 | Robert Potts - 1860 - 380 σελίδες
...PROPOSITION VII. THEOREM. 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...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
...the mean distance. 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...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
...equal area. 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...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
...candidate ? EUCLID. 1. 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...part, together with the square on the other part. 2. When are circles said to touch one another ? If two circles touch each other externally, the straight... | |
 | Woolwich roy. military acad - 1861 - 572 σελίδες
...gradually decreasing. 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...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.... | |
 | 1863 - 300 σελίδες
...Proposition 7, 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...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.... | |
 | University of Oxford - 1863 - 316 σελίδες
...by the parts. 8. If 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...the whole and that part, together with the square of the other part. 9. If a straight line be bisected and produced to any point, the square of the whole... | |
 | Woolwich roy. military acad - 1864 - 588 σελίδες
...(a+b+c+d)\ 9. 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 pan, together with the square of the other part. Prove that the area of any right-angled triangle is... | |
 | Euclides - 1864 - 448 σελίδες
...is equal to the squares on the two parts, together with ttcive the rectangle contained by the parts. Let the straight line AB be divided into any two parts in C. Then the square on AB shall be equal to the squares on AC, and CB, together with twice the rectangle... | |
 | Queensland. Department of Public Instruction - 1866 - 336 σελίδες
...respectively. 5. Prove that 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...part, together with the square on the other part. Give Euclid's demonstration of this proposition ; also, prove it algebraically. 6. Describe a square... | |
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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... 
