 | Sandhurst roy. military coll - 1859 - 672 σελίδες
...3. If a straight line be divided into any two parts the squares of the whole line and of one of the parts are equal to twice the rectangle contained by...the whole and that part, together with the square of the other part. Voluntary Portion. 1. Reduce (x+y$x(x+y)\ x(x— y)nx(i— y)q. Solve the equations... | |
 | 1859 - 414 σελίδες
...into any two parts the squares of the whole line and of one of the parts, are equal to twice the PA. C rectangle contained by the whole and that part, together with the square of the other part, 7. Divide a line into two such parts that their rectangle may be the greatest possible.... | |
 | Robert Potts - 1860 - 380 σελίδες
...If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained...the square on the other part. Let the straight line ABbe divided into any two parts in the point C. Then the squares on AB, BC shall be equal to twice... | |
 | Euclides - 1860 - 288 σελίδες
...If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained...part, together with the square on the other part. Given the straight line AB, divided into any two parts in the point C ; to prove that the squares on... | |
 | Royal college of surgeons of England - 1860 - 332 σελίδες
...6. If a straight line be divided into any two parts, the squares of the whole line and of one of the parts are equal to twice the rectangle contained by...the whole and that part, together with the square of the other part. 2 II. ALGEBRA. 1. Given o=4, ó=— 3, e=0, find the value of Ъ 2 (a - i) + 3 a... | |
 | War office - 1861 - 714 σελίδες
...3. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle contained by...that part together with the square on the other part. 4. When are circles said to touch one another ? One circle cannot touch another in more points than... | |
 | Woolwich roy. military acad - 1861 - 572 σελίδες
...14. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole and that part together with the square of the other part. Enunciate any subsequent proposition of Euclid in which this result is employed.... | |
 | Euclides - 1862 - 140 σελίδες
...If a straight line be divided into any two parts, the squares on the wlutle line) and on one of the parts, are equal to twice the rectangle contained...part, together with the square on the other part. (References— Prop. I. 31, 34, 43, 46; II. 4, cor.) Hypothesis. — Lst the straight line AB be divided... | |
 | Euclides - 1862 - 172 σελίδες
...with twice the rectangle contained by the parts. (References — Prop. i. 5, 6, 29, 31, 34, 43, 46.) Let the straight line AB be divided into any two parts in C. Then the square of AB shall be equal to the squares of AC, CB, together with twice the rectangle... | |
 | 1863 - 300 σελίδες
...Theorem ; It a straight line be divided into any two parts the squares of the whole line, and one of the parts, are equal to twice the rectangle contained...the whole and that part, together with the square of the other part : Prove this by Euclid's demonstration, and also (if there be time) algebraically.... | |
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If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided... 
