The furious Mob, whom Ignorance excites,

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

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

Yet have all tender Senfe of Pity lost,

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 nearest Kindred like our Foe.
To make our Scene of Woe the more compleat,
Whilft we lie ftrugling 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 first this Earthly Ball was made,

And by th' ALMIGHTY firmly laid;
When Starry Orbs befpread the Sky,
Existence I had none: For why
When Sol began to rule the Day,
And Luna trac'd her oblique Way,
In diff'rent Parts I dormant lay;
"Till fome ingenious Artift, who
Deferves our Praife, and Wonder too,
Difcover'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 difclos'd;
By Art 1 do raife up the Dead;

And make him lift his drowfy Head;

I'm mighty useful unto all,

Both High and Low, and Great and Small ?
Yet through my Race I'm fubject to

Difeafes which I undergo,

Which bring me oft to bad Condition,
If not reliev'd by my Phyfician;
Who foon applies a Lenitive,
True Service then again I give.
In fev'ral Countries make my Stay,
As England, France, et cætera ;

}

But

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

New

New Mathematical QUESTIONS to be answer'd

(1.) QUESTION the 43d, by R. P. THREE 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 Glafs
Circulate briskly round.

Moreover if you add the Gain

Of the Firft 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 precifely true,

The Gain of the firft 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 firft's Gain,
From the faid Sum fubftract,

You'll find remaining, when the Work
Shall be compleatly done,

The Gain of the third Merchant; more
*Three Hundred Forty One.

I wish that fome ingenious Pen,

Would unto me explain,

[* vix. 341 Crowns.]

From 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,

47

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

(3.) QUESTION the 45th, by the fame. 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) QUESTION the 46th, by S. D.
ITPON 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,
Likewife, if from the Angle right your fhall
A perpendicular to th' f Bafe let fall.
The greater Segment will be to the lefs
I'th' Ratio which the Margin does Exprefs.
This being known, tell me I pray,

Each Segment, Side, and Area.

(5.) QUESTION the 47th, 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 fuppofe the Side C A be produced to D, fo that AD ro. Chains, and the Perpendicular D E being erected equal to 50. Chains, its required to draw from E, the Line ESP in fuch Sort, that the Triangle ABC may be to the Triangle ASP in the Ratio of 5 to 3.

T

(6.) QUESTION the 48th, by J. T. 'WO Tyro's in the Mathematicks, late Together had a very warm Debate,

* Right-angled.

† Or Hypothenufe.
As 3 to 2.

E

Yet

This Quest is in tra, 274

Simp Algebra.

34 New Mathematical Questions, to be answered.

Yet after long Engagement in Difpute,
Neither could his Antagonist confute :

A Triangle right-angled was the Question,
Which prov'd too hard for their weak Mind's digeftion.
In which (as I'm inform'd) the Data were

Th' Hypothenufe, and Side o'th' infcrib'd Square.
Says one, with pofitive affeveration,

It may be folv'd by a Quadratic Equation :
Quoth th' other your Aertion I deny,
And (if you pleafe) fhall give the Reasons why.
Now, it fome Friend, experienc'd in this Art,
In the next Mifcellanea will impart,
To the faid 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 C B C, 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 fuch Points M i 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 April 'Twas in a Meadow green,

ON

Ith' Latitude of t Fifty Three,

The Sun that Time was feen :

His Azimuth was from the South,

Degrees jult Forty Three,

d.

t 53: N.

If to this Altitude, his Declination added be,

Juf Fifty Nine Degrees their Sum;

Tell me from hence pray,

The Day o'th' Month when this was done,
Like wife the Hour o'th' Day.

T

(9.) QUESTION the gift, by J. T. 'Here is given the Height of a Parabolic Conoid equal to 30 Inches, and the Diameter of its Bafe 48

Required to project this Stereographically, and to folve it both Trigonometrically, and Algebraically,

Inches