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 affumed alfo alſo appears bafe baſe beauty becauſe becomes body called caufe cauſe centre circle coincide common comprehend concerning confequent confidered conftruction connected contains converted defire demonftration divided divine effects effence Elements energy entirely equal eternity evident excellent exhibited extremity fall fame fays fhall fhew fides figure fimilar fince firft firſt fome fomething foul fubfifts fuch given gods greater Hence impoffible infinite intellect intelligible internal itſelf kind lefs light likewife manner matter means moſt moved multitude muſt nature neceffary object parallel parallelogram participates particular perceive perfect perpetual philofopher Plotinus poffefs poffible Porphyry prefent principle prior problem proceeds produced proper PROPOSITION reafon receive refpect remaining requifite requires right angles right line ſhould thefe theorem theſe things thofe thoſe triangle true truth unequal unity univerfal whole
Page 6 - Let it be granted that a straight line may be drawn from any one point to any other point.
Page 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.
Page 286 - 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.
Page 288 - 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.
Page 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.
Page 272 - Capricorn is fouthern, and accomodated to afcent : and, indeed, the GATES of the cave, which look to the North, are with great propriety...
Page 277 - 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...
Page 285 - 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.
Page 271 - ... 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.
Page 271 - 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.