space described during the time D E, supposed infinitely short, will be proportional to the area DEF G, which is expressed by the product of BC and DE; consequently the whole area A EF, will represent the space described in the time A E, and A H I, the space described in the time A H; but A H I is half of the square H K, and A E F of E L, the space is therefore always as the square of the time, and is equal to half the space that would be described, in the same time, with the final velocity." Let the preponderating ring be removed at the time A H, the equal weights will continue their motion uniformly with the final velocity, and describe spaces directly as the time. And in the time H M = A H, the space it will describe is represented by the square I M = HK = PN. The scale, which follows, applied as an income tax on real property, is in accordance with the above law, and whenever it shall please the Almighty that it shall be adopted-it will "feed the hungry; clothe the naked; and render to every man his due," only by its justice! It begins with yearly incomes from real property of 50%., assuming that a person could spare ten shillings or one per cent. from it to preserve general order, leaving him 497. 10s. for necessary subsistence and comforts: or it might begin at a higher income, according to the circumstance of each community : The same per centage of equality continued. The equity of this scale is proved, by the number of persons such incomes will maintain, after paying the tax; being directly as the amount of the several sums required, for the maintenance of so many people; and, which is seen as follows: To explain. The sum allowed for the maintenance of the first person, after paying the tax, is £49. 10s. which gradually decreases in amount, the first per centage paid to fifty; because, that number of persons could live cheaper together, throughout the progressive increase; and, therefore, a just proportion is allowed, for every one maintained in a family, before the scale takes effect. Thus, suppose a person has an income of £5000. per annum, and he maintains in his establishment fifty people: the sum allowed is £25. each, or £1250., which deducted, leaves £3750. to spend in luxuries; and the tax is 50 per cent., or £1875., which is about 37 per cent. from the whole income. Again, let the income be £1000. and that ten people are maintained in the establishment; the allowance for each person is £45., which substracted from the £1000. leaves £550. on which the tax is paid, and against that sum is 11 per cent. or £60. 10s. ;-or, that five people are maintained, it is then £47. 10s. for each person; which leaves £762. 10s., and on the scale against it is 15 per cent., or £112. 10s. Hence is seen that enough is left for every reasonable want, after deducting a due share to support the social order of the community. Here then is that law which is in accordance with the revealed law of God; namely, to render the same justice to others we desire ourselves under similar circumstances, and also with the meaning of law as interpreted by the wisest of all ages; namely, "to live honestly; to hurt nobody, and to render to every one his due." Now, as the Almighty Lord in His government of the general creation established and supports this law-Can reasonable beings say it is not his law, when applicable to all their wants as reasonable beings? This law being established on strict mathematical principles, hence, all mathematical knowledge emanates from the Lord, and no true wisdom does any one possess but directly from Him: and hence His words: "Without me ye can do nothing," John xv. 5. I 2 |