 Prove that the area of the square on the hypotenuse of a right triangle equals the sum of the areas of the squares on the other two sides.  Plane Geometry - Page 242by Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - 1920 - 305 pagesFull view - About this book
 | American Academy of Arts and Sciences - Humanities - 1913 - 1034 pages
...singular line and the other diagonal is a singular line of the other class. XIX. Pythagorean Theorem. The area of the square on the hypotenuse of a right triangle is equal to the difference of the areas of the squares on the other two sides. For by XVIII the diagonals... | |
 | George Albert Wentworth - 1883 - 536 pages
...loci. The co-ordinates of A are x=7, у = — 4 ; the co-ordinates of B are x = 4, у = — 7. Since the square on the hypotenuse of a right triangle equals the sum of the squares on the other two sides, inspection of the diagram shows that (if r be the radius of the circle),... | |
 | Euclid, John Bascombe Lock - Euclid's Elements - 1892 - 188 pages
...base. 6. If the sum of the (areas of the) squares on two opposite sides of a quadrilateral is equal to the sum of (the areas of) the squares on the other two sides, the diagonals of the quadrilateral are at right angles. [See Question 12, Examples XLIX.] 7.... | |
 | William Taylor Campbell - Geometry - 1899 - 276 pages
...cm. (or 1j in. and 3 in.) long. The connection between the area of the square on the hypotenuse and the sum of the areas of the squares on the other two sides is the same in any right triangle as in the case of the two which you have just drawn, and is... | |
 | Alvord D. Robinson - Arithmetic - 1902 - 572 pages
...or more of whose faces are triangular. Pythagorean theorem. The one first proved by Pythagoras, that the square on the hypotenuse of a right triangle equals the sum of the squares on the other two sides. Quadrilateral. A figure having four sides. Quantity. Answer to the... | |
 | 1902 - 482 pages
...right-angled triangle, and show that the area of the square on the side opposite the right angle is equal to the sum of the areas of the squares on the other two sides. 9. Find area of the curved surface of a cylinder by wrapping paper round it. 10. Find volume... | |
 | Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...theorems that the areas of similar polygons are as the squares of their homologous sides, and that the square on the hypotenuse of a right triangle equals the sum of the squares on the other two sides. The latter is called the Pythagorean theorem. They also discovered... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...theorems that the areas of similar polygons are as the squares of their homologous sides, and that the square on the hypotenuse of a right triangle equals the sum of the squares on the other two sides. The latter is called the Pythagorean theorem. They also discovered... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...theorems that the areas of similar polygons are as the squares of their homologous sides, and that the square on the hypotenuse of a right triangle equals the sum of the squares on the other two sides. The latter is called the Pythagorean theorem. They also discovered... | |
 | Education - 1914 - 220 pages
...Remove the rectangles and triangles as shown in Fig. 79. Compare the remainders. This proves that — The square on the hypotenuse of a right triangle equals the sum of the squares on the other two sides. Arrange the figures as shown in fig. 80, and paste them in your book.... | |
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