Show It 1 I THE fHE MATHEMATICAL DEPART DEPARTMENT Q p In presenting to our readers the facilities which of are offered by the University for the prosecution of higher work in the sciences and arts it will not be amiss if for a moment we call attention to the the- instruments and models of the mathematical dec dez de de- z c The duty must necessarily be perC performed performed per per- C formed with great brevity in the discharge of which we shall be obliged to confine ourselves to r the mentioning of only the most important instruments instruments instruments ments and models q The work of the mathematical department comprises comprises comprises com com- eighteen full courses which extend through the preparatory course of two years the U University ni i courses of four and the post-graduate post course of one one- or two years No pains have been spared in procuring procuring procuring ing competent and efficient instructors and the collection collection collection col col- lection of models and instruments which are always at the disposal of the student is undoubtedly the largest and best in the Rocky Mountain regions Great credit is due to the professor of mathematics VJ WJ W W. J. J Kerr through whose agency and interest they were obtained With able able active and energetic men as instructors with a fairly good sized and constantly increasing mathematical library with the best mathematical journals and magazines of the day with nothing lacking that may aid the student in his studies there is no reason why the work of the mathematical department of this institution should not compare favorably with the work of that of any other institution On account of the importance of mathematics both as a means of mental discipline and as a necessary basis for further instruction in inthe inthe inthe the mining and other courses the University faculty has given it full and free free- recognition For practical work in surveying astronomy and nd trigonometry students have access to the following instruments by which they may become familiar t with the adjustment care and use of them One transit one engineers engineer's engineers engineer's engi engi- f neer's transit one latest improved solar transit with attachments and all accessories one plane table with telescope and compass used in topography and plotting one wye level one astrolabe which is used in nautical astronomy for determining positions at sea four sextants one artificial artificial artificial cial horizon chains steel tapes leveling rods and all accessories one telescope- telescope with a three-inch three object glass inch 45 focus and six terrestrial and celestial eye eyepieces eyepieces eyepieces pieces with powers ranging from 50 to diameters The models which have all been imported from Germany are various various' and many and an enumeration of all of them would be bewildering in the extreme and intelligible only to mathematicians of higher standing They naturally divide themselves into eight classes I. I Three models of the wire and thread ware illustrating surfaces of higher order one regular surface with two double straights and no real pinch j ii L po points ts consist consisting ng of two congruent mantels intersecting each other along the w r t two o double strai stra straights one regular surface with h double dobl circle i cle and and double biJ straights intersecting at right a angles and upon each each movable curve are are two i real pinch p points ints one movable in in one limiting position a cylinder cylinder der in the other a double cone This model is so arranged that both bases t. t r can be deflected or turned toward one another The surface produced by the the ti sixty-four sixty threads traverses all the positions of the right b. b or oblique rotation- rotation l between the cylinder and the right light or oblique cone and when the f bases are inclined toward one another it makes surfaces of the fourth order with ith a recognizable line of separation The plane which is tangent to the cylinder and ana cone traverses all the positions of the the- hyperbolic loid r. r which is tangent to the along one of the threads The first two tw two models may be seen in in the large cut while a separate one has been procured i d' d for the latter II A complete set of plaster models used in explaining l ning the theorems theorems' of surfaces of the second degree they facilitate a more distinct perception per per- per per- er- er 1 of the opposite position of an ellipsoid of the two species of hyper hyper- that are to it J III A set of Riemann surfaces of the first and s second cond degree degre and ands f s three fold surface with on one retrograde 1 IV V. A set of four wire and thread projection models of the first four regular to dimensional solids V. V A set of seven movable cardboard models models of surfaces of the fir first firstA firsti t. t A and second order older They are so constructed as to illustrate surfaces of different different differ- differ i f ent degrees of curvature i VI A set of plaster models of revolution surfaces of higher order in including lu ing that of trac rix the and conic types Also models illustrating illustrating illustrating illus illus- function theory of transcendental surfaces and constant positive and and functions negative VII VII A A. complete set of f Schroeder projection models used in in r Descriptive Geometry shad shades s shadows and perspective These may be partly s seen een in the large cut cut VIII A A. complete set of wood models illustrating all conic 1 ns nd elementary work in use used mostly in preparatory preparatory's s school ho l Ij t |