The philosophical and mathematical commentaries of Proclus ... on the first book of Euclid's Elements, and his life by Marinus, tr. with a prelim. dissertation on the Platonic doctrine of ideas by T. Taylor. (To which are added, A history of the restoration of the Platonic theology, by the latter Platonists: and a tr. of Proclus's Theological elements by T. Taylor). |
Συχνά εμφανιζόμενοι όροι και φράσεις
abides according affumed alſo angles equal aſſumed baſe beauty becauſe biſected body cafe caufe cauſe compoſed confequent conſtituted conſtruction contains converted dæmon defire demonſtration deſcribed divine effence energy equilateral eſſence eſſentially eſtabliſhed eternity exiſt faid fame fays fides fimilar fince firſt fome foul fubfifts fubtend fuch fuperior gods greater Hence Iamblichus imparticipable impoffible impoſſible infinite inſtitutor intellect intelligible internal angles inveſtigation itſelf laſt leſs likewife manifeſt manner meaſured moſt multitude muſt nature neceſſary obſerved oppoſite parallel parallelogram participates perfect philofopher philoſophy Plato Plotinus poffefs pofterior Porphyry poſition poſſeſſes poſſible preſent prior Proclus produced progreſſion propoſed PROPOSITION reaſon requifite reſpect reſt right angles right line ſame ſays ſcience ſecond ſecondary ſenſe ſenſible ſeparate ſhall ſhewn ſhews ſhould ſide ſimple ſince ſituated ſome ſomething ſoul ſpace ſpirit ſubject ſubſiſt ſuch ſuppoſe theſe things thoſe triangle Ulyffes unity univerſe whole whoſe
Δημοφιλή αποσπάσματα
Σελίδα 6 - Let it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα 12 - If equals be taken from equals, the remainders are equal. IV. If equals be added to unequals, the wholes are unequal. V. If equals be taken from unequals, the remainders are unequal. VI. Things which are double of the same, are equal to one another.
Σελίδα 288 - The front appear'd with radiant splendours gay, Bright as the lamp of night, or orb of day, The walls were massy brass : the cornice high Blue metals crown'd in colours of the sky ; Rich plates of gold the folding doors incase ; The pillars silver, on a brazen base ; Silver the lintels deep-projecting o'er, And gold the ringlets that command the door.
Σελίδα 290 - And hateful he who breathes a foreign air. These did the ruler of the deep ordain To build proud navies, and command the main ; On canvas wings to cut the watery way ; No bird so light, no thought so swift as they.
Σελίδα 12 - THINGS which are equal to the same thing are equal to one another. II. If equals be added to equals, the wholes are equal. III. If equals be taken from equals, the remainders are equal.
Σελίδα 274 - Capricorn is fouthern, and accomodated to afcent : and, indeed, the GATES of the cave, which look to the North, are with great propriety...
Σελίδα 279 - Two urns by Jove's high throne have ever flood, The fource of evil one, and one of good ; From thence the cup of mortal man he fills...
Σελίδα 287 - The Pleiads, Hyads, with the northern team; And great Orion's more refulgent beam; To which, around the axle of the sky, The Bear, revolving, points his golden eye, Still shines exalted on th' ethereal plain, Nor bathes his blazing forehead in the main.
Σελίδα 273 - ... to human life. From the confine, therefore, in which the zodiac and galaxy touch each other, the soul, descending from a round figure, which is the only divine form, is produced into a cone by its defluxion.
Σελίδα 273 - Hence he asserts, that the nutriment of milk is first offered to infants, because their first motion commences from the galaxy, when they begin to fall into terrene bodies. On this account, since those who are about to descend are yet in Cancer, and have not left the milky way, they rank in the order of the gods.