| 1882 - 498 páginas
...base and between the same parallels are equal. 2. In any right-angled triangle the square described on the side subtending the right angle is equal to the squares described on the sides which contain it. 3. In a triangle, if the line bisecting the angles at the base be equal, the triangle is isosceles,... | |
| College of preceptors - 1882 - 528 páginas
...equal to a given rectilineal angle. 8. 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. 9. ABO is a triangle, of which the angle at A is equal to an angle of an... | |
| 1882 - 676 páginas
...two acute angles of the triangle. 2. 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. Algebra. I. Divide xu+yw by л»+Л and x* - i£*y +... | |
| 1882 - 376 páginas
...is ambiguous and when impossible. 3. In a right-angled triangle prove that the square described on the side subtending the right angle is equal to the squares described upon the sides containing the right angle. 4. Prove that the rectangle contained by the sum and difference... | |
| Euclid, Isaac Todhunter - 1883 - 428 páginas
...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...the right angle. Let ABC be a right-angled triangle, haying the right angle BAG: the square described on the side BC shall be equal to the squares described... | |
| Joseph Hughes - 1883 - 568 páginas
...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 páginas
...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 páginas
...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 páginas
...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 páginas
...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... | |
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