 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.  Reports on Elementary schools - Page 810by Her MAjesty' Inspectors of schools - 1850Full view - About this book
 | James Cornwell - 1878 - 386 pages
...1d. per square foot. 486. //. The square described on the greatest side of a right.angled triangle is equal to the sum of the squares described upon the other two. (Euclid, i. 47.) To FIND ANY SIDE OF A RIGHT.ANGLF.D TRIANGLE — 487. The number representing the... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...AD*)-1BC. BD. But (I. 42) CD* + AD* = AC', and BD* + AD* = AB* ; Corollary. — If the square described on one side of a triangle be equal to the sum of the squares of the other two sides, the angle contained by these sides is a right angle. For if it were obtuse,... | |
 | 1882 - 376 pages
...Examiners- DR. JOHN HOPKINSON, MA, FRS, and BENJAMIN WHXIAMSON, ESQ., MA, FRS 1. If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides, prove that the angle contained by these sides is a right angle. 2. Prove that... | |
 | 1882 - 486 pages
...the axioms which ara assumed in the proof. 8. Prove that if the square described on one of the siles of a triangle be equal to the sum of the squares described on the other two sides of it, the angle contained by these two sides is a right angle. 4. Prove that... | |
 | Euclides - 1883 - 176 pages
...and 75 yds. long, and are at right angles to one another. PROP. 48. THEOR. If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides of it, the angle contained by these two sides is a right angle. Given A ABC... | |
 | Evan Wilhelm Evans - Geometry - 1884 - 170 pages
...equilateral. An equilateral triangle is always isosceles. A scalene triangle has no two sides equal. Can one side of a triangle be equal to the sum of the other two ? Can it be greater ? Thus, the triangle ABC is scalene. 4. Any side of a triangle may be... | |
 | 1885 - 696 pages
...Demonstrate. 9. Demonstrate that the square described upon the hypothenuse of a right-angled triangle, is equal to the sum of the squares described upon the other two sides. 10. Demonstrate that an inscribed angle is measured by half the arc included between its sides. VIII.... | |
 | Dalhousie University - 1885 - 230 pages
...order, the sum of the exterior angles of the polygon is equal to four right angles. 2. If the square of one side of a triangle be equal to the sum of the squares of the other two sides, the angle contained by these shall be a right angle. 3. If a straight line... | |
 | Harvard University. Class of 1865 - 1885 - 206 pages
...candidate had already submitted, 3. Prove that the square of the hypothenuse of a right triangle is equal to the sum of the squares described upon the other two sides, and tell how this proportion received the name of the " pons asinorum." 4. Why is not the convex surface... | |
 | Illinois State Board of Health - Public health - 1885 - 692 pages
...Demonstrate. 9. Demonstrate that the square described upon the hypothenuse of a right-angled triangle, is equal to the sum of the squares described upon the other two sides. 10. Demonstrate that an inscribed angle is measured by halt the are included between its sides. VIII.... | |
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