The English Works of Thomas Hobbes of Malmesbury Volume 7 (Paperback)

This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1845 edition. Excerpt: ... Lesson iv. one will. Who doubts it? But how follows it or the faults' from thence, that when a parabolical line is dethnt occur in scribed by two motions, one uniform, the other uniformly accelerated from rest, that the determining of the base does not also determine the whole parabola? But fifthly, you say, that this equality of the impetus to the time does not determine the base. Why not? Because, you say, it is an error proceeding from this, that I understand not what is ratio subduplicata. I looked for this. I have shown and inculcated sufficiently before, but the error is on your side; and therefore must tell you, that this objection, and also a great part of the rest of your errors in geometry, proceedeth from this, that you know not what proportion is. But see how wisely you argue about this duplication of proportion. For thus you say verbatim. "Stay a little. What proportion has duplicate proportion to single proportion? Is it always the same? I think not for example, duplicate proportion T=Tinn *'* double to the single T Duplicate proportion = "lt '* triple to its single f " Let any man, even of them that are most ready in your symbols, say in your behalf (if he be not ashamed) that the proportion of nine to one is triple to the proportion of three to one, as you do. In the fourteenth, fifteenth, and sixteenth articles, you bid me repeat your objections to the thirteenth. I have done it; and find that what you have objected to the thirteenth, may as well be objected to these; and consequently, that my answer there will also serve me here. Therefore, if you can endure it, read the same answer over again. But you have not yet done, you say, with these Lesson Iv. articles. Therefore (after you had for a while...