Page images
PDF
EPUB

the incredibles. And you juftly ob. cepts “ impracticable." And wheni ferve, “ that this unfortunate word you also say, that among the many (faith) has indeed been so tortured propofitions which contradict our and so misapplyed as to mean every reason, and yet « are demonftrably absurdity, which artifice could imposé true; one is the very firft principle of upon ignorance."-You likewise say, all religion; the being of a God; for that “faith is a moral duty injoined that any thing fould exift without a by this inftitution, and in the Newt cause, or that any thing thould be the Teftament, in general, it fignifies an cause of its own existence, are propo. humble, teachable, candid difpofition, fitions equally contradictory to our a truft in God, and a confidence in his reason." This reasoning i dispute. promises."

There is a fallacy in the inftance of Nevertheless, after these juft views Hlustration ; for as much as the Deity you have given of faith as a moral is an absolutely uncaused, necessary duty, and as that exertion of the being; and as such can only be conmind, on which all religion and mora. ceived by us. Nor can any ideas of lity must intirely depend, you very hin which are contradictory to our unaccountably tell us another moral reason, allow us to reverence and duty is, " to acknowledge, that we can adore him. do nothing good by our own powers As to the impradicability of its preun!els alisted by the Creator's over. cepts, you have happily expofed the ruling infuence." Here I would ask, miftake, when you say, “ if it be afk, can obligation extend beyond the ed, was Christianity then intended given.powers? Will the governor only for learned divines and profound exact 'an use and improvement of philofophers ? I answer, no; it was more talents than he has given ? at first preached by the illiterate; and Does he require brick without Atraw? received by the ignorant; and to such, Yes, you virtually affirin he does; are the pra&ical, which are tbe mafi nefor you say, “ the truth of the doc. cefary parts of it, sufficiently intelligi. triue may be demonstrated both by rea- ble."-And again, “ by moral preson and experience; and that it is pro- cepts founded on reason, I inean all ductive of inuch bumility, resignation, those, which enforce the practic of and dependence on God."-Whereas such duties as reason informs us muft reason and experience teftify a con- improve our natures, and conduce tờ sciousness of having had our conversa- the happiness of mankind.” tion only as becomes the Gospel; and You further own, the gospel has having given all diligence to make our afforded that divine affittance which calling and election lure, is the ground would have reformed the world, when and realon of such refignation and you say, “ Chriftianity has done a dependence. In truth, you, Sir, own great deal towards diminishing the vj. as much, when you say, " we have ces and correcting the dispositions power over the mind's eye, as well as of mankind, and was it universally over the body's, to fhut it againft the adopted in belief and practice, would strongest rays of truth and religion, totally eradicate both fin and punishwhenever they become painful to us, ment." I hereupon ask, what more and to open it again to the faint glim- affistance do we need in the moral life? merings of scepticism and infidelity, How can we be better informed, when we love darkness rather than either in tlte truth or in the grace of light, because our deeds are evil, God? which you think fufficiently refutes I should humbly be of opinion, there all objections to the moral nature of must be an extravagance in your obfaith, drawn from the supposition of fervation on the different genius of the its being involuntary and necessarily Pagan and Christian moralicy, when dependent on the degree of evidence you affirm, " that the most celebrated offered to our understanding." virtues of the former are more appo.

But surely, you must have been site to the spirit, and more inconsistent under the milt of some ill-formed with the end of the letter, than even ideas, when you speak of the revela. their moft infamous vices; and that tion, as contradictory :o reason, incre. Brutus and Cato were less admiflible dible in its doctrines, and in its pre. into heaven; than even a Meslaline

