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64 THE UNIVERSITY OF KENTUCKY.
. both numerical and literal containing one unknown; simultaneous f· LM,
quadratic equations; problems depending upon quadratic equations; Phu
the binomial theorem for positive integral exponents, the formulas for _~
n the nth term and the sum of the terms or arithmetical and geometrical V muc
4 progressions, with applications. ; daci
An additional one-half unit will be allowed for a half year’s work T
in Advanced Algebra, provided the work covers determinants, permu- fom
tations and combinations, complex numbers and theory of equations. 4
2. Plane (}CO?2'LCZ7”]]·—O}lU unit. The usual theorems and construe- idk,
4 tions of good text-books, including the general properties of plane Am
rectilinear figures; the circle and the measurement of angles; similar VG,.)
polygons; areas; regular polygons and measurement of the circle. f
` The solution of numerous original exercises, including loci problems, gi In (
application of line and plane surfaces. Sigh
3. Solid Geom.ctry—Onc·haif unit. The usual theorems and con- ·.4`
_ structions of good text-books, including the relations of planes and — H7 4
lines in space; the properties and measurement of prisms, pyramids, ._ ,7.0,,,
cylinders, and cones; the sphere and the spherical triangle; the solu- j` MCG
tion of numerous original exercises, including loci problems; appli-
cation to the mensuration of surfaces and solids. '1 yolk
4. Trigeaomciry—Onc—7idZf unit. Plane trigonometry should in- 7
clude the definitions and relations of the six trigonometric functions ’ com
as ratios, the theory of logarithms and the use of tables, the proof of r''· and
important formulas and considerable practice in trigonometric trans- s rudi
‘ formations; the solution of right and oblique triangles. Q sucl
Latin. For one—half of the reading specihed below in any author, 5 PTO]
equivalents in Ncpos, Sallust, Ovid, and other Latin authors, 1nay be USO
offered. ln connection with all the readings, there should be constant 2 MX
practice in sight translation and prose composition. 5 abil
The four units that may be eifered in Latin are as follows: i and
1. Graimnczr and Co:np0ail·ion—Onc unit. The inflections; the Q
simpler rules for composition and derivation of words; syntax of ;_ {itc
cases and verbs; structure of sentences in general, with particular ; ICC,
regard to relative and conditional sentences, indirect discourse, and mi
the subjunctive. Translation into Latin of detached sentences and ,
easy continuous prose based upon Caesar and Cicero. Sho
2. Cucsar—Onc uni!. Any four books of the Gallic `War. tm.,
3. ('iwro-—O;:r* uni!. Any six orations from the following list, O1` " tier
equivalents: The four orations against Catiline, Archias, the Maiiiliail "; the