THE HIGH SCHOOL AN EDUCATIONAL CENTER 595

and let the given ratio be DE : EB and through the point E aboutthe center B let there be described the arc EZ cutting the spiralin Z and let the join BZ be produced to H, a point of the cir-cumference HAC, then on account of the property of the spiral,DB : BZ, i. e., DB : BE = arc CHA : arc CH, therefore DE:EB == arc AH : arc HQ, therefore the arc is cut in the givenratio."

THE HIGH SCHOOL AN EDUCATIONAL CENTER.It has been commonly supposed that the high school building in

the various cities of the country, is a self-contained institution, andthat it is placed where young people in their "teens" gather to learnsomething about Greek and Latin, mathematics and the sciences, forthe fundamental purpose of developing their memory and reasoningfaculties. However good these things may be in themselves, they arebut a part of the complete education and development of the youngperson.There are studies being taught in the territory of the high school

which, to particular individuals, are just as important as a knowledgeof any subject that they may secure by attempting to follow the pre-scribed course in the school. The school should be an educationalcenter, from which all types of learning may radiate, and in whichsomething may be learned which bears upon all educational phasesof life. All of the pupils’ knowledge and educational life is notsecured in the high school. For instance, many boys may have beenworking in machine shops, at the carpenter’s trade, or in some officeor manufacturing establishment. The girls may have been taught bythe mother in the home with reference to house-work, or they mayhave been operators in telephone exchanges, or have done office work.They, both boys and girls, may have been engaged in many otherlines of activity which might be mentioned. All of these have hadtheir influence on the young mind, and the young people have beeneducated in these directions in a degree proportionate to the amountof time that they may devote to the study included in the regularhigh school course.Having spent more or less time on these subjects outside of school,

which in reality will materially assist in securing their bread andbutter in later life, the pupils should have credit for this work towardtheir graduation from the high school. The day is not far distantwhen all high schools will be obliged to give credit for this outsidework. It is not the continual grind on the inside subjects , that isaltogether educating the boy and girl. The work done outside hasvery much to do with his development educationally; and its valuefrequently is greater to the individual than that which he may get in-side the school. High school instructors should keep this point inmind, and endeavor to bring together all phases of the pupils’ de-velopment so that ea.ch phase will be given its true share of credittoward the. pupils’ graduation from the high school.