its Outfide

100. Required the Solidity when a Maximum, or the greatest poffible?

(5) Question 125. by Mr. John Watchorne. Given the Solidity of the Sector of a Sphere: 1413.72, and the Radius=15, to determine the greatest infcribed Cylinder?

(6) Question 126 by Mr. Thomas Mofs.

If the Middle of a perfect cylindrical inflexible Rod whofe Length is 48 Inches be fo fix'd as to turn freely upon a Pin, and at one End of the faid Rod let a Cone be fix'd upon its Base whofe Diam. is 10 Inches and Altitude 16; alfo let the faid Cone be made to afcend by a Power acting at the other Extremity of the faid Rod: to determine the Pofition thereof when the faid Rod turns, fuftains a Weight, which is to that it fuftains when the Rod is in an Horizontal Pofition as 3 to 4?

(7) Question 127 by Mr. William Bevil.

There is given the Head Diam. of a spheroidal Cask = 32 Inches, the Bung Diam. 40, and the Content of its greatest infcribed Cube in Wine Gallons to its greatest infcribed Cylinder in Ale Gallons as I is to 132. Required the Length and Content of the Cafk, with the Investigation of the fame?

(8) Question 128 by Mr. Rich. Gibbons.

Rambead bears S.W. by W. from Plymouth Fort; and Edyflone due S. from Ramhead, at 3 Leagues Distance; from which laft Place we fail'd on a Party of Pleasure, due East; until our Boat was in a right Line between Edyftone and the Fort; from whence we faw the Flash of a Piece of Ordnance, Fifteen Seconds of a Minute before we heard the Report: Now suppose Sound to move 1142 Feet in 1 Second? Required the Bearing and Distance of Edystone; likewise the Distance of Ramhead from the Fort, with the Construction?

(9) Question 129 by Mr. William Wigglesworth.

Given the Line bifecting the Angle at the Bafe of a Rightangled Triangle 48 Chains, and the nearest Distance from the Right Angle to the Periphery of the infcribed Circle = 4 Chains, to find the Sides?

(10) Question 130 by Nummularius.

What Annuity, to continue for 20 Years only, may be purchafed for 1000 Pounds ready Money, allowing the Purchaser Five per Cent, per Ann. Compound Intereft for his Money?

New

New Ænigmas to be anfwer'd in next Year's Diary. (1) Enigma 83 by Somebody.

WHATEVER diffrent Paths Mankind pursue

Me they principally keep in view,

'Tis Me, in ev'ry Action, they intend;
The noblest Motive and fuperior End!
'Tis I the fcarcely-finish'd Soul incline,
It's first Defire and confcious Thought is mine;
The Infant Breaft is fway'd by me alone,
When Pride and Jealousy are yet unknown.
Thro' Life's obfcure and wild Variety,
Man's ftedfaft Wishes never ftart from me;
I am of all his waking Thoughts the Theme,
He courts me too in ev'ry nightly Dream:
Th' immortal Flame with equal Ardor glows,
Nor one fhort Moment's Intermiffion knows,
Whether to Courts or Temples Men repair,
With reftlefs Zeal they fearch me ev'ry where;
Whether the Roads that to Perdition lead,

Or thofe which guide them to the Stars they tread,
I am the fair, inestimable Prize,

The glorious Mark on which they fix their Eyes! (2) Ænigma 84. by an ancient Poet, and a modern Sap Scull. My Empire meaner is, than is my Birth,

I'm made of Mold-refin'd, not common Earth;
Have Flesh, and Bones, and Blood, endu'd with Life,
And peaceful live, a Stranger to all Strife:
Yet the bold Hero whom Ambition arms,
Faces grim Death, but ftarts at my Alarms:
The Gold-lac'd General does dread my Sight,
More than the daring Foes he ftands to fight;
And tho' his happy Standards do prevail,
E'er Night to me, he furely turns his Tail.
I the Grand Signior do furpass in Pride,
For I on Chriftians Backs in State do ride!

Nature refines what is by Nature crude,
For me the cooks and dreffes Human Blood,
To make it to my Palate pleafing Food.
I many Heroes too do force to yield,
Who strip to own me Mafter of the Field:
Yet 'twould be great Injustice to pass o'er
How kind I am, and mindful of the Poor;

}

Whate'er befalls them of Calamity,

They're fure to find a Bofom-Friend in me!
Which make poor Cripples, begging in the Street,
To beg for me of ev'ry one they meet:
Who can my Pow'r defcribe, my Glories fcan?
I'm Lord of Nature, fince I'm Lord of Man;
In these you may my wondrous Value fee
The World was made for Man, and Man for me
(3) Enigma 85 by Tom Faggot.

