Imágenes de páginas

The furious Mob, whom Ignorance excites,

With Clubs and Staves my harmlefs Life pursue ; And, Strangers to true Rational Delights,

With unrelenting Breasts my Torments view. Nor only those, but fome there are who boast Of Birth and Education more refin'd

; Yet have all tender Sense of Piry loft,

And to encrease my Suff 'rings are inclin'd.
The Roman Gladiators hardly knew

Such cruel Mis’ries as we undergo ;
For, arm'd with Spears, we deadly Wounds renew,

And treat our nearet Kindred like our Foe.
To make our Scene of Woe the more compleat,

Whilft we lie strugling in the Pangs of Death,
The rude Spectators ridicule our Fate,
And with Huzza's attend our dying Breath.

(6.) ENIGMA the 22d, by W. W. WHen

THen first this Earthly Ball was made,

And by th’ ALMIGHTY firmly laid i
When Starry Orbs bespread the Sky,
Existence I had none For why
When Sob began to rule the Day,
And Luna trac'd her oblique Way,
In diff'rent Parts I dormant lay ;
'Till fome ingenious Artist, who
Deserves our Praife, and Wonder too,
Discover'd, form’d, and brought me forth,
I'm now become an Help on Earth.
Of various Parts I am compos'd,
Hid Secrets are by me disclos'd
By Art i do raise up the Dead

And make him lift bis drowsy Head
I'm mighty useful unto all,
Both High and Low, and Great and Small ?
Yet through my Race I'm fubject to
Diseases which I undergo,
Which bring me oft to bad Condition,
If not reliev'd by my Physician ;
Who soon applies a Lenitive,
True Service then again I give.
In fev'ral Countries' inake my Stay,
As England, France, et cetera ;


But in what Land foc'er I be,
I must have a Xenodochy :
When placed there I seem at Reft,
Nor Heat nor Cold do me molest.
My Bus'ness is to tell true Tales,
Yet oftentimes my Skill me fails :
But this to me is no Disaster,
'Tis all imputed to my Mafter.
But hold. “Let me declare no more,
I've said enough. My Name explore.


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New Mathematical QUESTIONS

to be answer'd (1.) QUE S'T ION the 43d, bn R. P. TH HREE Merchants when returning home,

Each from a different Fair, By Accident to the fame Inn

For Lodgings did repair : Supper being ended, they began

To reckon up their Gains, Hoping they would fufficient be

To recompence their Pains ;
When right caft up, the total Sum

Two Thousand Crowns was found,
This rais'd their Spirits, and made the Glass

Circulate briskly round.
Moreover if you add the Gain

Of the First and the Second,
And of the Third's Gain, the Cube Root

Substract from thence, I reckon
There then will reft, if you have done

The Work precisely true,
The Gain of the first Merchant

; more
* Three Hundred Sixty Two. (* viz. 362 Crowns.]
But add the Profits of the Second,

And of the Third exact,
And the Square Root of the first's Gain,

From the said Sum fubftract,
You'll find remaining, when the Work

Shall be compleatly done,
The Gain of the third Merchant ; more

* Three Hundred Forty One. (* viz. 341 Crowns.] I wish that fome ingenious Pen,

Would unto me explain,
Prom these pre-cognita, th' Amount
Of every Merchant's Gain,

( 2.) QUESTION the 44th, by G. Tr_t. FOUR Men, (viz.) A, B, C, D, have each a certain Number of Crowns unknown, the Crowns of

A, B, C,

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A, B, C, multiply'd together, make 252 ; those of B, C, D, multiply'd tegerher, make 756 ; those of C, D, A, multiply'd together, make 336 ; and those of D, A, B, multiply'd together make, 432 ; Quere how many Crowns each Perfon had.

( 3.) QUESTION the 45th, by the same. AN unknown Sum of Money is to be divided a.

mongst an unknown Number of Men, if there had been two Men more, they would have had Ten Pounds a-piece lefs : But if there had been two fewer, they would have had Twenty Pounds a-piece more ; what was the sum of Money, and the Number of Men ?

(4) QU E STION the 45th, by S. D. PON a Friend's Request the other Day,

A Field * triangular I did Survey ;
The difference of the Legs. I found to be
Exact One Hundred, Forty Yards and Three,
Likewise, if from the Angle right you shall
A perpendicular to th' f Base let fall.
The greater Segment will be to the less
l'th’ Ratio which the Margin does Express.
This being known, tell me I pray,
Bach. Segment, Side, and Area.

(5.) QUESTION the 49th, by J. N. IN N the Triangle A, B, C, (Fig. 13.) there is given

the Side A C= 88, Chains, and the Side BC= 95. and the Side A B = 58. Now suppose the Side CA be produced to D, fo that AD = 10. Chains, and the Perpendicular D E being erected equal to so. . Chains, its required to draw from E, the Line ESP in fuch Sort, that the Triangle A B C may be to the Triangle A SP in the Ratio of 5 to 3.

(6.) QUESTION the 48th, by J. T. TWO Tyro's in the Mathematicks, late

Together had a very warm Debate,

* Right-angled.
| Or Hypothenuse.

Yet # As 3 to 20


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Simp Algebra

Yet after long Engagement in Dispute,
Neither could his Antagonilt confuce
A Triangle right-angled was the Question,
Which prov'd too hard for their weak Minds digestion.
In which (as I'm inform'd) the Data were
Th' Hypothenuse, and Side o'th' infcribu Square.
Says one, with pofitive affeverarion,
It may be folv'd by a Quadracic Equation :
Quoth th' other your Affertion 1 dery,
And (if you please) shall give the reasons why.
Now, it some Friend, experienc'd in this Art,
In the next Miscellanea will impart,
To the said Question a Solution true;
Repeated Thanks will for his Pains be due.

(7.) QUESTION the 49th, by J. T.
A Triangle ABC (vide Fig. 14, the Sides A

BC, of which are produced towards H and G)
being given : If from any Point P taken in the Baie
A B, we erect the Perpendicular P E F, and if we
take PM equal to a mean Proportional between PE and
PF; and find an infinite Number of such Points M
it is required to find a Curve which is the Locus of
them all.

( 8.) QUESTION the soth, by J. T.
NE* Evening as I walk'd alone,

* In Aprih 'Twas in a Meadow green,

I'th' Latitude of t Fifty Three,

ts3 : 0 N.
The Sun that Time was seen :
His Azimuth was from the South,
Degrees jult Forty Threes,
If to this Altitude, his Declination adiled beg
Juf Fifty Nine Degrees their Sum ;
i Tell me from hence I pray,
The Day o'th' Month when this was done,
Like wise the Hour o'th' Day.

( 9.). Q v E s TION the sift, by J. T.

Here is given the Height of a Parabolic Conoid cqual

to 30 Inches, and the Diameter of its Bafe 48 ? Required to project ibis Stereographically, and to folve it both 7'rigonometrically, and Algebraically.



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