370

the Shepherd's Age 20 As 22:20:110: 100 Year the Shepherd's Age.

2

ΙΟ

Now, to find the Number of Sheep, we make another Suppofition, as under. Suppofe the Number of Sheep =

40

20

2

then, fince the Sum of thefe Parts fhould be in Proportion to the Shepherd's Age as 15 to 3, we have as 3:15 100 500 the Sum which thefe Parts fhould amount to, whence, as 50 40 500: 400 the Number of Sheep which was required.

* Question 20.

Once as I walk'd upon the Banks of Rye,
To fee the purling Streams glide gently by,
And hear the pretty Birds to chirp and fing,
Making the Groves with Melody to ring;
I in the Meads three beauteous Nymphs did spy,
That for their Pleasure came as well as I;
And unto me their Steps they did direct,
Saluting me with moft benign Refpect;
Saying, Well met, we've Eufinefs to impart,
Which we cannot decide without your Art,
Our Grannum's dead, and left a Legacy
Which is to be divided 'mongst us three.
In Pounds it is two hundred twenty-nine;
• Alfo a good Mark, being Sterling Coin:

Quetta 55, in the Ladies Diary, 1717.

1

Then

Then fpake the eldest of the lovely Three, • I'll tell you how it must divided be;

Likewife our Names I unto you will tell; • Mine is Moll, the others Anne and Nell; As oft as I five and five Ninths do take,

• Anne takes four and three Sevenths her Part to make, As oft as Anne four and one Ninth does tell,

Three and two Thirds must be took up by Nell. Solution. In Order to avoid the Trouble of Vulgar Fractions, we fhall folve this by Decimals first, then 2297. 135. 4d. = 229.666666; 5 ; =229.666666; 5 = 5.555555,4

3

4.428571 and 4 4.11III; hence, to find the Sum which Nell must take as often as Anne takes 4 , we have this Stating, as 4.111111:34-428571 3.949808 what Nell must take as often as Anne takes 4 3

7

Hence as often as Moll takes 5.555555

Anne takes

And Nell must takė

4.428571

3.949808

13.933934

And now, to find each Perfon's Share of the Whole,

Though the Par of Exchange, in Chap. XXIX. of the Ift, Effay, was given on the Authority of the most noted Authors; yet the great Difference between the Par and Courfe of Exchange, in fome Places, made the Au ther doubt the Truth of their Determinations; and thet Miftruft has cccafioned bis making the following Remarks.

1. On France.

By converfing with fome Frenchmen, it appears they have no fuch Coin as a five Livre Piece; but their fix Livre Piece is of the fame Weight as the five Livre Piece in Sir Ifaac Newton's Table; whence it follows, that the 5 Livre Piece is now raifed to fix Livres; hence the 3 Livre Piece, on which they exchange, must be 6032 30.2 Pence nearly.

II. Cf Italy.

By Sir Isaac's Table, the Ducat of Florence and Leghorn, or Piece of Livres, is 64.62 d. Hence the Dollar or 6 Livres must be 55.3 Pence nearly: And, by the fame Table, the Croifat of Genoa, or Picce of 7 Livres, is 78.74d; confequently the Dollar or 5 Livres 52.5 d. nearly.

III. Of Portugal.

The Doppia Mada, or Piece of 4 Mill 8co Rees fi. . 4800 Rees, or as we call it Moidore) is by the abovefaid Table 26s. 10d. 4: Whence the Mill-Ree, or 1000 Rees, is = 5s. 7 d. nearly.

is

IV. Of Spain.

By the fame Table, the New Seville Piece of Eight 43 11d. Hence appears what little Care has been taken by Writers to adjust the Par of Exchange. We with we had proper Data to proceed further on this Head.

THE

THE

INDE X.

Note, In this Article, all the Articles, unless dif-
tinguished thus (2), are in the first Effay.

AXIOM 1. Equal Things being added to equal
Things, the Sums will be equal

2. Such Quantities as are equal to one
and the fame, or equal Things,
are equal to each other

22

23

3. All the Parts, taken together, are 24

equal to the Whole

are}

36

4. Equal Things, taken from equal-
Things, will leave equal Remain-

ders

5. Equal Things being divided by
equal Things, the Quotients will
be equal

108

B.

BARTER, what

First Sort, what

Second Sort, what

364

Some Authors go a round-aboutWay in 366
Some Authors give falfe Solutions in 367

BILLS, concerning Ufance and Days of Grace 352

BONES, NEPER'S

BROKERAGE, what

63

CLOCK, Questions concerning,

See Questions 1. 17. in the Appendix.