| Education - 1882 - 676 pages
...I. The converse of this proposition is, that in every right-angled triangle the square described on the side subtending the right angle is equal to the squares described on the sides containing the right angle. Algebra. =*« 46л + 1 + 6.Г3 + 2.r» 2. Let A and В denote... | |
| Education Ministry of - 1882 - 292 pages
...sides of a triangle is parallel to the base. 3. 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 the right angle. SECTION IV. 1. If a straight line be divided into two equal... | |
| Education - 1883 - 654 pages
...any right-angled triangle, the square which is described upon the tide subtending the right ancle, is equal to the squares described upon the sides which contain the right angle. See Prop. 47, Bk. I. Algebra. t. Simplify (a-zl) (îa-t) + 30 (<z - ¿) - (га -2¿)' + :íf — (la... | |
| Joseph Hughes - Education - 1883 - 568 pages
...THE PRACTICAL TEACHER. Prop. 21). 3. 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 which contain the right angle. From the middle point of a side of a right-angled triangle,... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...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 squares described on the sides which contain the right angle. Let ABC be a right-angled triangle, haying the right angle... | |
| Euclides - 1884 - 182 pages
...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...angle. Let ABC be a right-angled triangle, having BAC the right angle. Then the square described upon the side BC shall be equal to the squares described... | |
| Stewart W. and co - 1884 - 272 pages
...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... | |
| Woolwich roy. military acad - 1884 - 148 pages
...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 squares described on the sides which contain the right angle. If the squares on the first and third sides of a quadrilateral... | |
| Euclides - 1884 - 214 pages
...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 squares described on the sides which contain the right angle. In the triangle ABC ; GIVEN that BAC is a right angle ;... | |
| Questions and answers - 1885 - 580 pages
...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...described upon the sides which contain the right angle. Brewer, in his " Dictionary of Phrase and Fable," says : " The Fifth Proposition of Book I, of Euclid,... | |
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