 | University of Oxford - Education, Higher - 1863 - 316 pages
...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 contained by...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 pages
...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 pages
...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... | |
 | Euclides - 1864 - 262 pages
...the whole and each of the parts, are together equal to the square on the whole line. Ioint C. conLet the straight line AB be divided into any two parts in the poi: Then the rectangle contained by AB, BC, together with that tained by AH, AC, shall be equal to... | |
 | Queensland. Department of Public Instruction - Education - 1866 - 336 pages
...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. Give Euclid's demonstration of this proposition ; also, prove it algebraically. 6. Describe a square... | |
 | Euclides - 1865 - 402 pages
...straight line be divided into any two parts ; then 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 wifh the square of the other part. (References — Prop. I. 31, 34, 43, 46 ; II. 4. Cor.) Let the straight... | |
 | Robert Potts - 1865 - 528 pages
...is equal to the squares on the two parts, together with twice the reetanglt 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... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...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 straight line AB be divided into any two parts at the point C : the squares on AB, BC shall be equal to twice the rectangle AB, BC, together with... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...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 straight line AB be divided into any two parts at the point C ': the squares on AB, BC shall be equal to twice the rectangle AB, BC, together with... | |
 | Woolwich roy. military acad - 1868 - 426 pages
...11. 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...part, together with the square on the other part. Where does Euclid afterwards use this proposition? 12. To inscribe a square in a given circle. 13.... | |
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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... 