or an Heliogabalus *. This would lead beauty, strength, or any bodily, enus to conclude, a too trong'inclination dowment. to support the enflaving doctrine of men. One more mistake I Mall notice, and refiftance and paflive sbedience, and to that is, “ Christianity" you say “ is fanctify the despotism of tyrants. But a religion revealed to mankind which have you well attended to the special not only contradicts the principal circumitance of the first Christians, passions and inclinations which the which alone could justify the injunc. Creator has implanted in their natures, tions to non-rehitance ? And have but is incompatible with the whole you considered that whenever or economy of that world which he has where ever the cause of Christianity created, and in which he has thought and its fpread, does require such felf. proper to place them.” Did you, Sir, denying ordinances, it would yet be once recollect, that our Lord has enworthy the Christian, that if an infidel joined, that whatsoever we would fmote him on the right cheek, he ihat men pould do to us, we mould do Mould turn to him the left also : or also the same to them, and that this when a man took away his coat, he is the law and the prophets : a rule fhould allow him to take away his quite compatible with the whole æco. cloke allo? Or have you ever duly nomy of that world which he has crea. considered, the non-relikance to the ted, and in which he has thought Pagan magistrate or emperor, can be proper to place us?-Or, did you no rule of conduct to the Christian know he has said, thou sbalt love the under an adminitration that avows Lord our God, with all thy heart, soul, the name of Chriftiant? Every claim mind, and strength, which is the great of absolute authority, or the exercise commandment of sbe law: and that the of a despotism, among professing Chris. fecond is like to it, thou falt love thy tians, has in it all the aggravations of neighbour as thyself: and that on there impiety and crime. And it muft ever two commandments hang all the law be a truth that no other powers are and the prophets. So far from contraordained of God, but such as are dicting the principal passions and inTerrors to the evil doer, and a praise to clinations which the Creator bas imrbem wbo do well

. It will follow, that planted in us ; it is a religion which tho' you have denied that patriotism gives them their regularity, their true and friendship are any virtues at all, Ipirit, and perfection. Man is made they muft reinain the ornamental eni. for truth. Truth is natural, falsehood bellidhments of humanity. Yet, we is unnatural to the human mind. I are ready to own, that there is no in- mhall not touch the compliment you trinsic merit in that patriotism or love have paid to modern bishops, to whom of one's country, that would violate you allow titles, palaces, revenues, and the universal claims of mankind.- coaches, as an improvement of the what will Mr. Jenyns say to our Lord's condition of Apostles. Since it woold weeping over jerusalem ? and to St. be apt to excite much less serious and Paul's wishing to become an anathema grave attentions--but conclude for his brethren, his kinsmen accor with fubscribing myself, ding to the flen? The rational love Your Chriftian brother, of one's country, assuredly, has more

ERASMUS. claim to moral merit, than wit and

Consult the account of Cornelius, A&s x. beginning.

+ See Mattb. XX. 25, 6, 7.

A MER I CAN ANECDOTE, VOME regular officers, foon after 'bullets, and left the hill with great

Gage's arival in Botion, walking . precipitation : concerning which they on Beacon Hill after sun-set, were af. wrote terrible accounts to England of frighted by noises in the air (supposed their being shot at with air guns; as ap. go be the dying of bugs and beetles) pears by one or two letters, extracts from which they took to be the sound of which were publithed in the papers.

For

For the LONDON MAGAZIN E. An Account of fome Egyptian Symbols, emblematical of the Ark of Noah and the

Deluge.

