 | Euclides - 1883 - 176 pages
...contained by this line and the perpendicular between the parallel sides of the trapezium. PROP. 47. THEOR. In any right-angled triangle the square which is described...subtending the right angle is equal to the sum of the squares described on the sides which contain the right angle. Given A ABC having the right angle BAC.... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...parallelogram which has one right angle has all its angles right angles. EUCLID'S ELEMENTS. PROPOSITION 47. THEOREM. In any right-angled triangle, the square...the side subtending the right angle is equal to the squares described on the sides which contain the right angle. Let ABC be a right-angled triangle, haying... | |
 | Joseph Hughes - Education - 1883 - 568 pages
...are the angles which are less than two right angles. Yes. 492 THE PRACTICAL TEACHER. Prop. 21). 3. In any right-angled triangle, the square which is...the side subtending the right angle is equal to the squares described on the sides which contain the right angle. From the middle point of a side of a... | |
 | Woolwich roy. military acad - 1884 - 148 pages
...respectively in D and E: prove that if the triangles BCE, A CB are equal D is the middle point of AB. 3. In any right-angled triangle, the square which is...the side subtending the right angle is equal to the squares described on the sides which contain the right angle. If the squares on the first and third... | |
 | Euclides - 1884 - 214 pages
...angle a right angle, has all its angles right angles. PROPOSITION XLVII. THEOREM. In any right angled triangle, the square which is described on the side subtending the right angle, is equal to the squares described on the sides which contain the right angle. In the triangle ABC ; GIVEN that BAC... | |
 | Stewart W. and co - 1884 - 272 pages
...hypotenuse, or side subtending the right angle, be given instead. From Euclid 47, Book I., the square of the side subtending the right angle is equal to the sum of the squares of the sides containing the right angle. Let ABC be the rightangled triangle, having the right... | |
 | John Robertson (LL.D., of Upton Park sch.) - Examinations - 1884 - 154 pages
...have one of its angles equal to a given rectilineal angle. 5. In any right-angled triangle, the square described on the side subtending the right angle is equal to the two squares described on the sides containing the right angle, 6. Any point p is taken in the line... | |
 | Oxford univ, local exams - 1885 - 358 pages
...their centres shall pass through the point of contact. 5. Describe a circle about a given triangle. 6. In any right-angled triangle, the square which is...the side subtending the right angle is equal to the squares described on the sides which contain the right angle. 7. Divide a given straight line into... | |
 | Canada. Department of the Interior - 1888 - 756 pages
...principle of superposition without using any construction lines. 3. In any right angled triangle the square on the side subtending the right angle is equal to the sum of the squares on the sides containing that angle. 4. Prove the last proposition by showing that the large... | |
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In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the sum of the squares described on the sides which contain the right angle. 
