General Mathematics, Book 1

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Page 212 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Page 290 - 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 401 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 302 - The specific gravity of road oils, road tars, asphalt cements and soft tar pitches shall be expressed as the ratio of the weight of a given volume of the material at 25 C.
Page 322 - ... cofunctions. Trigonometric ratios are suggested even in the Ahmes Papyrus (c. 1700 BC), which, as has been stated, may itself be a copy of some other collection written before the time of Moses. In dealing with pyramids Ahmes makes use of one ratio that may possibly correspond roughly to our cosine or tangent. The first to make any noteworthy progress in the development of trigonometry was Hipparchus, a Greek, who lived about 150 BC He studied at Alexandria, and later retired to the island of...
Page 152 - If two angles of one triangle are equal respectively to two angles of another triangle, the third angles are equal.
Page 315 - From the top of a hill the angles of depression of two successive milestones, on a straight level road leading to the hill, are observed to be 5 and 15.
Page 304 - Two parallelograms having equal altitudes are to each other as their bases. 2. Two parallelograms having equal bases are to each other as their altitudes.
Page 130 - If two parallel lines are cut by a transversal, the interior angles on the same side of the transversal are supplementary.
Page 360 - taking mathematicians from the beginning of the world to the time when Newton lived, what he had done was much the better half.

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