First-year Mathematics for Secondary Schools

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University of Chicago Press, 1909 - Mathematics - 365 pages
 

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Page 136 - If the product of two numbers -is equal to the product of two other numbers, either pair may be made the means, and the other pair the extremes, of a proportion.
Page 115 - A line parallel to one side of a triangle divides the other two sides proportionally.
Page 63 - From 1 to 2 From 2 to 3 From 3 to 4 From 4 to 5 From 5 to 6...
Page 180 - To divide a polynomial by a monomial, divide each term of the polynomial by the monomial: (Sab — 12ac) -i- 4a = 36 — 3c.
Page 262 - Multiplying or dividing both terms of a fraction by the same number does not alter the value of the fraction.
Page 335 - Thus from the fact that two triangles are congruent if the three sides of one triangle are equal respectively to the...
Page 327 - This formula already proves, that if two angles of one triangle are equal to two angles of another, the third angle of the former must also be equal to the third of the latter ; and this granted, it is easy to arrive at the theorem we have in view.
Page 262 - Dividing the numerator and denominator of a fraction by the same number does not alter the value of the fraction.
Page 346 - A straight line falling on parallel straight lines makes the alternate angles equal to one another, the exterior angle equal to the interior and opposite angle, and the interior angles on the same side equal to two right angles...

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