First-year Mathematics for Secondary Schools


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Συχνά εμφανιζόμενοι όροι και φράσεις

Δημοφιλή αποσπάσματα

Σελίδα 152 - In any proportion, the product of the means equals the product of the extremes.
Σελίδα 136 - Then any trinomial, in which two terms are squares (and positive) and the other term is plus or minus twice the product of the square roots of those two terms, is the square of the sum or difference of those two square roots according as the third term is plus or minus. 23. Factor k'+бkl+gl'.
Σελίδα 95 - A person engaged to work a days on these conditions: for each day he worked he was to receive b cents, and for each day he was idle he was to forfeit с cents. At the end of a days he received d cents. How many days was he idle?
Σελίδα 41 - I label the two new points e and/.' With the help of this figure he then proceeds to the usual proof of the theorem that the area of a parallelogram is equal to the product of the base by the altitude, establishing the equality of certain lines and angles and the congruence of the pair of triangles.
Σελίδα 94 - 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.
Σελίδα 36 - Euclid, eg first asserts and proves, that the exterior angle of a triangle is greater than either of the interior opposite angles...
Σελίδα 92 - If 1 pound of lead loses /7 of a pound, and 1 pound of iron loses ^ of a pound when weighed in water, how many pounds of lead and of iron are there in a mass of lead and iron that weighs 159 pounds in air and 143 pounds in water ? 78.
Σελίδα 113 - Then divide the first term of the remainder by the first term of the divisor...
Σελίδα 177 - I. The logarithm of a product equals the sum of the logarithms of the factors.
Σελίδα 93 - Two-thirds of a man's property is invested at 5 per cent, ¿ at 4 per cent, and the remainder at 6 per cent. If the total income is $450, what is the value of the property ? ^ 23. The distance from A to В is 100 miles. A train leaving A at a certain rate meets with an accident 20 miles from B, reducing its speed one-half, and causing it to reach B an hour late. What was its regular rate per hour ? *i 24.

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