 | Royal college of surgeons of England - 1860 - 332 pages
...parts, the squares on 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 on the other part. 7. If ABC be a triangle, and AD, BE, be drawn perpendicular to BC, AC, and intersect in F, the rectangle... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...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 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... | |
 | Euclides - 1860 - 288 pages
...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 on the other part. Given the straight line AB, divided into any two parts in the point C ; to prove that the squares on... | |
 | War office - 1861 - 714 pages
...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 on the other part. 4. When are circles said to touch one another ? One circle cannot touch another in more points than... | |
 | Euclides - 1862 - 140 pages
...the squares on the wlutle line) and on one of the parts, are equal to twice the rectangle contained by the whole and that 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... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...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 on the other part. 9. If two triangles have two sides of the one equal to two sides of the other, each to each, and have... | |
 | Euclides - 1864 - 448 pages
...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 on the other part. Let the straight line AB be divided into any two parts in the point C. Then the squares on AB, BC shall... | |
 | Queensland. Department of Public Instruction - Education - 1866 - 336 pages
...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 on the other part. Give Euclid's demonstration of this proposition ; also, prove it algebraically. 6. Describe a square... | |
 | Euclides - 1865 - 402 pages
...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 the rectangle under the whole line, and one of the parts, together with... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...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 on the other part. Let the straight line AB be divided into any two parts at the point C ': the squares on AB, BC shall... | |
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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 on the other part. Let the straight line AB be divided... 
