TABLE IV. a Ton Imperial in Weight, Dry and Liquid Measure. Exhibiting in one combination the several correspondent divisions of 32 11111 131072 4096 256-16 16—8—4— 2 8388608-262144-16384-1024- 512-256-128-64-324194304-131072 8192 512 256—128-'64— 32—16- 1048576-32768- 2048- 128 64-32-16— 2097152- 65536 4096 256- 128-64- 32-16 524288 16384 1024 64 32-16 16777216-524288-32768-2048-1024-512-256-128-64-32-16—8— one inch, so is the diameter of a cylinder to one face of a square equal in superficial conTo find the solid contents of any cylindrical measure, say, as 1 inch is to .88622692 of 1248 16 32 grain imperial=1 grain of the largest and heaviest wheat; about drachm imperial one drachm avoirdupoise weight. ounce imperial- one ounce avoirdupoise weight. pound imperial-one pound avoirdupoise weight one pint imperial half quarter stone imperial=one quart imperial dry or liquid measure= quarter stone imperial=one half gallon imperial dry or liquid measure=one half stone imperial: stone imperial-one peck imperial dry measure=one quarter firkin imperial half cwt. imperial_1 bushel imperial dry measure 1 firkin imperial liquid measure. tent to the circular superficies of the cylinder: multiply the face of the square into itself to find the number of square inches in its area; the product of which multiplied by the depth of the vessel, will give its solid contents in cubical inches. This is the nearest solution to the squaring of the circle which has yet been found out, and sufficiently accurate for practice-vide, Chambers' Dictionary, Article Squaring of the Circle. There are also the two following proportions, viz : 1. That of Archimedes-as 7 is to 22, so is the diameter of a circle to its circumference; and half the circumference multiplied by the radius, gives the area of the circle; which multiplied by the depth as before, gives the solid contents of the cylinder. 2. That of Metius, who makes the diameter to the circumference, as 113 to 355, and then proceeds in the same manner as Archimedes. Therefore the solid contents of the Winchester bushel, legalized in 1697, and measuring 18 inches in diameter, by 8 inches in depth, worked according to the above proportions will give the three following different products, viz : So that according to the proportions used by Chambers for the quadrature of the circle, which are as nearly as possible the same as those of Metius, the proposed imperial bushel, measuring 1848 cubical inches in solid content, should be 18 inches in diameter, and 7,2512 or rather more than 74 inches in depth, viz: As 1 : .88622692 :: 18 : 15,95208456. Then 15,95208456 X 15,95208456 254,469 X7,2512 1848,004784, or sufficiently near to 1848 cubic inches for accurate admeasurement in common practice. NARRATIVE OF THE Journey and Imprisonment OF PIUS VII. AFTER HIS DEPARTURE FROM ROME, UNTIL HIS RETURN TO THAT CITY. PARIS, 1814. REPRINTED, LONDON, AUGUST, 1814. ` INTRODUCTION, WITH ITHIN a period of fifteen years, two Popes have been conveyed prisoners from Rome to France: these crimes, the effect of a revolution founded in impiety, were levelled to destroy the Church of Jesus Christ, by subverting the pontifical seat, which is the centre of Catholic union; but the triumph of infidel sophisters is past, and the light of heaven again dawns auspiciously on France and the Catholic religion. In contemplating the late events, we cannot sufficiently admire the wisdom of Providence, which thus made the restoration of spiritual power coincident with the return of the sovereign dynasty, whose kings have always borne the title of the eldest sons of the church. Pius VII. returns to his dominions, to the joy of the whole church, at the same time that Louis XVIII. returns in triumph to his kingdom. And what a triumph has he gained, in the love of his people, which is so eagerly manifested! A judicious writer remarked some years ago, "I cannot but call to notice the constant co-operation of political and religious principles during the French revolution. In 1791, Presbyterianism in the church was allied with Democracy in the constitution: in 1793,' the destruction of every kind of worship accompanied the abolition of all government: in 1795, a government without 'Reflexions on the state of the French church, in the 18th century. |