(Illufrated with a copper Plate.) F all the writers on ancient mytho- Tauror Mino-Taurus. Diodorus have been the most discerning and and says that he lived after the æra of accurate. It must be confessed, he the gods and heroes, when a change hath had the advantage of the essays was made in the manner of life among of others, and by standing on their men *. He was the same as Menes, fhoulders is the better enabled to see whom the Egyptians represented as farther than they did. The public their first king, and a great benefactor. are greatly indebted to him for his This was the person who + first sacriJate labours, in which he hath proved ficed to the gods, and brought about that the history of the Ark was preserved the great change in diet, a circumin all countries, as far as evidence can stance which occurs continually in the be obtained, with the greatelt care history of the first ages. He is stiled and veneration. As letrers were not Meen by Herodotus, and Diodorus known in the firft ages, it was descri- calls him Taurus Men-Nenes; from bed under many symbols ; such as a whence we may judge that he was the Cetus, a Pegasus, a Bull, or a Ram. same person whom the Egyptians reveMr. Bryant observes " that it is said renced under the syinbol of the facred of the patriarch Noah, after the deluge, Bull; especially as it was called by that he became a man of the earth, or the same name Mneuas and Mneues. husbandman, addicted to agriculture; Mr. Bryant hath Mewn also that and that this circumstance is religiously Ofiris, the planter of the vine, the recorded in all the ancient histories of inventer of the plough, the great hurEgypt. On this account he imagines bandman, was no other than Noah, that the ox, so useful in husbandry, and to him these animals were sacred. was made an emblem of the patriarch. Plutarch informs us that the Bulls Hence we find 'so many pieces of an- Apis and Mneuis were alike facred to cient sculpture, on which is to be seen Oliris ; and looked upon as living the ox's head with the Egyptian mo oracles and real deities, and to be in dius between his horns, relative to the a manner animated by the very soul circumstances of this history. The of the personages whom they repre. living animal was also in many places sented.But they were not only reheld sacred, and revered as a deity. presentatives of the person by w hom At Memphis they worshipped the fa- the world had been so much benefited, cred Bull Apis : at Heliopolis they but of the machine likewise in whichi held the Bull Mnevis, or Mneuis, in he was preserved. This was described equal veneration. So in other places, as a crescent, and called Theba, Baris, only with this difference, that the ob- Argus-And these terms and the name ject of adoration was sometimes an of an ox or bull were synonymous heifer or cow.

among the Eastern nations. Thus it That the Apis and Mneuis were both is said, “ The sacred heifer of the Syrepresentations of an ancient personage, rians is no other than Theba, the is certain. Mneuis, or as the Dorians Ark,” because it was so typifed. And exprefled it Mneuac, is a compound it is remarkable that when the Israel. of Men-Nevas, and relates to the fame ites fell into idelatry, they worshipped person who in Crete was stiled Mi Nos, a calf in Horeb, and when it was Min-Nos, and whose city was Min- renewed under Jeroboam, fill the Noa : the same allo who was represent object of worship was the same. ed under the emblem of the Men

From • Diod. L. 1. p. 84.

+Ibid. p. 42.

1 Ifis and Osiris, p. 366.

19

From the Egyptian bieroglyphics hieroglyphic; wherefore it is said of mil-interpreted, came the Itories of Astarte by Sanchoniathon, “The god. Europa and Pasiphae, also the fable dess placed the head of a bull upon about Argus and lo. They all related her own head, as a royal emblem". to the same event, and to the machine Such was the figure of the Minotau. itiled Bts or Taurus wherein Osiris rus, which Pausanias ftiles the bull was inclosed. It is said of iffs, that called Mino. By this is meant the during the rage of Typhon ne preser. Sacred emblem of the Deus Taurved him in a bull of wood, by which Meen No, which emblem was reveren, is meant the ark, Theba.

ced in Crete at Minoa, the fame as As the Egyptians imagined that the Meen-Noa the city of arkite Noah. horns of a young ox or bull had some Memorials of this nature seem to resemblance to a lunette which was an have been universally preserved, and the emblem of the ark, we find most of fame hieroglyphics as in the plate to the arkite divinities distinguished either have prevailed in regions widely dif. with a crefcent or with horns. The tant. Bull's head was esteemed a princely

BY

; and

MATHEMATICAL CORRESPONDENCE.
Answers to the Questions in our Magazine for May lajt.

[58] Question I. Answered by Qida p9es.
Y division and cubing both equations there is obtained *2 =

311

so
1073741824
; by squaring the former x4 =

262144; by equating and re

y} duction 26 =

1073741824

= 4096 : y = 4, and x = 8.

