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adopted akin angle appears authority Baehrens believe called certainly circle compared conjecture connected considered construction correct corruption course criticism derived difficulty doubt edition emendation equal evidence existence explained expressed fact fragment geometry given gives Greek hand Hence Hippocrates idea instance Italy Latin latter meaning mentioned mihi mind natural objection observed occurs origin passage perhaps Plautus present probably problem Propertius propose proved quae question Quid quod quoted reading reason referred relation remarks rendered represented respectively rightly Roman root says seems segments sense sides similar square statement suggested supposed surely theory thing tibi tion translation true verse wanted whole word writing written δὲ καὶ μὲν τὸ
Page 249 - So, naturalists observe, a flea Has smaller fleas that on him prey; And- these have smaller still to bite 'em, And so proceed ad infinitum.
Page 440 - Change of motion is proportional to the impressed force and takes place in the direction of the straight line in which the force acts.
Page 146 - I ask, take modification for what you please, can the same unextended, indivisible substance have different, nay, inconsistent and opposite (as these of white and black must be) modifications at the same time ? Or must we suppose distinct parts in an indivisible substance, one for black, another for white, and another for red ideas, and so of the rest of those infinite sensations, which we have in sorts and degrees; all which we can distinctly perceive, and so are distinct ideas, some whereof are...
Page 186 - Prove that the angles in the same segment of a circle are equal to one another.
Page 251 - quia tanti quantum habeas sis.' Quid facias illi ? lubeas miserum esse, libenter Quatenus id facit. Ut quidam memoratur Athenis Sordidus ac dives, populi contemnere voces Sic solitus : ' Populus me sibilat, at mihi plaudo Ipse domi, simul ac nummos contemplor in area.
Page 185 - Produce a given straight line to a point such that the rectangle contained by the whole line thus produced and the part produced shall be equal to the square of the given straight line.
Page 440 - Every body continues in its state of rest, or uniform motion in a straight line, except in so far as it may be compelled by force to change that state.
Page 358 - Ceteris servis non in nostrum morem discriptis per familiam ministeriis utuntur: suam quisque sedem, suos penates regit. frumenti modum dominus aut pecoris aut vestis ut colono iniungit, et servus hactenus paret: cetera domus officia uxor ac liberi exequuntur.
Page 146 - ... ideas, and so of the rest of those infinite sensations, which we have in sorts and degrees; all which we can distinctly perceive, and so are distinct ideas, some whereof are opposite, as heat and cold, which yet a man may feel at the same time ? I was ignorant before, how sensation was performed in us: this they call an explanation of it! Must I say now I understand it better ? If this be to cure one's ignorance, it is a very slight disease, and the charm of two or three insignificant words will...