 | Joseph Hughes - 1883 - 568 sider
...DA = BA or BC = twice BA. QED В 3. 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. See Prop. 47, Bk. I. Algebra. I. Simplify (a - 2/>) (2«... | |
 | Euclides - 1884 - 214 sider
...angles. PROPOSITION XLVII. 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. In the triangle ABC ; GIVEN that BAC is a right angle ; IT is REQUIRED TO PROVE that the square on... | |
 | Woolwich roy. military acad - 1884 - 148 sider
...equal D is the middle point of AB. 3. 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. If the squares on the first and third sides of a quadrilateral are together equal to those on the second... | |
 | Stewart W. and co - 1884 - 272 sider
...any right-angled triangle, the square on the side subtending the right angle is equal to the squares on the sides which contain the right angle. Let ABC be a right-angled triangle having <!he right angle BAC. On BC describe the square BDEC, and on BA, AC, the squares GB, HC ; through A... | |
 | Euclides - 1884 - 182 sider
...1O3. PROPOSITION XLVII. — THEOREM. 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. Let ABC be a right-angled triangle, having BAC the right... | |
 | Oxford univ, local exams - 1885 - 358 sider
...a circle about a given triangle. 6. 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. 7. Divide a given straight line into two parts, so that the rectangle contained by the whole and one... | |
 | 1885 - 580 sider
...than the third side. PROP. XLVII. In any right-angled triangle, the square whith is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. Brewer, in his " Dictionary of Phrase and Fable," says... | |
 | E. J. Brooksmith - 1889 - 356 sider
...angles equal, is a parallelogram. 4. 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. If BC is the hypotenuse of a right-angled triangle ABC, and BE is the square described on BC, and AKon.... | |
 | John Fry Heather - 1890 - 252 sider
...The opposite sides and angles of a parallelogram are equal, and the diagonal bisects it (Euc. 1. 34). angle, is equal to the squares described on the sides which contain the right angle (Euc. I. 47). 68. TSEOR. 13. If the square described upon one of the sides of a triangle be equal to... | |
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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. 
