First-year Mathematics for Secondary Schools

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University of Chicago Press, 1909 - Mathematics - 365 pages
 

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Page 132 - 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 61 - From 1 to 2 From 2 to 3 From 3 to 4 From 4 to 5 From 5 to 6...
Page 111 - A line parallel to one side of a triangle divides the other two sides proportionally.
Page 176 - To divide a polynomial by a monomial, divide each term of the polynomial by the monomial: (Sab — 12ac) -i- 4a = 36 — 3c.
Page 139 - AC, prove that the sum of the interior angles of a triangle is two right angles.
Page 198 - If two sides and the included angle of one triangle be equal to two sides and the included angle of another triangle, the triangles are equal in all respects.
Page 338 - Conversely, if two angles of a triangle are equal, the sides opposite them are also equal, and the triangle is isosceles.
Page 256 - Dividing the numerator and denominator of a fraction by the same number does not alter the value of the fraction.
Page 342 - 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...
Page 218 - At what time between 3 and 4 o'clock are the hands of a watch opposite to each other ? Let x = the number of minute-spaces passed over by the minutehand from 3 o'clock to the required time.

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