Algebraic factors, how to find ... and ... use them

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Pàgina 58 - To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part.
Pàgina 1 - ALGEBRAIC FACTORS. How TO FIND THEM AND HOW TO USE THEM. By Dr. WT KNIGHT.
Pàgina 62 - Divide 36 into two such parts, that the square of the greater shall exceed the square of the less by 360.
Pàgina 65 - Two men start at the same time to meet each other from towns which are 25 miles apart. One takes 18 minutes longer than the other to walk a mile, and they meet in 5 hours. How fast does each walk ? Let x = the number of minutes it takes the first man to walk a mile.
Pàgina 57 - A cistern has a supply cock, and also a three-way cock which can be used either for supply or discharge at pleasure. When both are used to fill it, it fills in half an hour. When the three-way cock is used to draw off, the other fills it in an hour and a half, notwithstanding the discharge going...
Pàgina 60 - A carpet, in shape a rectangle, has an area of 315 square feet ; if a piece is taken off so as to reduce its width by 3...
Pàgina 3 - As a rule, this branch of the subject is hurried over with but a slight notice, both in books and in the schoolroom. Nothing could be more injudicious, since a true conception of factorial analysis enables the student to traverse, with the greatest ease, branches of Algebra which in other cases prove veritable Sloughs of Despond...
Pàgina 62 - A railway train travels 288 miles at a certain average speed, and, if the speed were 4 miles an hour greater, would perform the journey in an hour less. What is the average speed of the train ? 91.
Pàgina 63 - A number of persons undertake to erect a public building, contributing equally to the cost, which is £5002.
Pàgina 65 - Prove that any trinomial is a complete square, if the square of the middle term is equal to four times the product of the first and last terms.

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