 The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.  Elements of Geometry - Page 152by George Washington Hull - 1897 - 398 pagesFull view - About this book
 | Churches of Christ - 1863 - 876 pages
...does not think it necessary to prove that the square described on the hypothenuse of a right angled triangle, is equivalent to the sum of the squares described on the other two sides, every time that he attempts to square a building. It is enough for him to know that this truth has... | |
 | Adrien Marie Legendre - Geometry - 1863 - 464 pages
...PROPOSITKOT XL THEOREM. The square described on the hypothemcse of a right-angled triangle, is equal to the sum of the squares described on the other two sides. Let ABC be a triangle, right-angled at A : then will BCZ = AB2 + AC\ Construct the square BCr on the... | |
 | James Stewart Eaton - Arithmetic - 1864 - 322 pages
...Base. SQUARE ROOT. The square described Fig. 2. on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides. Also the square of either of the two sides which form the right angle is equal to the square of the... | |
 | Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...demonstration from Euclid. 408. Theorem. — The square described on the hypotenuse of a right angled triangle is equivalent to the sum of the squares described on the two legs. Let ABC be a right angled triangle, having the right angle BAG. The square described on the... | |
 | James Pyle Wickersham - Education - 1865 - 504 pages
...has the same base and the same altitude;" "The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides ;" &c., &c. A well-graded course of instruction of this kind, if judiciously given, would furnish very... | |
 | Horatio Nelson Robinson - Conic sections - 1865 - 474 pages
...b) x (a — b) = a? — b\ THEOREM XXXIX. The square described on the hypotenuse of any right-angled triangle is equivalent to the sum of the squares described on the other two sides. Let ABC represent any righ1>angled triangle, the right angle at B ; we are to prove that the square... | |
 | James Pyle Wickersham - Education - 1865 - 504 pages
...has the same base and the same altitude;" "The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides;" &c., &c. A well-graded course of instruction of this kind, if judiciously given, would furnish very... | |
 | William Harris Johnston - 1865 - 478 pages
...right-angled triangle has this important property that " the square described on the hypotenuse is equal to the sum of the squares described on the other two sides," that is, the square on the side opposite to the right angle equals in area the sum of the squares on... | |
 | James Stewart Eaton - Arithmetic - 1868 - 356 pages
...circle*? 11. The square de- ^ Fig. 12. scribed on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides. Also the square of either of the two sides which form the right angle is equal to the square of the... | |
 | Education - 1866 - 538 pages
...I'ythagor'ean theorem, "The square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides." Miss Lizzie Trull and Mr, Allison also deserve especial praise for the ready manner in which they answered... | |
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