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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 years 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.ctryOnchaif 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. TrigeaomciryOnc7idZf 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 onehalf 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:np0ailionOnc 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. CucsarOnc 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