| Robert Milligan - 1868 - 456 Seiten
...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... | |
| Horatio Nelson Robinson - 1869 - 276 Seiten
...b\ THEOREM XXXIX. TJte 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 right-angled triangle, the right angle at B; we are to prove that the square... | |
| Isaac Stone - 1869 - 278 Seiten
...lines." P. VIII. B. IV. "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." P. XI. B. IV. " In every quadrilateral inseribed in a circle, the rectangle of the two diagonals, is... | |
| Isaac Stone - 1869 - 272 Seiten
...lines." P. VHI. B. IV. "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." P. XI. B. IV. "In every quadrilateral inscribed in a cirele, the rectangle of the two diagonals, is... | |
| Charles Davies - 1870 - 392 Seiten
...thus, THEOREM XII. 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. 1 • " / Of Bight Angled Triangles. Let BAC be a right angled triangle, right angled at A: then will... | |
| James De Mille - 1871 - 370 Seiten
...he added in the same tone, " The square described on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides of the same." " And I," said Arthur, " find Arnold's Latin Exercises the worst. The most solemn thing... | |
| William Chauvenet - 1871 - 380 Seiten
...PROPOSITION X.— THEOREM. 25. The square described upon the hypotenuse of a right triangle is equivalent to the sum of the squares described on the other two sides. IZ LS Let the triangle ABC be right angled at C; then, the square AH, described upon the hypotenuse,... | |
| Charles Davies - 1872 - 464 Seiten
...PROPOSITION XI. THEOREM. CBK The square described on the hypothenuse 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 = Al? + AC\ Construct the square BG on the side... | |
| Edward Olney - 1872 - 472 Seiten
...346. COR.. 3. — .The square described on the hypotenuse of a right angled triangle is equivalent to the sum of the squares described on the other two sides. DEM.— From Cor. 1, AC" = AB x AD and also CBa = AB x DB. Therefore, adding, AC4 + CB =AB (AD + DB)... | |
| Eli Todd Tappan - 1873 - 288 Seiten
...AB + AC + 2ACXAD. 413. Corollary — If the square described on one side of a triangle is equivalent to the sum of the squares described on the other two sides, then the opposite angle is a right angle. For the last two theorems show that it can be neither acute... | |
| |