 | John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...? Give an instance of each. 2. 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 contained by these two sides is a right angle. 3. The opposite angles of any quadrilateral... | |
 | Public schools - 1884 - 634 pages
...Given two sides and included angle : Construct a parallelogram. 6. Prove that the square described on the hypothenuse of a right triangle is equivalent to the sum of the squares on the other two sides. 7. Prove that if two triangles have two sides of the one equal respectively... | |
 | William Cain - Algebra - 1884 - 144 pages
...we have OC = xl5 AC=y, ; —X -Y A4E D -tX Then, by the theorem that " the square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides," we have, To ascertain if this formula is general or true, no matter what the... | |
 | W. Cain - 1884 - 156 pages
...we have OC=x,, AC=y, ; =z2, BD=2/2. 4-Y -Y Then, by the theorem that " the square on the hypotenuse of a right triangle is> equivalent to the sum of the squares on the other two sides," we have, - To ascertain if this formula is general or true, no matter what... | |
 | Engineering - 1884 - 616 pages
...have OC=x,, AC=y, ; =*,, BD=y,. -X -Y D HrX Then, by the theorem that " the square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides, '' we have, To ascertain if this formula is general or true, no matter what... | |
 | Illinois State Board of Health - Public health - 1885 - 692 pages
...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.... | |
 | 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... | |
 | 1885 - 696 pages
...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.... | |
 | George Albert Wentworth - Geometry - 1888 - 272 pages
...lines. PLANE GEOMETRY. — BOOK IV. PROPOSITION X. THEOREM. 379. The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. Let BE, CH, AF, be squares on the three sides of tlie right triangle ABC. To... | |
 | James Wallace MacDonald - Geometry - 1894 - 76 pages
...proportional to the adjacent segments of the hypotenuse. COROLLARY II. The square of the hypotenuse of a right triangle is equivalent to the sum of the squares of the other two sides. Proposition XVI. A Problem. 226. To find a mean proportional between two given... | |
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The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. 
