 | John Playfair - 1856 - 346 σελίδες
...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 - 168 σελίδες
...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 - 70 σελίδες
...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... | |
 | Euclides - 1858 - 248 σελίδες
...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... | |
 | Euclides - 1858 - 136 σελίδες
...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.... | |
 | War office - 1858 - 578 σελίδες
...? 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... | |
 | sir Thomas Dyke Acland (11th bart.) - 1858 - 270 σελίδες
...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... | |
 | Elias Loomis - 1858 - 256 σελίδες
...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 σελίδες
...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 - 414 σελίδες
...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.... | |
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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... 
