Arithmetic, Table of contents
The Contents.
The Firſt Part of Vulgar Arithmetick.
NUmeration pag. 1
Addition pag. 7
Addition of Engliſh money pag. 10
Addition of Troy weight pag. 13
Addition of Avoirdupois little weight pag. 16
Addition of Avoirdupois great weight pag. 17
Tables of Liquid Meaſures, Dry Meaſures, Long Meaſures, and Time pag. 18
The proof of Addition pag. 21
Subſtraction pag. 22
Queſtions performed by Addition and Subſtraction pag. 31
Multiplication pag. 33
Compendiums in Multiplication pag. 41
The proof of Multiplication pag. 42
Queſtions performed by Multiplication pag. 44
Diviſion pag. 45
A ſecond way of Diviſion pag. 55
A third way of Diviſion pag. 57
A fourth way of Diviſion pag. 60
Queſtions performed by Diviſion onelyonly pag. 65
Reduction pag. 67
Progreſſion pag. 70
Geometrical Progreſſion pag. 75
The Golden Rule pag. 80
The Golden Rule Reverſe pag. 88
The Golden Rule compounded of five numbers pag. 92
Of Fractions pag. 96
Numeration pag. 97
Multiplication pag. 100
Diviſion pag. 102
Reduction pag. 104
Addition pag. 110
Subſtraction pag. 112
The Rule of Fellowſhip pag. 114
The Rule of Fellowſhip with time pag. 120
Alligation pag. 124
Poſition pag. 131
The Rule of Ceres and Virginum pag. 137
Extraction of the Square Root pag. 147
A table of Square Roots from 1 to 1000 pag. 151
Extraction of the Cube Root pag. 162
A table of Cube Roots from 1 to 1000 pag. 165
Some uſes of the Square and Cube Roots pag. 177
The Second Part of Decimal Arithmetick.
TAbles of Reduction of Engliſh Coin 185
Of Troy weight Ibid.
Of Avoirdupois great weight 187
Of Avoirdupois little weight 188
Of Liquid Meaſures Ibid.
Of Dry Meaſures 189
Of Long Meaſures Ibid.
Of Time Ibid.
Of Dozens 190
The uſe of the Tables of Reduction 191
Notation of Decimals 208
Addition of Decimals 209
Subtraction of Decimals 213
Multiplication of Decimals 215
Diviſion of Decimals 220
The Rule of Three in Fractions both Vulgar and Decimal 228
The Rule of Three reverſe in Decimals 239
The double Rule of Three in Decimals 240
The Third Part of Inſtrumental Arithmetick.
INſtrumental Arithmetick what 245
A Figure of the Scales 246, 247
Numeration upon the Scales 247
Addition by the Scales 257
Subſtraction by the Scales 262
Multiplication by Nepeirs Bones 264
A Figure of the Bones 265
Diviſion by the Bones 27…
Examples in the Rule of Three direct 273
Examples in the Rule of Three reverſe 275
Examples in the double Rule of Three 277
Examples in Barter 279
Examples in Fellowſhip 281
Examples in Loſſe and Gain 285
Examples in Loſſe and Gain upon time 280
AN Appendix conteining divers queſtions concerning Exchanges of the Coyns, Weights, and Meaſures of one Countrey, with thoſe of another Countrey, with divers tables thereunto belonging, alſo Tables of Intereſt and Annuities at 6 per Cent. Compound Intereſt.
The fourth Part, being an Abridgement of the precepts of Algebra.
A Table of the Coſſick Characters 324
The Alegorithm of the Coſſick Numbers 325
Addition of ſimple Coſſick numbers 326
Subſtraction of ſimple Coſſick numbers 326
Multplication of ſimple Coſſick numbers 326
Diviſion of ſimple Coſſick numbers 326
Addition of numbers compoſed and diminiſhed 327
Subtraction 328
Multiplication 329
Diviſion 330
The Alegorithm of Fractions ibid.
The Rule of Algebra ibid.
How Equations are found 331
How Equations are reduced 332
When to extract a Root 333
To extract the ſquare root of numbers compounded and diminiſhed 334
How to know whether a queſtion propounded be impoſſible 336
The Algorithm and uſe of ſecond roots 337
Addition of ſecond roots ib.
Subſtraction of ſecond roots ib.
Multiplication of ſecond roots 338
Diviſion of ſecond roots ib.
The extraction and uſe of ſecond roots ib.
The Algorithm and extraction of the root from ſurd and irrational numbers. 339
Reduction of ſimple ſurd roots to one and the ſame denomination 340
Multiplication and diviſion of ſimple ſurd roots 341
How to know whether two ſurd roots be commenſurable, or incommenſurable ib.
Addition of ſimple errational roots ib.
Subſtraction of ſimple irrational roots 342
Addition and Subtraction of numbers, ſurd, compound, and diminiſhed 343
Multiplication of numbers, ſurd, compound, and dininiſhed ib.
Multiplication of univerſal roots 346
Diviſion of univerſal roots 347
Addition and Subtraction of univerſal roots ib.
The Extraction of the root from Binomials and Apotomals 348
The uſe of Algebra 349
Queſtions reſolved by one ſimple equatoon ib.
Queſtions reſolved by a compound equation 352
Queſtions reſolved by ſurd numbers 356
Geometrical queſtions reſolved by Algebrae 359
Queſtions reſolved by ſecond roots 362
Queſtions reſolved indefinitely 364
In Appendix.
QUeſtions in Algebra which require the Rule of thee in their operation 369
Examples in Algera concerning Squares 390
Examples relating to Cubes 391