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1862 Final Examination Questions

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1862 Final Examination Questions

**Institute for Colored Youth.**

*The Christian Recorder*, May 3, 1862

The annual (private) examination of the Senior Class of this Institution took place last week. It was confined to Latin, Greek, and Mathematics, and was conducted in writing, under the direction of Professor PLINY E. CHASE, A.M., of this city. The following are the questions in Latin:

QUESTION 1.

Musa, mihi causes memora, quo mumine laeso.

What different translations can you give of this line?

QUESTION 2.

Ille haec, deposita tandem formidine, fatur:

Cuncta equidem tibi, rex, fuerit quodeumque, fatebor

Vera, inquit; negue me Argolica de gente negabo:

Hoc primum; nec, si miserum fortuna Sinonem

Finxit, vanum etiam mendacemque improba finget.

Scan these lines, giving the rule for the quantity of each syllable.

QUESTION 3.

Explain the proper names and epithets which occur in Virg. Aen. I., v. 441-473. (*These are Poeni, Juno, Sidonia Dido, Aeneas, Eliacas, Atridas, Priamus, Achilles, Achate, Pergama, Graii, Trojana, Phryges, Rhesus, Tydides, Trojae, Xanthum.*

QUESTION 4.

Parse and give the rules for the italicised words in the following lines:

Tum breviter Dido, vultum Jemissa, profatur.

Solvite corde metum, Teueri; secludite curas,

Res dura et regni novitas me talia cogunt

Moliri, et late fines custode tueri.

Auxilio tutos demittam, opibus que juvabo.

His animum arrecti dictis.

QUESTION 5.

Translate the following lines:

Postquam introgessi, et coram data copia fandi,

Maximus Ilioneus placido sic pectore coepit:

O regina, novam cui condere Jupiter urbem,

Justitiaque dedit gentes fracuare superbas,

Troes te miseri, ventis maria omnia vecti,

Oramus: prohibe infandos a navibus ignes;

Parce pio generi, et proprius res adspice nostras.

Non nos aut ferro Libycos populare Penates

Venimus, aut raptas ad littora vertere praedas;

Non ea vis animo, nec tanta superbia victis.

Est locus, Hesperiam Graii cognomine dicunt,

Terra antiqua, potens armis atque ubere glebae;

Enotri coluere viri; nune fama minores

Italiam dixisse, ducis de nomine, gentem.

QUESTION 6.

Arrange in the English order of construction the following lines:

Primus se, Danuam magna comitante caterva,

Androgeus offert nobis, socia agmina eredens

Inscius; atque ultro verbis compellat amicis:

Festinate, viri; nam quaetam sera moratur

Segnities? Alii rapiunt incensa feruntque

Pergama; vos celsis nune primum a uavibus itis!

QUESTION 7.

Parse Dis aliter visum: Virg. Aen. II., v. 428.

QUESTION 8.

Give a liberal translation of the following lines:

Nate dea, (nam te majoribus ire per altum

Auspiciis manifesta fides; sie fata deum rex

Sorititur, volvitque vices; is vertitur ordo;)

Pauca tibi e multis, quo tutior hospita lustres

Aequora, et Ansonio possis considere portu,

Espediam dictis; prohibent nam caetera Parcae

Seire, Helenum farique vetat Saturnia Juno.

QUESTION 9.

Point out the compound words, and their elements, in the following lines:

Linquere tum portus jubeo, et considere transtris.

Certatim socii feriunt mare, et aequora verrunt.

Protenus aerias Phaeacum abscondimus arces,

Littoraque Epiri legimus, portuque subimus

Chaonio, et celsam Buthroti accedimus urbem.

QUESTION 10.

Give the roots of the nouns and verbs in the following lines:

Provehimur pelago vicina Ceraunia juxta.

Unde iter Italiam, cursus que brevissimus undis.

Sol ruit interea, et mentes umbrantur opaci.

Subjoined are the questions in Greek. The first eight are on the Greek Reader; the ninth and tenth are confined to the Greek Testament:

QUESTION 1.

Translate literally the following passage:

[Passage in Greek text]

QUESTION 2.

Translate liberally the following passage:

[Passage in Greek text]

QUESTION 3.

Parse the words [Greek text] in the sentence [Greek text]

QUESTION 4.

Parse [Greek words] in the passage [Greek passage]

QUESTION 5.

Parse [Greek words]

QUESTION 6.

[Greek passage]

Parse the words [Greek words] in the previous passage.

QUESTION 7.

Parse [Greek words] in the sentence [Greek sentence]

QUESTION 8.

Parse [Greek words] in the sentence [Greek sentence]

QUESTION 9.

Point out all the peculiar idiomatic constructions in the following:

[Passage in Greek text]

QUESTION 10.

Translate the following, indicating the different translations that may occur to you for any passage:

[Passage in Greek text]

The questions in Mathematics are twenty in number – ten in Geometry and ten in Trigonometry. In Geometry they are as follows:

Demonstrate the elementary propositions on which the Pythagorean proposition depends.

2. Demonstrate the Pythagorean proposition. If you know any other mode of demonstration than the original one, give it.

3. Find the value, in terms of R, of the chord of 7° 30'.

4. What is the ratio of the perimeter of our inscribed square to the area of a circumscribed regular pentagon?

5. What must be the side of a regular hexagon to contain 10 A., 3 R., 28 r.?

6. The side of a regular inscribed polygon of 30 sides, being 2,091 R., required the side of a regular inscribed polygon of 60 sides.

7. What is the ratio of the surface of an inscribed sphere to that of a circumscribed cylinder, demonstrating your answer?

8. Demonstrate the simplest formula for the entire surface of a cone.

9. Demonstrate the rule for finding the solidity of the frustrum of a pyramid.

10. What is the ratio of the solidity of a sphere to the surface of its circumscribing cube?

PLANE TRIGONOMETRY.

1. Sin. a being given, find tan. 4 a.

2. A side and two adjacent ends being given, find the remaining side.

3. Two sides and the included angle being given, find the remaining side and angle.

4. Two sides and the angle opposite one of them being given, find the remaining side and angle.

5. The three sides of a triangular field are 35 rods, 28.5 rods, and 16.04 rods. Find the area, and demonstrate the process.

SPHERICAL TRIGONOMETRY.

1. Prove that the sum of the side of a spherical triangle is less than the circumference of a great circle.

2. Given, the hypothenuse and one side of a right-angled spherical triangle; find the other side and angle.

3. The angle of a spherical triangle being given, find the side.

4. The sides of a spherical triangle are 78°, 30', 120° 15', and 90°. Find the angle.

5. Two sides and the included angle of a spherical triangle being given, find the other side and angle.

In 1862, in addition to covering the public ceremonies, *The Christian Recorder* also covered the private examinations of the Institute for Colored Youth. On May 3, 1862, they printed questions from the final examinations in Latin, Greek, and Math.