ON me the Graces and Delights attend,
On my propitious Influence

Your gayeft Hours depend;
Whatever charms the Soul or Senfe,
Beauty and Sacred Harmony
Does properly belong to me.
To me, his shining Genius Strephon owes
His juft Ideas and Expressions fit

To me Cleora owes that fprightly Wit
Which from her Lips in eafy Language flows.
The mute Creation owns my Sway,
And Things inanimate my Laws obey;
At my Command the firft Confufion ceas'd,
Chaos and wild Disorder were appeas'd,
Difcord and fierce Antipathy grew mild,
The Gleams of Light, thro' yielding Darkness finil'd,
And warring Elements were reconcil❜d..

No fabled Venus gave me Birth

At Cyprus; yet the Goddess was not nam❜d,
Nor at Idalia, nor at Paphos fam'd:

Nor yet was fam'd from foaming Seas to rife;
For yet no Seas appear'd, or Fountains flow'd,
Nor yet, diftinguifh'd in the Skies,

Her radiant Planet glow'd.

But I was long e'er Motion fprung its Race,
E'er Chaos and immeafurable Space

Refign'd their useless Rights to elemental Place.
Before the fparkling Lamps on high

Were kindled up, and hung around the Sky;
Before the firft Intelligences ftrung

Their golden Harps and foft Preludiums fung

To me, the mighty Caufe whence their Existence fprung.

By this my glorious Linage, you may

fee

My high Defcent; for Gop himself is ME.

(4) Enigma 86 by Mr. Sam. Hammond, of Nottingham.
Upon a level, barren Ground, In open Light, I'm often found;
But as the Darkness, where I'm feen, is fpread, I disappear.
And tho' this is contrary quite, Unto the Nature of a Spright,
Yet I do very often ape, Fam'd Proteus in changing Shape

I'm oft transformed to a Woman, A Man, or Child: 'Tis also common
For me to represent a Day O'th' Month, the present Year, or play
A Metamorphofis into A Sum of Money, or a new

Reg'ment of Foot, or Troop of Horse, Or any other Warlike Force.
There's fcarce a City, Corporation, Or County in the British Nation,
But I've been known to reprefent In the high Court of Parliament,
Where I am oftner mention'd than The King, or any other Man;
And at both Houses have a Share In many Things tranfa&ted there.
But tho' I am convenient In ev'ry well-fram'd Government,
I'm only us'd (fo hard's my Hap) To ferve a Turn, or stop a Gap:
Continu'd only during Will, And, am difcarded, when to fill
My Place a fitter Perfon's chofe, Till when I'm kept a Pris'ner close,
And cruelly in Bonds confin'd A Pledge for whom my Poft's defign'd.
For this ill Ufage the Pretence is that I ha'n't a Grain of Senfe,
Which my Succeffor's valu'd for; Who takes Occafion on that Score
To fully my poor Innocence, For Service paft, fad Recompenfe! [feel
But, notwithstanding, when the Wheel Of Chance turns round fome People
My Influence fo Arong that you My Name may in their Visage view.

(5) Enigma 87 by Mr. John Noorthouck.

IN barb'rous Nations first I took my Rife,

Tho' now politer People do me prize;

And, they thro' Love to me, and to Vain-Glory,

Exclude more ufeful Things, known long before me:

Nay, now the meaner Sort, thro' Emulation

Will me poffefs, how poor foe'er their Station,

And spend that Time in trifling about me

Much worse than those who chufe to live without me:
Tho' my Admirers in me take great Pleasure,
And in my Company employ their Leifure;
I make them weak, with Fancies fill the Head,
And even Sticks or Straws, or Shadows dread.
Am much admir'd and lov'd by Woman-kind,
Who (fpite of Reafon) to my Faults are blind
(Whole Hufbands finding Things do not go right,
On my Attendants often wreak their Spite)-
Attending Congregations of my pitching,
More conftant than to any Parfon's Preaching,
And with more Zeal- But hold, no more l'il fay
My true Admirers, tell my Name I pray.

(6) Enigma 88 by Mr. R. M. of Nottingham.

FROM Earth I fprung well known in ancient Fame,
And facred held in great Saturnus Reign;

One gentle Draught from my furprizing Stream,
Will Wonders do, and eafe the Mind of Pain:
To Love-fick Maids it quickly brings a Cure,
And perjur'd Swains does with Oblivion lure,
A grander Opiate than Æfculapian Lore,

}

M

And gentle Eafe, it gives to Womankind,
For Vifits mifs'd, or Torments of the Mind,
For Lofs at Whift, ill Luck at dear Quadrille,
Or Parrot dead, or pretty Lap-Dog ill :

It cures the Gout, the Phtbific, and the Spleen,
By gentle Ways, fcarce either felt or feen;
Nay, Amputations, or a broken Bone,
The Vapours frightful, or a Fit o'th' Ston?,
A Lawyer's Confcience, or a Courtier's Fears,
And ev'ry other Ill that Mankind bears.

