 | Euclides - 1858 - 136 pàgines
...PROP. VII. THEOR. If a st. 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...that part, together with the square of the other part CON. 46. I, Pst. 1. 31. I, DEM. 43. I, Ax. 2. 6, Def. 30. I, Cor. 4. II, Ax. H. 34. I. EXP. Соя.... | |
 | Euclides - 1858 - 248 pàgines
...DEM. — 7- II. If a at. 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...part, together with the square of the other part. Ax. 2, 47. I. 16. I. If one side of a triangle be produced, the ext. angle is greater than either of... | |
 | sir Thomas Dyke Acland (11th bart.) - 1858 - 270 pàgines
...geometrically that, 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...part, together with the square of the other part. 33. Prove the last proposition algebraically also. 34. If a straight line touch a circle, the straight... | |
 | Elias Loomis - 1858 - 256 pàgines
...equivalent to the squares of the two parts, together with twice the rectangle contained by the parts. Let the straight line AB be divided into any two parts in C ; the square on AB is equivalent to the squares on AC CB, together with twice the rectangle contained... | |
 | Sandhurst roy. military coll - 1859 - 672 pàgines
...another. 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...part, together with the square of the other part. 4. If a straight line touches a circle, and from the point of contact a straight line be drawn cutting... | |
 | 1859 - 414 pàgines
...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. 8. The opposite... | |
 | Euclides - 1860 - 288 pàgines
...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 contained...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... | |
 | Royal college of surgeons of England - 1860 - 332 pàgines
...another. 6. If a straight line be divided into any two 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... | |
 | Robert Potts - 1860 - 380 pàgines
...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 contained...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... | |
 | Woolwich roy. military acad - 1861 - 572 pàgines
...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 contained...that part together with the square of the other part. Enunciate any subsequent proposition of Euclid in which this result is employed. 16. If four straight... | |
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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... 
