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1863 Final Examination Questions

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1863 Final Examination Questions

**Institute for Colored Youth. **

The annual private examination of the Senior Class of this Institute 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.

There were five members of the class, viz., Caroline R. LeCount, Rebecca J. Cole, Ellis Yarnall Dingle, James Le Count, Jr., and Joseph Hazzard Rodgers.

The following are the questions in Latin:

1. Translate the following, scan the first three lines in each extract, and give the rules.

Tempus erat, quo prima quies mortalibus aegris

Incipit, et dono divum gratissima serpit.

In somnis, ecce, ante oculos moestissimus Hector,

Visus adesse mihi, largosque effundere fletus;

Raptatus bigis, ut quondam, aterque cruento

Pulvere, perque pedes trajectus lora tumentes.

Hei mihi, qualis erat! quantum mutafus ab illo

Hectore, qui redit exuvias indutas Achilli,

Vel Danaum Phrygios jaculatus puppibus ignes!

Squalentem barbam et concretos sanguine crines,

Vulneraque illa gerens quae circum plurima muros

Accepit patrios.

Also,

Portua ab accessu ventorum immotus, et ingens

Ipse; sed horrificia juxta tonat Aetna ruinis,

Interdumque atram prorumpit ad aethera nubem,

Turbine fumantem piceo, et candente favilla;

Attollitque globos flammaraum, et sidera lambit:

Interdum scopulos avulsaque viscera montis

Erigit eructans, liquefactaque saxa sub auras

Cum gemitu glomerat fundoque exacstuat imo.

2. – Hei mihi, qualis erat! quantum mutarus ab illo Hectore, quie redit exuvias indutus Achilli, Vel Danaum Phryglos jaculatos puppibus ignes!

Parse the above and give the rules. Give the roots of the nouns and verbs. Give the elements of the compound words.

3. Arrange in the English order of construction, the following passage, and give a liberal translation of the same:

Justitiaque dedit gentes fraenare superbas,

Troes te miseri, ventis maria omnia vecti,

Oramus: prohibe infandos a navibus ignes;

Parce pio generi, et propius res adspice nostras.

4. Give the metres, and scan the following three extracts from the Odes of Horace.

Sunt quos curriculo pulverem Olympicum

Collegisse juvat, metaque fervidis.

Dextera sacras jaculatus acres

Terruit urbem.

Ventorumque regat pater

Obstrictis aliis praeter lapyga.

5. Translate the first three stanzas of Horace I. Ode IX.

Vides ut alta stet nive candidum

Soracte, nee jam sustineante onus

Silvae laborantes, geluque

Flumina constiterint acuto?

Dissolve frigus ligna super foco

Large reponens atque benignius

Deprome quadrimum Sabina,

O Thaliarehe, merum diota.

Permitte divis cetera qui simul

Stravere ventos aequore fervido

Deproeliantes, nec cupressi

Nec veteres agitantur orni.

Also the first three stanzas of Ode XII.

Quem virum ant heroa lyra vel acri

Tibia sumis celebrare, Clio!

Quem Deum? Cujus recinet jocose

Nomen imago.

Aut in umbrasis Heliconis oris,

Aut super Pindo gelidove in Ilaemo

Unde vocalem temere insecutae.

Orphea silvae.

Arte materna rapidos morantem

Fluminum lapsus celereque ventos

Blandom et auritas fidibus canoris

Ducere quercus.

6. Parse every word in the following extracts:

O matre pulchra filia pulchrior,

Quem criminosis cunque voles modum.

Debellata, monet Sithoniis non levis Evins,

Cum fas atque nefas exiguo fine libidinum.

The following are the questions in Greek:

1.

[Passage in Greek]

Translate the above literally.

2.

Give a literal translation of the following:

[Passage in Greek]

3.

Translate the following extract:

[Passage in Greek]

4.

Parse – [Passage in Greek]

5.

Parse – [Passage in Greek]

6.

In the sentence – [Passage in Greek], state the peculiarities connected with their use, and give such English derivations from the root as may occur to you.

7.

Point out any peculiar idioms that you may find in [Word in Greek], I., v. 1-10.

8.

Give such various renderings as you can of the following:

[Passage in Greek]

9.

Parse – [Passage in Greek]

10.