An Alphabetical Catalogue of Contributors to this Diary. The Letters i, ii, &c. fhew the Queft. the Figures the Ænig, each answd. R. Wm Abbot ii, ix. all Æ. inVer. Algebra all E. and Par. inVMr. Wm Bevil i, ii, vii, ix, x. prop. 1 Q. Mr. Fra. Booth 2 and Par. Mr Rob. Butler i, ii, iii, vii, ix. pr. 1 Q. St. Chad all Æ. in Ver. Jack Careless i, ii, ix, x. 1,2,3,5,6. and Par. inV. MrJohn Chester 1, 3, 5.6. in V. pr. 1. MrJonath.Coley all Æ. but iv. Mr R. Collins all but 4V. Par. and pr. Par. Mr John Dyke all A. and Par. in V. Mr Wm Earle i, ii, vii. Ecl. Mr Wm Enefer i, ii, v, vii, ix, x. 1, 2, 3, 5, 6. Mr. Ja. Gane all E. and par. inV. pr. Par. MrTho. Garrard all Q. Mr. Edw. Greenfted Ecls. Mr Ph. George i, ii, iìì, v, vii, x. pr. 1 Q. Mr Ri. Gibbons all but viii. 1, 2, 3, 5, 6, and Par. inV. Mr Geo. Godhelp all but vi and viil all . and Par. in V. Ecl. Harland Widd all but vi. Par. Ecl. and Tran. pr. 1Q. Mr S. Hammond all Æ. and Par. inV. pr. 1. 1 Par. and 1 An. MrSt. Hartley i, ii, iii, iv, v, vii, ix. all E. but 4 Ver. pr. 1.Q. and 1 Æ. Sanctus Harmon.iv, x. MrWm Heaford all Æ. and Par.V. pr. Æ. MrJ. Holden all Q. and all E. and Par. inv.pr. 1. Mr J. Hollingworth all Æ. but inv. and Par. Ecl. and Tranfit. MrJa.Hogard iv, all but 4Æ. Ecl. MrCha. Jacka all Æ. but 2 in V. Mr John James Ecl. MrWm Ingram all. and Par. in V. pr. 1 Reb. Mr Fra. Jóce all E. in V. pr. 2 Æ. MrTho.Killingley all Æ. inV. MrWm Kingstone allQ, and allÆ. but4. pro. 10. Mr John Lewin all Æ. but 4 inV. Par. pr. 1 Reb. Mr Abr. Lord all Q and all. but 2. Par. Ecl. and Tran. 8 a Tab. of Ecl. for zo Years. M.W.of W. ii, ix. Mr Rob. Marsh allÆ. and Par. inV. Mr Cha. Mafon Jun. Ecl. Mrs Maywood 1, 3, 5. 6. MrTh.Mofs all but iii. Mr John Ni-, chols i, iv, vii, ix, x. all but 4 and Par. MrJohn Noorthouk ix. all Æ. in V. and Par. pr. 2. and 2 Reb. MrJof. Orchardi, ii, v, vii, x. all Æ. pr. 1 An. MrJohn Palmer all . but 4 inV. Mr Rob. Pearfon allÆ. andPar. in V. MrRob. Peckham i, ii, ix, x. allÆ. but 4inV. Par. and D) Ec. Franky Pennell all Æ. inv. pr. 1 Q. and 1. Mr. Jof. Pilgrim i. 1, 3, 5, 6. Par. pr. 10. Mr Sam. Pilgrim 1,3,5,6 inV. pr. 1Æ. MrWmPirfon i, iv, ví, viii. pr. Æ. R. M. pr. 1Æ. R. all but 6 inV. Mr John Ramfey all but 4 in V. Mr John Randles allÆ. and Par. pr. 4Q and 1. Rimfide i, ii, iii, v, vii, x. 1, 2, 3, 5. inV. and Par. Mr Alex, Rowe iv. 1, 3, 5, 6 inV. Ecl. and Tran.. Mr Paul Sharp all but iv and viti. allÆ, and Par. Mr Cha.Smith all but iv, vii, viii. MrJohn Skay Ecl. Mi WmSpencer all but ix, all but 4, Ecl. MrGeo. Stapley i, ii, v, vii, x. 1, 2, 3, 5, 6. MrWm Swift all . inv. pr. 1 Q. and 2 Æ. Mr Ben. Talbot Ecl. and Tran.☀. Tabularius i, ii, iii, v, vii, vii. Mr Sam. Towndrow i. 1, 6. Ecl. Mr. Ri. Towndrow i. 1, 3, 6. Ecl. TryphenaG---- p. 1Æ. MrWmWadham Ecl. MrJohn Watchorne all but iv and viii. all but 4 inV. Par. pr. 1Q, and 2Æ, Mrjohn Wigglefworth all but vi and viii. allÆ.in V.pr. 1Q. Mr John Williams all but vi. all but 4 in V. MrJafon Worral all Æ. inv. pr. 2Æ.