# Third-year Mathematics for Secondary Schools

University of Chicago Press, 1917 - Logarithms - 369 pages
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Page 341 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, increased by twice the product of one of these sides and the projection of the other side upon it.
Page 339 - Two triangles are congruent if two sides and the included angle of one are equal respectively to two sides and the included angle of the other.
Page 147 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log
Page 142 - The characteristic of the logarithm of a number greater than 1 is a positive integer or zero, and is one less than the number of digits to the left of the decimal point.
Page 339 - If two parallel lines are cut by a transversal, the corresponding angles are equal.
Page 342 - If two chords intersect in a circle, the product of the segments of one is equal to the product of the segments of the other.
Page 3 - Therefore understand the purpose of such devices as index, footnotes, etc., and use them freely. 5. Do not lose time getting ready for study. Sit down and begin to work at once. Concentrate on your work, ie, put your mind on it and let nothing disturb you.
Page 339 - The line joining the mid-points of two sides of a triangle is parallel to the third side, and equal to half the third side.
Page 77 - A and B together can do a piece of work in 12 days, which B and C together can do in 16 days. After 'A' has been working at it for 5 days and B for 7 days, C finishes it in 13 days.
Page 4 - Take an interest in the subjects taught in school. Read the periodical literature concerning these. Talk to your parents about your school work. Discuss with them points that interest you.