 | 1867 - 336 pages
...given rectilineal mi 'Jr. Describe a rhombus equal to a given quadrilateral figure. 3. If the square described upon one of the sides of a triangle be equal to the squarea described upon the other two sides of it ; the angle contained by these two sides is ,t right... | |
 | Euclides - 1852 - 152 pages
...the sides BA, AC. Therefore, in any right,angled triangle, &c. QED PROP. XLVIII. THEOR. If the square described upon one of the sides of a triangle, be...to the squares described upon the other two sides ofit; the angle contained by these two sides is a right angle. If the square described upon BC, one... | |
 | 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 - 1853 - 146 pages
...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 triangle, be...the other two sides of it; the angle contained by these two sides is a right angle. If the square described upon BC, one of the sides of the triangle... | |
 | Euclides - Geometry - 1853 - 176 pages
...С. Therefore, in any rightangled triangle, &c. QED PEOPOSITION XL VIII. — THEOREM. If the square described upon one of the sides of a triangle be equal...the, other two sides of it ; the angle contained by these two sides is a right angle. IF the square described upon b С, one of the sides of the triangle... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...BA, AC. Therefore, in any right-angled triangle, etc. QED PROPOSITION XLVIII. THEOR. If the square described upon one of the sides of a triangle be equal...the other two sides of it, the angle contained by these two sides is a right angle. If the square described upon BC, one of the sides of the triangle... | |
 | Thomas Lund - Geometry - 1854 - 520 pages
...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
...is the base, the other ¡3 the perpendicular, and conversely. PROP. XLVIII. THEOREM. If the square described upon one of the sides of a triangle, be...the other two sides of it ; the angle contained by these two sides is a right angle. Let the square described upon B С, one of tiie sides of the triangle... | |
 | Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...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 triangle be equal...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 sides of it; the angle contained by these two sides is a right angle. 4. The opposite angles of any quadrilateral figure inscribed in a... | |
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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. 
