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" And conversely, if the square on one side of a triangle is equal to the Bum of the squares on the other two sides, the angle contained by these two sides is a right angle. "
ELEMENTARY SYNTHETIC GEOMETRY OF THE POINT, LINE AND CIRCLE IN THE PLANE - Page 122
by N. F. DUPUIS, M.A., F.R.S.C. - 1894
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Proceedings

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...
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Reports on Elementary schools

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...
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Minutes of the Committee of Council on Education, with Appendices, Volume 2

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...
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Elementary Geometry, Volume 1

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...
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Dublin examination papers

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,...
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Elementary mathematics, embracing arithmetic, geometry and algebra

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...
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Elementary Synthetic Geometry of the Point, Line and Circle in the Plane

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...
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

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...
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Examinations Papers

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...
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Examinations Papers

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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