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AD and AE are sums of equals by the supposition. Having that mark of equality, they are concluded by this formula to be equal. SECOND FORMULA.—Equal straight lines or angles, being applied to one another, coincide. AC, AB, are within this formula by supposition; AD, AE, have been brought within it by the preceding step.

On one occasion he writes, "-Quintiforis Clodii foria ac poemata ejus gargaridians dices; O fortuna, O fors fortuna-!" And elsewhere, "-Cum Quintipor Clodius tot comoedias sine ulla fecerit Musa, ego unum libellum non 'edolem' ut ait Ennius?" This not otherwise known Clodius must have been in all probability a wretched imitator of Terence, as those words sarcastically laid at his door "O fortuna, O fors fortuna!" are found occurring in a Terentian comedy.

What a contrast all this to the indefeasible majesty of Charlemagne to his courage and presence of mind, which always rose with the occasion, and, above all, to his promptitude of winning eloquence, that promptum ac praftuens genus sermonis, which caused him to be accounted evi sui eloquentissimus!

From many a crevice in the rock drip down trickling springs, forming a pellucid basin below, whose dark, glossy surface, encircled with trees and shrubs, reflects the image. The design of the monument is by Thorwaldsen, and the whole effect of it has an inexpressible pathos. Above the grotto reads: HELVETIORUM FIDEI AC VIRTUTI

Improba vota domans ac summis ima revolvens Miscet et alterna nostros vice temperat actus. Atque hue atque illuc ventorum turbine fertur. There is a goddess, who, aloft in the empty air, advances girdled about with a cloud, but with a shining white cloak and a glory in her hair, and makes a rushing with her wings.

Exercitatio artem paravit, ars decorem: non in quaestum tamen aut mercedem; quamvis audacis lasciviae pretium est voluptas spectantium. Aleam, quod mirere, sobrii inter seria exercent tanta lucrandi perdendive temeritate, ut, cum omnia defecerunt, extremo ac novissimo jactu de libertate ac de corpore contendant.

The colony of Aquæ Sextiæ was founded by C. Sextius Calvinus B.C. 120, after defeating the Salyes or Saluvii, in whose country it was. The springs of Aix fell off in repute even in ancient times, and they have no great name now; the water is of a moderate temperature. Other modern towns have derived their name from the same word Aquæ, which is probably the same as the Celtic word Ac or Acq.

The piece C of the wave AC, will in a certain space of time advance as far as the plane AB at B, following the straight line CB, which may be supposed to come from the luminous centre, and which in consequence is perpendicular to AC. Now in this same space of time the portion A of the same wave, which has been hindered from communicating its movement beyond the plane AB, or at least partly so, ought to have continued its movement in the matter which is above this plane, and this along a distance equal to CB, making its own partial spherical wave, according to what has been said above.

It was during those long, weary years coupled with the horrible crimes of the Thirty Years' War that the science of International Law began to take form, the result of that notable work, "De Jure Belli ac Pacis," by Grotius. It is ours to see that out of this more intense and thereby even more horrible conflict a new epoch in human and international relations be born.

DCC. Latitudo inter duo promontoria, Hesperium, vulgo C. Verde, et Aromata, quod est juxta fauces Arabici sinus, vulgo nunc Coarda fui, mill. DL. Terra ipsa, nisi qua interno mari accedit, obscure veteribus nota. Vltra autem Nili fontes ac montes Luna prorsus incognita.