Translate – [Passage in Greek]

The questions in Mathematics are as follows:–

GEOMETRY:

1.–Demonstrate the Pythagorean proposition.

2.–State the amount of the three angles of a plane triangle, and prove the proposition.

3.–Find a mean proportional between two given lines, and demonstrate the process.

4.–Find a fourth proportional to three given lines.

5.–Find the value of the chord of 15°.

6.–Determine the base and altitude of an equilateral triangle,that contains an area of 1 2/5 acres.

7.–Prove that a circle contains the greatest area that can be enclosed by any given perimeter.

8.–Show that the intersections of two parallel planes by a third, are straight lines.

9.–Demonstrate the rule for finding the solidity of a sphere.

10.–If a cord of wood were arranged in a cubicle pile, what would be the length of its longest diameter?

PLANE TRIGONOMETRY.

1.–Prove that the sides of any plane triangle are to one another as the tangents of the opposite angle.

2.–Sin. a being given, find Sin. 2a, and Sin. 3a.

3.–What is the value of the sine of 7° 30', in terms of R?

4.–From secant a find tangent 2 a.

5.–Prove that the sum of any two sides of a plane triangle is to their difference, as the tangent of half the sines of the opposite angles is to the tangent of half their difference.

6.–The side a=17, b=19, and angle A =50°, being given, determine the other parts.

7.–In a right angled triangle, one angle is 30°, and the opposite side is 28 rods. What is the area?

8.–The sides of a triangle are 3.8 rods, 19 5/9 yds, and 47 8/11 ft. What is the area?

9.–Two sides and the included angle being given, how do you find the remaining side and angles?

10.–What is the side of a hexagonal field, the area being x.

SPHERICAL TRIGONOMETRY.

1.–The sum of the angles of a spherical triangle is 0 degrees. Required the length of each side.

2.–The sum of the angles of a spherical triangle is indefinitely near to 540°, (or it differs from 540° by a quantity inappreciably small.) What is the sum of the sides?

3.–Prove that the arcs of a great circle between the poles and the circumference of another great circle are quadrants.

4.–Prove that cos. a = cos. b, cos. c + sin. b, sin. c, cos. A.

5.–Given the hypotenuse and one side of a right-angled spherical triangle, find the remaining parts.

The answers are summed up on a scale of ten, that is, *ten* was taken to represent a perfect answer. The number *ten*, therefore, affixed opposite any one's name in any branch, denotes that a perfect result was obtained. In Latin, the following are the averages arranged in the order of merit:

Miss Le Count 9.42; Jas. Le Count, 9.25; Miss Cole, 8.96; J.H. Rodgers, 8.92; E.Y. Dingle, 8.84. In Greek they are, Miss Cole, 9.40; J. Le Count, 9.35; Miss Le Count, 9.30; J.H. Rodgers, 9.05; E.Y. Dingle, 8.75. In Geometry, J. Le Count, 9.06; J.H. Rodgers, 8.89; Dingle, 8.40; Miss Le Count, 8.17; Miss Cole, 6.12. In Trigonometry, Miss Le Count, 8.40; Miss Cole, 8.35; J. Le Count, 7.38; Rodgers, 7.25; Dingle, 6.80.

It is thus seen that the classical averages, arranged in the order of merit as above, are, Miss Le Count, 9.36; J. Le Count, 9.30; Miss Cole, 9.18; J.H. Rodgers, 8.99; E.Y. Dingle, 8.80. The Mathematical averages are, Miss Le Count, 8.29; J. Le Count, 7.94; J.H. Rodgers, 7.80; E.Y. Dingle, 7.34; Miss Cole, 7.24. Hence, the general results obtained by each are as follows: Miss Le Count, 8.83; J. Le Count, 8.62; J.H. Rodgers, 8.40; Miss Cole, 8.21; E.Y. Dingle, 8.07.

The highest mathematical, the highest classical, and the highest general averages, were attained by MISS CAROLINE R. LE COUNT.

In May 1863 the Institute for Colored Youth held their private examinations for the graduating senior class. *The Christian Recorder* published the questions from the Latin, Greek, and Math sections. They also printed the scores of the five graduates, Rebecca Cole, Ellis Y. Dingle, Caroline LeCount, James LeCount, Jr., and Joseph H. Rodgers.