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addition algebra analysis analytic geometry angle applications appointed arithmetic calculus candidate certificate chemistry circle commission completed connection course curve descriptive geometry Determine differential equations direction discussion drawing elementary elements enter equal equations examination exercises faculty Find five force four functions German give given graduates groups Gymnasium higher hours a week institution instruction integral calculus Italy least lectures Leipzig less lessons mathe mathematics mathématiques mechanics methods middle nature normal obtained oral passed pedagogy physics plane position practical preparation present principal problems professional professors projection Prove pupils questions receive reports respect salary scientific secondary schools semester seminary Show side similar solid solution subjects surfaces taken tangent teachers teaching theorem theory third tion triangle trigonometry United usually written
Page 242 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Page 200 - A unit represents a year's study in any subject in a secondary school, constituting approximately a quarter of a full year's work.
Page 243 - Prove that parallelograms on the same base and between the same parallels are equal in area.
Page 231 - If a straight line touch a circle, and from the point of contact a chord be drawn, the angles which this chord makes with the tangent are equal to the angles in the alternate segments.
Page 238 - If two triangles have two sides of the one equal to two sides of the other...
Page 72 - If the work in the classe de math6matiques sp^ciales is so enormously difficult1 that only 2 to 5 per cent of its members can, at the end of one year, meet the standard of requirements of the examinations for which it prepares, why is not the instruction spread over two* Since nearly all the mathematical savants who now shed...
Page 202 - Association (Colorado, Illinois, Indiana, Iowa, Kansas, Michigan, Minnesota, Missouri, Montana, Nebraska, North Dakota, Ohio, Oklahoma, South Dakota, and Wisconsin).
Page 60 - Special Reports on Educational Subjects. The Teaching of Mathematics in the United Kingdom, being a series of papers prepared for the International Commission on the Teaching of Mathematics. Board of Education, London, 1912. Vols. 26, 27. 588+339 pp. Among others these reports contain papers: By WC Fletcher, "The position of mathematics in secondary schools in England"; CS Jackson, "The calculus as a school subject"; W. New bold, "Higher mathematics for the classical sixth form"; AL Dixon, "Mathematical...
Page 45 - II. below (with the requisite organisation, curriculum, teaching staff, and equipment) of a kind and amount suitable for pupils of an age-range at least as wide as from 12 to 17. Provision made for pupils below the age of 12 must be similarly suitable, and in proper relation to the work done in the main portion of the School.