Supervised Study in Mathematics and Science |
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Page 119 - Two triangles are equivalent if they have two sides of the one respectively equal to two sides of the other, and the included angle of the one equal to the supplement of the included angle of the other.
Page 110 - Since the area of a rectangle is the product of the length and width, the area = 12(6) = 72.
Page 54 - INTRODUCTION 1. The basis of algebra is found in arithmetic. Both arithmetic and algebra treat of number, and the student will find in algebra many things that were familiar to him in arithmetic. In fact, there is no clear line of demarcation between arithmetic and algebra. The fundamental principles of each are identical, but in algebra their application is broader than it is in arithmetic. The very attempt to make these principles universal leads to new kinds of number, and while the signs, symbols,...
Page 112 - ... 26. A corollary is an obvious consequence, resulting from one or more propositions. 27. A scholium is a remark appended to a proposition. 28. An hypothesis is a supposition made either...
Page 36 - The fundamental processes of addition, subtraction, multiplication, and division of whole numbers and fractions...
Page i - SCIENCE THE MACMILLAN COMPANY NEW YORK • BOSTON • CHICAGO • DALLAS ATLANTA • SAN FRANCISCO MACMILLAN & CO., LIMITED LONDON • BOMBAY • CALCUTTA MELBOURNE THE MACMILLAN CO. OF CANADA, LTD. TORONTO IN MATHEMATICS AND SCIENCE BY S.
Page 24 - ... numerical values of roots to two decimal places. Simple cases of equations with two or more unknown quantities that can be solved by the methods of simple or quadratic equations 1 One simple equation, one of second degree 2 Two homogeneous equations of the second degree 3 Symmetric equations of the third or fourth degree readily solvable by dividing the variable member of one by the variable member of the other ; eg...
Page 6 - November, 1918. automatons, responding with machine-like accuracy to the whim of the examiner, but to become thinkers, with power and knowledge of how to attack and study out a problem, how to form personal opinions, how to get results, by themselves.
Page 229 - Co.). Lloyd and Bigelow, The Teaching of Biology in the Secondary School (Longmans, Green & Co.).
Page 23 - Reduction to similar fractions. 4. Addition of fractions. 5. Subtraction of fractions. 6. Multiplication of fractions. 7. Division of fractions.