The Philosophy of Roger Bacon

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at two points, let them be fixed original: "subfofiant," likely a variant of "suffigantur" in plane bodies, from which points two lines may go out in two directions, and where a third line upon those same points makes right angles. According to the 4th proposition of Euclid’s Elements Euclid, Book 1, Prop 4 deals with the congruence of triangles, here used to establish the uniqueness of a line, this will be a single line. And thus, according to this, it is one line above and one within a single body. At first, it would seem that because of an impediment, a single line coming from a third body could not fall into one
possible

of those points, because two lines can be drawn to them and exit from them, provided they do not interfere with each other. For it is possible for a single line to be led from one point of a third body to a point in another body. And to its own points of the letter because two points that are distinct original: "propria" have the same character original: "idioma" as a single point, and are equal to their own common division. Therefore, it cannot be hindered, since another line can make right angles with those lines exiting from other points.

Theodosius’s Sphaerica

Compendium of Natural Philosophy

Nevertheless, it will not be a single line according to unity in every mathematical sense original: "idaeo mathematica". This was explained above in the first part, according to the opposition of philosophy. And according to the 10th way, it is assumed; however, the eleventh book of the Elements and the first book of Theodosius Theodosius of Bithynia, author of a famous work on the geometry of the sphere are also applied. Regarding these matters, I refer the reader of these natural things to those things which are natural to him concerning the geometer. Although authors say that through the "natural contiguity" of the philosophers, one is drawn into "mathematical continuation." This requires a very diligent explanation, which we all thoroughly desire. Therefore, there are places in geometrical matters—to use a word—
Geometry from here

plainly. Secondly, all those who were—and many still are—held a great error based on the words of authors like Euclid and other credited geometers. They believed that one line and one point proceed into one body—I speak mathematically, though not naturally—and that this is the same according to the location of the container and the thing contained within the body of the world. I speak mathematically because he argues through philosophy that the extremities of the container or the contained are one.
But now, concerning this touch, there is a point in natural bodies. Well, since this
On the bodies of natural things

only requires a treatise from the geometer when it occurs. They solve this world-problem; and there it is that the natural philosophers proceed, for I speak as a naturalist: there are multiple lines and multiple points, and between them, through the locations of their own bodies, it is given that—speaking mathematically—it is somewhere through the words of the geometers where the thing must be returned to its essence original: "enticie," likely referring to the essential nature of the object.
Therefore, all things must be said, because many bodies are theorems in the world; it must be said according to the form that the world does not [lack] proportion and the standing of the body and its indivisible parts.