 | Euclides - 1858 - 248 pages
...angle. CONS.— 12. 1., Pst. 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...contained by 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... | |
 | War office - 1858 - 578 pages
...contractor bound to supply ? 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...contained by 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... | |
 | sir Thomas Dyke Acland (11th bart.) - 1858 - 270 pages
...answer. 32. Prove 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...contained by 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... | |
 | Euclides - 1858 - 136 pages
...required the earth's diameter. 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...contained by 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.... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...a square on a given 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...contained by 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... | |
 | Education - 1859 - 414 pages
...of AB the distance CD is the'same. 6. 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 PA. C rectangle contained by the whole and that part, together with the square of the other part, 7.... | |
 | Royal college of surgeons of England - 1860 - 332 pages
...other parallelogram of equal area. 6. If a straight line be divided into any two parts, the squares of the whole line and of one of the parts are equal...contained by the whole and that part, together with the square of the other part. 2 II. ALGEBRA. 1. Given o=4, ó=— 3, e=0, find the value of Ъ 2 (a - i)... | |
 | Euclides - 1860 - 288 pages
...mean 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 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... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...VII. 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 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... | |
 | Woolwich roy. military acad - 1861 - 572 pages
...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 by the whole and that part together with the square of the other part. Enunciate any subsequent proposition of Euclid in which this result is employed.... | |
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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... 
