| Euclides - Geometry - 1853 - 178 pages
...in any rightangled triangle, &c. QED PEOPOSITION XL VIII. — THEOREM. If the square described upon one of the sides of a triangle be equal to the squares...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
...Therefore, in any right-angled triangle, &c. QED PROP. XLVIII. — THEOREM. If the square described upon one of the sides of a triangle, be equal to the squares...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 - 522 pages
...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 right angle.' Let ABC be a triangle, such that square of AC + square of... | |
| Euclides - 1855 - 262 pages
...the other ¡3 the perpendicular, and conversely. PROP. XLVIII. THEOREM. If the square described upon one of the sides of a triangle, be equal to the squares...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 upon the other two sides, AB... | |
| 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... | |
| Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...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 to the squares...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... | |
| Cambridge univ, exam. papers - 1856 - 200 pages
...of the other, the angles of the parallelograms will also be equal. 3. If the square, described upon one of the sides of a triangle, be equal to the squares...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... | |
| Cambridge univ, exam. papers - 1856 - 252 pages
...parts. What distinction is there between a parallelogram and a rhomboid? 4. If a square described on one of the sides of a triangle be equal to the squares described on the other two sides of it; the angle contained by these two sides is a right angle. 5. If a right... | |
| Euclides - 1856 - 168 pages
...one of the sides of a triangle be equal to the sum of the squares described on the two other sides, the angle contained by these two sides is a right angle. Let ABC (Fig. 37) be a triangle such that the square described on BC is equal to the sum of the squares... | |
| 1857 - 408 pages
...and angles of a parallelogram are equal, and its diagonal bisects it. 4. If the square described upon one of the sides of a triangle be equal to the squares...angle contained by these two sides is a right angle. 5. If a straight line be divided into two equal parts, and also into two unequal parts, the reptangle... | |
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