First-year Mathematics for Secondary Schools |
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added algebraic sum altitude arithmetic axiom axle bar is balanced bers called cents cube d₂ denominator denote distance dividend divisor Draw E-W axis equal numbers equiangular polygon exponent exterior angle Find the numbers find the value following equations following expressions fractions given number gives hour hung inches indicated interpret least common multiple left end length Leverages lifting force load logarithm lowest terms mantissa means measure middle point miles minuend minus monomial Multiply both sides n-gon negative numbers number of feet numbers of column pair placed polygon polynomial positive number pulls upward quotient ratio rectangle rods saltpeter Show similar triangles SOLUTION Solve the following square subtraction subtrahend tends to turn triangle turning tendency turning-tendency unit fractions vertex vertical weight whence Whole Numbers Write
Popular passages
Page 152 - In any proportion, the product of the means equals the product of the extremes.
Page 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'.
Page 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?
Page 30 - The area of a triangle is equal to % the product of its base and altitude.
Page 162 - A bar of iron, of uniform thickness, 10 ft. long, and weighing 1 5 cwt., is supported at its extremities in a horizontal position, and carries a weight of 4 cwt. suspended from a point distant 3 ft. from one extremity. Find the pressures on the points of support.
Page 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.
Page 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.
Page 177 - The logarithm of a quotient is the logarithm of the dividend minus the logarithm of the divisor.
Page 36 - Euclid, eg first asserts and proves, that the exterior angle of a triangle is greater than either of the interior opposite angles...
Page 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.