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... Elements of Plane Geometry According to Euclid - Page 44by Andrew Bell - 1837 - 240 pagesFull view - About this book
| Euclides - 1858 - 248 pages
...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...part, together with the square of the other part. CONS.— 46. L, Pst. 1 and 31. I. DEM.— 43. L, Axs. 2 and 6, De£ 30. L, Cor. 4. II., Ax. 8, and... | |
| War office - 1858 - 578 pages
...a-share, I should have 240Z. left. How many shares did I wish to buy ? Euclid. the -parts are equal to twice the rectangle contained by the whole and...part, together with the square of the other part. 2. Find the centre of a given circle. If two circles touch each other, given the centre of one circle,... | |
| sir Thomas Dyke Acland (11th bart.) - 1858 - 270 pages
...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...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... | |
| Euclides - 1858 - 136 pages
...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 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.... | |
| Elias Loomis - Conic sections - 1858 - 256 pages
...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 pages
...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...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 (1) 6x* + 5x=4>... | |
| Education - 1859 - 414 pages
...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... | |
| Royal college of surgeons of England - 1860 - 332 pages
...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 - Geometry, Plane - 1860 - 380 pages
...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 the squares... | |
| Euclides - 1860 - 288 pages
...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 prove... | |
| |