Και αν αμφιβάλλετε γι' αυτό, τότε δείτε τις ερωτήσεις για τις εξετάσεις εισαγωγής στο Harvard το 1869 και θα καταλάβετε πως οι θεμελιωτές της αμερικανικής δημοκρατίας στήριξαν την εκπαίδευση τους στην αρχαία Ελλάδα στον υπερθετικό βαθμό.
Reduce the following expression to its simplest form:
(9a2b2- 4b4) (a2- b2) - (3ab - 2b2) (3a [a2 + b2] - 2b [b2 + 3ab - a2])b
A man bought a watch, a chain, and a locket for $216.
The watch and locket together coast three times as much as the chain, and the chain and locket together cost half as much as the watch. What was the price of each?
Prove the formula for the cosine of the sum of two angles; and deduce the formulas for the consine of the double of an angle and the cosine of the half of an angle.
Find the amount of £50 12s. 5d. at simple interest at 8%, at the end of 5 years, 2 months, and 3 days.
Describe the route of the Ten Thousand, or lay it down on a map.
Translate into Latin: Who more illustrious in Greece than Themistocles? who when he had been driven into exile did not do harm to his thankless country, but did the same that Coriolanus had done twenty years before.
Latin grammar: Give the principal parts of cado, cacdo, tono, reperio, curro, pasco, paciscor, marking the quantity of the penult.
Give all the Infinitives and participles of abeo, ulciscor; the Present Indicative of fio; the Future indicative Active and the Present Subjunctive Passive of munio, with the quantity of all penults.
Greek grammar: Give an example of Elision. In what words does the accent of the elided vowel disappear with the vowel?
Compare Athens with Sparta
Pericles: — the Man and his Policy.
One metre=39.37 inches. Compute from this datum the value of 4 miles in kilometers
What is the logarithm of 1 in any system?
Of any number in a system of which that number is the base? In a system of which the base is 4, what is the logarithm of 64? of 2? of 8? of 1/2?
Leonidas, Pausanias, Lysander.
Show how the area of a polygon circumscribed about a circle may be found; then how the area of a circle may be found; then prove that circles are to each other as the squares of their radii.
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