 | Illinois State Board of Health - Public health - 1885 - 694 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.... | |
 | 1885 - 608 pages
...opposite to the equal angles are homologous sides. 6. In right angled triangles the rectilinear figure described upon the side opposite to the right angle is equal to the similar and similarly described figures upon the sides containing the right angle. I. [16] PRACTICAL... | |
 | 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... | |
 | Webster Wells - Geometry - 1886 - 392 pages
...the sum of M and N. For the square described upon the hypotenuse of a right triangle is equivalent to the sum of the squares described upon the other two sides (ยง 338). 348- COROLLARY. By an extension of the above method a square may be constructed equivalent... | |
 | E. J. Brooksmith - Mathematics - 1889 - 356 pages
...meant by a line being cut in extreme and mean ratio? In right-angled triangles, the rectilineal figure described upon the side opposite to the right angle is equal to the similar and similarly described figures upon the sides containing the right angle. 10. If the exterior... | |
 | Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...prove that the triangle AED is similar to ABC. 8. In right-angled triangles the rectilineal figure described upon the side opposite to the right angle is equal to the similar and similarly described figures upon the sides containing the right angle. 9. What is meant... | |
 | George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...each other the figure is d* parallelogram. 2. Prove that in any right-angled triangle the square on the side opposite to the right angle is equal to the sum of the squares on the other two sides. A purely geometrical proof is preferred. 3. Given a straight line AB... | |
 | George Clinton Shutts - Geometry - 1894 - 412 pages
...rectangle. PROPOSITION X. 341. Theorem. The square described upon the hypotenuse of a right triangle is equal to the sum of the squares described upon the other two sides. Let ABC represent a right triangle, whose hypotenuse is AC, AE the square upon the hypotenuse, and... | |
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IN right angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal to the similar and similarly described figures upon the sides containing the right angle... 
