| Edward Mann Langley, W. Seys Phillips - 1890 - 538 sider
...rectilineal angle. PROPOSITION 47. THEOREM. In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the squares described on the sides containing the right angle. Let ABC be a rt. -angled A, having the rt. L BAC : the sq. described on... | |
| Rupert Deakin - 1891 - 102 sider
...square on a given straight line. 47. In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the squares described on the sides containing the right angle. 48. If the square described on one of the sides of a triangle be equal... | |
| John Alexander Stewart - 1892 - 496 sider
...47, he has got certain тр/ушка, by means of which he can show that the square described upon the side subtending the right angle is equal to the squares described upon the sides which contain the right angle. The фрам/ю; likewise reaches a point at which he... | |
| Perry Fairfax Nursey - 1832 - 512 sider
...famous proposition of Pythagoras, that "In any right-angled triangle, the square which is described upon the side, subtending the right angle, is equal to the squares described upon the sides which contain the right angle." A no less important proposition is, that " if the hypothenuse... | |
| John Humphrey Spanton - 1895 - 608 sider
...Book, Prob. 47— In any right-nn;/led triangle, the square which is described on the side opposite the right angle is equal to the squares described on the sides which contain the Q right angle ; eg — The square described on AB is equal to the sum of the squares described on AC... | |
| Alfred John Pearce - 1897 - 202 sider
...cone is a solid formed by the revolution of a right-angled triangle round one of the sides containing the right angle. Let ABC be a right-angled triangle, having the right angle at B, and let it revolve round AB. Then AC will trace out a conical surface. And BC will trace out... | |
| Seymour Eaton - 1899 - 362 sider
...straight line AB. PBOPOSITION 47. THEOREM In any right-angled triangle the square which is described on the side subtending the right angle is equal to the...right-angled triangle, having the right angle BAC; then the square described on the side BC shall be equal to the squares described on the sides BA and... | |
| Macmillan & Co - 1901 - 802 sider
...EUCLID'S ELEMENTS. PROPOSITION 47. THEOREM, In any right-angled triangle the square which is described on the side subtending the right angle is equal to the...described on the sides which contain the right angle. Let ABO be a right-angled triangle, having the right angle BAG; the square described on the side BC shall... | |
| Joseph Gregory Horner - 1909 - 560 sider
...double of the triangle. (Prop. 41.) In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the...described on the sides which contain the right angle. (Prop. 47.) The two rules for finding the area of a triangle are given under Areas. To find the third... | |
| Albert Gallatin Mackey - 1912 - 508 sider
...Master's Degree, is thus enunciated: "In any rightangled triangle, the square which is described upon the side subtending the right angle is equal to the squares described upon the sides which contain the right angle." Thus, in a triangle whose perpendicular is 3 feet, the... | |
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