 | Euclides - 1852 - 48 pages
...extract the square root of the difference. PEOP. XLVIII. THEOH. If the square described upon one side of a triangle be equal to the squares described upon the other two sides, the angle opposite to that side is a right angle. In the triangle ABC, let the square of AC be equal... | |
 | Euclides - Geometry - 1853 - 176 pages
...the sides ba, a С. Therefore, in any rightangled triangle, &c. QED PEOPOSITION XL VIII. — THEOREM. If the square described upon one of the sides of a...angle contained by these two sides is a right angle. IF the square described upon b С, one of the sides of the triangle ab С, be equal to the squares... | |
 | Euclides - 1853 - 146 pages
...upon the sides BA, AC. Therefore, in any right-angled triangle, &c. QED PROP. XLVIII. — THEOREM. If the square described upon one of the sides of a...angle contained by these two sides is a right angle. If the square described upon BC, one of the sides of the triangle ABC, be equal to the squares upon... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...upon the sides BA, AC. Therefore, in any right-angled triangle, etc. QED PROPOSITION XLVIII. THEOR. If the square described upon one of the sides of a...angle contained by these two sides is a right angle. If the square described upon BC, one of the sides of the triangle ABC, be equal to the squares upon... | |
 | Thomas Lund - Geometry - 1854 - 520 pages
...line AB is called 'the square ofAB.' COB. The converse of this proposition is also true, viz. that ' if the square described upon one of the sides of a triangle be equal to the sum of the squares described upon the other two sides of it, the angle between these two sides is a... | |
 | Euclides - 1855 - 270 pages
...if the one leg is the base, the other ¡3 the perpendicular, and conversely. PROP. XLVIII. THEOREM. If the square described upon one of the sides of a...angle contained by these two sides is a right angle. Let the square described upon B С, one of tiie sides of the triangle AB С, be equal to the squares... | |
 | Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...1. Equal triangles on the same base, and on the same side of it, are between the same parallels. 2. If the square described upon one of the sides of a...the other two sides of it, the angle contained by those two sides is a right angle. 3. Divide a straight line into two parts, so that the rectangle contained... | |
 | Robert Potts - 1855 - 1050 pages
...your answers by examples from Euclid. 2. If the square described upon one of the sides ofatriangle, be equal to the squares described upon the other two...angle contained by these two sides is a right angle. 4. The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two... | |
 | John Playfair - Geometry - 1855 - 334 pages
...other; their third sides will also be equal, and the triangles will be identical. PROP. XLVIII. THEOR. If the square described upon one of the sides of a triangle, be equal to tht squares described upon the other ttao sides of it; the angle contained bif these two sides is a... | |
 | Cambridge univ, exam. papers - 1856 - 200 pages
...parallel to two adjacent sides of the other, the angles of the parallelograms will also be equal. 3. If the square, described upon one of the sides of...the other two sides of it, the angle contained by those two sides is a right angle. If the square on the hypothenuse be fire times that on one of the... | |
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If the square described upon one of the sides of a triangle, be equal to the squares described upon the other two sides of it; the angle contained by these two sides is a right angle. 
