| John Playfair - 1856 - 318 páginas
...VII. THEOR. If a straight line be divided into two parts, the squares of the whole line, and . ^jgfone **of the parts, are equal to twice the rectangle contained...the whole and that part, together with the square** of the other part. Let the straight line AB be divided into any two parts in the point C ; the squares... | |
| Euclides - 1856
...straight line be divided into any two parts, the squares of the whole line and of one of the parts is **equal to twice the rectangle contained by the whole and that part together with the square** of the other part. Let AB (Fig. 39) be divided into any two parts in the point C, the squares of AB,... | |
| Middle-class education - 1857
...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...the whole, and that part, together with the square** of the other part. 33. Prove the last proposition algebraically also. 34. If a straight line touch... | |
| War office - 1858 - 12 páginas
...? Euclid. 1. 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. VOLUNTARY PORTION. 1. Define the sine and cosine of an angle or arc, and trace the... | |
| Euclides - 1858
...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...the whole and 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.... | |
| Euclides - 1858
...2. 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...the whole and that 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... | |
| sir Thomas Dyke Acland (11th bart.) - 1858
...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...the whole, and that part, together with the square** of the other part. 33. Prove the last proposition algebraically also. 34. If a straight line touch... | |
| Sandhurst roy. military coll - 1859 - 1869 páginas
...straight line. 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...the whole and that part, together with the square** of the other part. Voluntary Portion. 1. Reduce (x+y$x(x+y)\ x(x— y)nx(i— y)q. Solve the equations... | |
| 1859
...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.... | |
| Euclides - 1860
...to the difference between the squares on half the line and the mean distance. If a straight line be **divided into any two parts, the squares on the whole...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... | |
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