 | Robert Potts - 1865 - 528 pages
...PROPOSITION VII. THEOREM. lf 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 tlie whole and that part, toaetlier with the square on the other part. Let the straight line AB be... | |
 | Euclides - 1865 - 402 pages
...parts, together with twice the rectangle under the parts . n. 4. 4. The squares on the whole line, and on one of the parts, are equal to twice the rectangle under the whole and that part, together with the square on the other part . . . . . n. 7. 5. Four times... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...PROPOSITION 7. 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 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
...POSITION 7. 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 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
...each child go ? 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...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.... | |
 | 1868 - 344 pages
...line be divided into an; two parts, the squares of the whole line and one of the parti are together equal to twice the rectangle contained by the whole and that part, together with the square of the other part. 3. In an obtuse angled triangle, if a perpendicular be drawn from either of the... | |
 | Schools inquiry commission - Education - 1868 - 532 pages
...line be divided into any two parts : then the squares of the whole line and one of the parts shall be equal to twice the rectangle contained by the whole and that part together with the square of the other part. 4. The square of the difference of two numbers is equal to the sum of the squares... | |
 | Edinburgh univ - 1868 - 336 pages
...Prop. 47, BI 5. 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 line and that part, together with the square of the other part. 6. If a straight line touch a circle,... | |
 | Robert Potts - 1868 - 434 pages
...equal to the squares on the two parts, tor/ether with twice the rectangle contain .id 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... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...CD. VII. — If a straight line he divided into any two part*, the squares of the wJwle 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. Let AB be divided into any two parts in C. Then the squares of AB, BC, are equal... | |
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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... 
