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).
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abides according adds alſo appears aſſumed baſe beauty becauſe becomes body called caſe cauſe centre circle coincide common compoſed concerning connected conſequent conſidered conſtruction contains converted demonſtration deſcribed deſire divided divine effects Elements energy entirely equal eſſence eternity evident excellent exhibited exiſtence extremity fall fame fides figure firſt foul given gods greater Hence himſelf impoſſible infinite intellect intelligible internal itſelf kind leſs light likewiſe manner matter means moſt moved multitude muſt nature neceſſary object obſerve parallel parallelogram participates particular perceive perfect philoſopher Plotinus Porphyry poſſeſſes preſent principle prior problem proceeds produced proper PROPOSITION reaſon receive remaining requires requiſite reſpect right angle right line ſame ſays ſeparate ſhall ſhould ſides ſimilar ſince ſome ſomething ſoul ſubject ſubſiſtence ſuch ſuperior themſelves theorem theſe things thoſe triangle true truth unequal unity univerſal whole
Seite 6 - Let it be granted that a straight line may be drawn from any one point to any other point.
Seite 11 - 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.
Seite 292 - 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.
Seite 294 - 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.
Seite 11 - 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.
Seite 278 - Capricorn is fouthern, and accomodated to afcent : and, indeed, the GATES of the cave, which look to the North, are with great propriety...
Seite 283 - 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...
Seite 291 - 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.
Seite 277 - ... 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.
Seite 277 - 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.