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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Αποτελέσματα 1 - 5 από τα 94.
Σελίδα 1
... common , therefore , as well to axioms as to petitions , to require no demonstration , and no geome- * In the two preceding books of this work our author has difplayed an uncommon degree of philofophic elegance and depth ; and in the ...
... common , therefore , as well to axioms as to petitions , to require no demonstration , and no geome- * In the two preceding books of this work our author has difplayed an uncommon degree of philofophic elegance and depth ; and in the ...
Σελίδα 2
... common ; but it is difficult to investigate caufes , for thefe are occult and rare . In short , a general and confufed apprehenfion of a fience may be readily obtained , without much labour and toil ; but a particular and accurate ...
... common ; but it is difficult to investigate caufes , for thefe are occult and rare . In short , a general and confufed apprehenfion of a fience may be readily obtained , without much labour and toil ; but a particular and accurate ...
Σελίδα 3
... common fection to the centre of the circles , and a right line from one centre to the other , I fhall have an equilateral triangle . The production of these , therefore , is very remote from a simple apprehenfion , and primary notion ...
... common fection to the centre of the circles , and a right line from one centre to the other , I fhall have an equilateral triangle . The production of these , therefore , is very remote from a simple apprehenfion , and primary notion ...
Σελίδα 4
... common conception , which not only the arith- metician employs , but every one endued with science , accommodating that which is common to his own particular matter . But Aristotle ( as we have before obferved * ) fays , that petition ...
... common conception , which not only the arith- metician employs , but every one endued with science , accommodating that which is common to his own particular matter . But Aristotle ( as we have before obferved * ) fays , that petition ...
Σελίδα 5
... common to both : for that which fays , every number is measured by unity , is an arithmetical axiom . But that : which fays equal right lines agree amongst themselves , as also this which affirms that every magnitude is divifible in ...
... common to both : for that which fays , every number is measured by unity , is an arithmetical axiom . But that : which fays equal right lines agree amongst themselves , as also this which affirms that every magnitude is divifible in ...
Συχνά εμφανιζόμενοι όροι και φράσεις
abides according affert affumed alfo alſo angles equal bafe baſe beauty becauſe Befides bifected body cafe caufe cauſe compofed confequent conftituted conftruction contains converted dæmon defcribed defire demonftration divine effence effentially energy eternity exifting faid fame manner fays fcience fecondary feparated fhall fhew fhewn fides fimilar fimple fince firft firſt fituated fome fomething foul fpirit fubfifts fubject fubtend fuch fufficient fuperior gods greater Hence himſelf Iamblichus ifofceles imparticipable impoffible infinite inftitutor intellect intelligible internal angles inveſtigation itſelf laſt lefs leſs likewife manifeft meaſure moſt multitude muſt nature neceffary obferved oppofite parallelogram participates perfect philofopher Plato Plotinus poffefs poffible pofterior Porphyry prefent prefent theorem prior Proclus produced progreffion propofed PROPOSITION reafon refide refpect requifite right angles right line ſay ſeparate ſhall ſhould ſpace ſubſiſt ſuch thefe themſelves theorem theſe things thofe thoſe triangle Ulyffes underſtand unity univerfal whole
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 294 - 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 296 - 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 280 - Capricorn is fouthern, and accomodated to afcent : and, indeed, the GATES of the cave, which look to the North, are with great propriety...
Σελίδα 285 - 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 293 - 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 279 - ... 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 279 - 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.