. 
Wall, Chinefe, 66; walls of Babvlon. ibid, 
coriftruftion of walls in genera! 118. 
Winchefter c thedral, a remain of the Go- 
. thic ftyle of architefllire, 84. 
Windows, 90; pi.-rs between them, ibid, 
painted, 91 ; their r.umbc: and lize. 108; 
their 1 proportions and ornaments, ibid. 
c. 
Proof of the four fundamental rules, 170. 
Proportion, or r he Rule of Three, 170.3 
compound, or the Double Rule of Three, 
J 7 l. 
Redaction, 170; of vulgar-fraflions, 1823 
cf decimals, 187. 
Sexagefimal arithmetic, 164. 
Specious arithmetic, 1 '5. 
Square-root, to extraft, 1S9 ; fquare-root, 
application of the, ryo ; of a vulgar-frac¬ 
tion, 190. 
Stocks, purchafes in the, 173. 
Subtraction, fimple and compound, 1673 
of vulgar-fractions, 185; ofdecimals, 187. 
Tables of Money, Weights, and Meafures, 
366, 167 ; of Aliquot Parts, 171 ; of In- 
teieft, 173, 174, 175. 
Tabular arithmetic, 163. 
Tare and Tret, 172. 
Tetratic arithmetic, 165. 
Theoretical, practical, and other different 
kinds of, arithmetic, 164, 165. 
Univerfal arithmetic, or algebra, 164, 561. 
Vulgar-Fradtions, 182-185; Redudlion of, 
182; Addition of, 184; Subtraction, 
Multiplication, and Divifion, 185. 
Y. 
Planets, their influence on the weather, 311. 
Refemblance of children to father or mo¬ 
tile- accounted for on the principles of 
tliis fcience, 324. 
Scripture arguments in favour cf this fci¬ 
ence, 317. 
Signs of the zodiac, 310. 
Sun, the molt powerful planet, 313. 
Time and Chance, two grand agent? in the 
fortunes of men/ 31-6. 
Weather, how to Icretel, 311. 
Y. 
fyftem of vortices, 339, 340; remarks cn 
his fyftem, 341 ; opinion ot comets, 401. 
Dial, un ive rfal, 430. 
Earth, figure of, 361 ; voyages round, 362 3 
motion of, 363,36"; magnetil’m of, 365; 
magnitude, ibid, lubdivifions, .366 3 gra¬ 
vity or denfity, 367 ; diurnal motion," 
ibid, annual motion, 368 ; phenomena 
arifmg from its diurnal motion, 369 ; 
from its annual motion, 370. 
Eclipfes in general, 395-403 ; of the moon, 
395 ; fun, 396 ; limits and periods of 
folar and lunar eclipfes, 398 ; eclipfe 
ot the year 1748, 359 ; eclipfes firft ob- 
ferved and calculated by Thales the Mi- 
lefian, .422 ; of the moon, to calculate, 
443 ; of the fun, 447. 
Ecliptic, obliquity of, 374; to calculate, 
875 ? 453 - 
Egyptians by fome fuppofed the inventors 
of aftronomy, 327. 
Equinoxes, preceliion or retrograde motion 
of, 372 ; caufes of, 373. 
Eudoxus 
