 | Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...angle. 48. If the square described on one of the sides of a triangle be equal to the squares described on the other two sides, the angle contained by these two sides is a right angle. BOOK II. 1. If there be two straight lines, one of which is divided into any number... | |
 | Queensland. Department of Public Instruction - Education - 1892 - 508 pages
...deal with the identical equality of triangles ? Briefly enunciate them. 20 3. If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides, then the angle contained by these two sides shall be a right angle.... | |
 | Euclid - Geometry - 1892 - 460 pages
...Equal squares stand ulion equal straight lines. v PROPOSITION 48. THEOREM. If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides, tlien the angle contained by these two sides shall be a right angle.... | |
 | Great Britain. Education Department. Department of Science and Art - 1894 - 894 pages
...complements are together equal to the larger of the two parallelograms about the diagonal. (12.) 11. If the square on one side of a triangle be equal to the sum of the squares on the other two sides, show that the angle contained by these two sides is a right angle. Show how... | |
 | Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...the quadrilaterals GFED, GCAD, BCIIL, LKAB are equal to one another. PROPOSITION 48. If the square an one side of a triangle be equal to the sum of the squares on the other sides, the angle contained by these two sides is a right angle. Let the square on BC,... | |
 | 1899 - 972 pages
...difference of two lines is less than the sum of the squares on them by twice the rectangle under them. 3. If the square on one side of a triangle be equal to...the sum of the squares on the other two sides, the triangle is right angled. Prove this. 4. Prove that in any paralblogram either diagonal divides it... | |
 | Education - 1899 - 824 pages
...the triangles POJt, QOS are equal in area, prove that PS is parallel toBQ. 4. If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides, the angle contained by these sides is a right angle. Hence show that... | |
 | Manitoba. Department of Education - Education - 1900 - 558 pages
...parallelogram and by the two other parallel sides, are equal. 8. Define a square. If the square described on one side of a triangle be equal to the sum of the squares on the other two sides, prove that the triangle is right-angled. ABC, DEC are two right-angled triangles... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...corresponding numbers) so as exactly to fill up the square DC. PROPOSITION 48. THEOREM. If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides, then the angle contained by these two sides shall be a right angle.... | |
 | Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...height of the other, prove, by Euclid's methods, that one of the triangles is double the other. 3. If the square on one side of a triangle be equal to the squares on the other two sides together, prove that these sides include a right angle. 4. If a straight... | |
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If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides, the angle contained by these two sides is a right angle. 
