LATIN TEST FROM HARVARD IN 1869
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
MATH ENTRANCE EXAM IN HARVARD IN 1869:
1) One metre=39.37 inches. Compute from this datum the value of 4 miles in kilometers
2) 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 bas is 4, what is the logarithm of 64? of 2? of 8? of 1/2?
3) 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.
4) 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?
5) Prove that the perpendicular from the centre of a circle upon a chord bisects the chord and they are subtended by the chord.