Synopsis
Excerpt: ... And let ru be knit by a right line: And from r drawne out a diagony untill it doe meete with as, infinitely continued; which shall meete with it, by the 19 e v , in l. And the sides yi, and ru, let them be continued equally to sl. in m and n. And knit ln together with a right line. This complement mu, is equall to the complement ys, which is equall to the Triangle assigned, by the former, and that in a right lined angle given. And 22 If parallelogrammes be continually made equall to all the triangles of an assigned triangulate, in a right lined angle given, the whole parallelogramme shall in like manner be equall to the whole triangulate. 45 p j. This is a corollary of the former, of the Reason or rate of a Parallelogramme with a Triangulate; and it needeth no 146 farther demonstration; but a ready and steddy hand in describing and working of it. Take therefore an infinite right line; upon the continue the particular parallelogrammes, As if the Triangulate aeiou, were given to be brought into a parallelogramme: Let it be resolved into three triangles, aei, aio, and aou: And let the Angle be y: First in the assigned Angle, upon the Infinite right line, make by the former the Parallelogramme ae, in the angle assigned, equall to aei, the first triangle. Then the second triangle, thou shalt so make upon the said Infinite line, that one of the shankes may fall upon the side of the equall complement; The other be cast on forward, and so forth in more, if neede be. Here thou hast 3 complements continued, and continuing the Parallelogramme: But it is best in making and working of them, to put out the former, and one of the sides of the inferiour or latter Diagonall, least the confusion of lines doe hinder or trouble thee. Therefore 23. A Parallelogramme is equall to his diagonals and complements. For a Parallelogramme doth consist of two diagonals, and as many complements: Wherefore a Parallelogramme is equall to his parts: And againe the parts are equall...
"synopsis" may belong to another edition of this title.
About the Author
Petrus Ramus (1515 – 1572) was an influential French humanist, logician, and edu-cational reformer. A Protestant convert, he was killed during the St. Bartholomew's Day Massacre. Early life: He was born at the village of Cuts in Picardy; his father was a farmer. He gained admission at age twelve, to the Collège de Navarre, working as a servant. A reaction aga-inst scholasticism was in full tide, at a transitional time for Aristotelianism. On the occasion of taking his degree (1536) Ramus allegedly took as his thesis Quaecumque ab Aristotele dicta essent, commentitia esse, which Walter J. Ong paraphrases as follows: "All the things that Aristotle has said are inconsistent because they are poorly systematized and can be called to mind only by the use of arbitrary mnemonic devices." According to Ong this kind of spectacular thesis was in fact routine at the time. Even so, Ong raises questions as to whether Ramus actually ever delivered this thesis. Early academic career: Ramus, as graduate of the university, started courses of lectures. At this period he was enga-ged in numerous separate controversies. One opponent in 1543 was the Benedictine Joachim Perion. He was accused, by Jacques Charpentier, professor of medicine, of undermining the fo-undations of philosophy and religion. Arnaud d'Ossat, a pupil and friend of Ramus, defended him against Charpentier. Ramus was made to debate Goveanus (Antonio de Gouveia), over two days. The matter was brought before the parlement of Paris, and finally before Francis I. By him it was referred to a commission of five, who found Ramus guilty of having "acted rashly, arrogantly and impudently," and interdicted his lectures (1544).
"About this title" may belong to another edition of this title.
