 | James Wood - 1857 - 634 sider
...Theory, for our present purpose: — Ex. 1. If a straight line be divided into any ttvo parts, ike squares of the whole line, and of one of the parts,...part, together with the square of the other part. (EUCLID, Book n. Prop. 7-) Let a and 6 represent the two parts into which the given line is divided;... | |
 | sir Thomas Dyke Acland (11th bart.) - 1858 - 270 sider
...Give reasons for your answer. 32. Prove geometrically that, if a straight line be divided into any two parts, the squares of the whole line and of one...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 sider
...is 154*4 miles ; 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...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.... | |
 | War office - 1858 - 578 sider
...How many sacks was the 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...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 signs and extreme... | |
 | Euclides - 1858 - 248 sider
...square equal to the difference of two given squares. 3. To divide a given line into two parts, such that the squares of the whole line and of one of the parts shall be equal to twice the square of the other part. 4. To divide a given line into two such parts... | |
 | Sandhurst roy. military coll - 1859 - 672 sider
...and between the same parallels are equal to one another. 3. If a straight line be divided into any two parts, the squares of the whole line and of one...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 sider
...that for all positions 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 sider
...one 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...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... | |
 | Euclides - 1860 - 288 sider
...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...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... | |
 | Robert Potts - 1860 - 380 sider
...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...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... | |
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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... 
