| Scotland free church, gen. assembly - 1847
...similar figures. Prove that parallelograms on the same base and between the same parallels are equal. **The square on one side of a triangle is equal to the** squares on the other two sides, what kind of a triangle is it ? Prove your assertion. Prove that equal... | |
| Her MAjesty' Inspectors of schools - 1850
...the same base and between the same parallels ire equal. Define a parallelogram, and similar figures. **The square on one side of a triangle is equal to the** squares on the other two sides, what kind of a triangle is ill Prove jour assertion. Prove that equal... | |
| Great Britain. Committee on Education - 1850
...similar figures. Prove that parallelograms on the same base and between the same parallels arc equal. **The square on one side of a triangle is equal to the** squares on the other two sides, what kind of a triangle is it? Prove your assertion. Prove that equal... | |
| Geometry - 1868
...than DB* + BC*o? than AB* + BC\ COR. 2. Hence it follows that the converse theorem holds, viz. that **if the square on one side of a triangle is equal to the** squares on the other two sides, the triangle is right-angled. COR. 3. It follows that in a triangle... | |
| 1871
...+ x - 1 2 *2 - 4 2x - 1 3 3:2 + 62;+ 8 ' x' - $x + 6 ' & - x - 6 ' by their product 15. Prove that **the square on one side of a triangle is equal to the** 8um of the squares on the other two, increased or diminished by twice the rectangle under one of them,... | |
| Lewis Sergeant - 1873
...AK. Therefore AK and BK, that is, the square on AB, = the squares on AC and CB. Proposition 48. — **Theorem. If the square on one side of a triangle is equal to the** squares on the other sides, the angle contained by these latter sides is a right angle. C If the square... | |
| Nathan Fellowes Dupuis - Geometry - 1889 - 294 pages
...A is a geometric mean between the segments into which the altitude divides the hypothenuse. (169°, **Cor. 3) And any side of the A is a geometric mean...square on one side of a triangle is equal to the sum of** the squares on the remaining sides, the triangle is right-angled at that vertex which is opposite the... | |
| Euclid - Geometry - 1890 - 400 pages
...equilateral. Def. If a polygon has all its angles equal it is said to be equiangular. Proposition 48. **THEOREM — If the square on one side of a triangle is equal , to the sum of** the squares on the other two sides, the angle contained by the latter two sides is a right angle. Let... | |
| 1891
...describe a parallelogram equal to a given triangle and having an angle equal to a given angle. \ 3. **If the square on one side of a triangle is equal to the sum of** the squares on the other two, the latter contain a right angle. 4. If a line be divided into two equal... | |
| 1896
...equal to a given straight line and its angles at the base equal to two given angles. 2. Prove that **if the square on one side of a triangle is equal to the** difference of the squares on the other two, one of the angles adjacent to that side is a right angle.... | |
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