262144 Mr. Keech, Mr. Hampshire, Algebraicus and others answered Wis question.

[59] QUESTION II. Answered by Londinensis. IN the annexed figure let ABC be any

G triangle, the rectangle of whose fides AC * CB is given, and AI X IB the rectangle of the segments made by the bisecting line CI is given, then the rectangle of the radii of the circumscribing and inscribed circles is known.

Demon. From F and D the centres of the circumscribing and in seribed circles let fall the perpendiculars FK DL upon CI and

F AB, then (per prob. 26 III. Sim. Geo. 2d.

13 Edit.) AC X CB = AI X IB + CI? .

D
AC X CB . AI X IB = CI? hence (ACX
CB and Al x IB being given) Cla, allo CI
becomes known, allo ATX IB = CI X IH

B :. HI is known, but per fimilar triangles HI : HB :: HB : HC , HB = (per prob. 67 British Oracle = HD) is known, and

H HD HI = Di is known, also FK being I to CH, HK will be = HC

and therefore known, also per similar triangles DL : DI :: HK : HF but DI X DH is known, therefore DL * HF being = thereto, and = the rece tangle of the radii of the circumscribing and inscribed circles, is also known.

Q. E. D. The Proposer, Mr. Keech, Theon, Mr. Sanderson, and others, favoured *s with elegant answers. July 1776.

[60] QUES.

[ocr errors]

2

[ocr errors]

[60] QUESTION III. Answered by Nauticus the Proposer. Conft. Let AB and CD be the given Araight lines, P and Q the given points,

P and the given ratio that of RS to US. Draw PG parallel to CD and join the

L points P and in PQ, produced if necessary, take QF : PQIUS : RU, and join F and G. Lastly, through Q parallel to FG, draw QH, meeting Að

K in H, the point required. Demonft. Draw HP : then by similar

Il

E triangles HK : HI :: LK: PL' :: KE :

G B IG; and by permutrion LK : KE ::

D PI: IG :: PQ : QF (by similar triangles) :: RU : US (by construction)

R U S. and therefore by composition of ratios LE: KE :: RS: US.

Q. E. D. Scholium. There are no limitations to this question, unless we except that particular case wherein the given ratio happens to be that of PQ to PB, in which the point H is removed to an infinite distance, and in this the two required lines muit be drawn parallel to AB.

The same answered by Mr. Hampthire.

Conj. Let AB and CD be the given lines, meeting in H, P and R the given points, P and m to n the given ratio. Draw RE parallel to AB meeting CD in E, and take RE K to EF in the given ratio, draw PF, cutting

H CD in I, the point required, and AB in G,A.

B draw RI, meeting AB in K; then will KH

I be to GH in the given ratio.

Dem. RE : EF :: min by Confi. and :: KH : HG by similar triangles.

E

K Limitation. In this case where the points are situated in opposite angles (made by the given lines) there will be no limitation, but if they are situated in one angle, or in adjoining angles, it will be impossible when RE passes through both the points. [5+] Question III. in our Magazine for March last, answered by Mr.

T. Todd of West Smithfield-
If 1 = semitransverse gh, c= semiconjugate GH or

T Hm, * = HB, b=bH, b* = 6B, and

= 32 feet tbe velocity acquired in the perpendicular fall of -- feet in the first second of time, then per laws of descending bo= velocity per second in descending

16 through an or through the curve Aa, and by the resola. A

B tion of forces, tangent TA : VasxT-37:: AB :

72 AB V 2s xh-x} = velocity in direction BA, a maxi

H AT mum, when the ball quits the curve. By conics HB (x):

© (2 - x2 Bm (c-x) :: BG (C+*): BT =

and it? ::

2

712

dies v

2s x 5

[ocr errors]
[merged small][ocr errors]
« PreviousContinue »