 | Benjamin Greenleaf - 1869 - 516 pages
...— b\ PROPOSITION XI. — THEOREM. 237. The square described on the hypothenuse of a fight-angled triangle is equivalent to the sum of the squares described on the other two sides. Let ABC be a right-angled triangle, having the right angle at A ; then the square described H on the hypothenuse... | |
 | Isaac Stone - Educational tests and measurements - 1869 - 278 pages
...twice the rectangle contained by the 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 - Educational tests and measurements - 1869 - 272 pages
...twice the rectangle contained by the 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... | |
 | Horatio Nelson Robinson - 1869 - 276 pages
...and (a + b) x (a — b) = a * — b\ THEOREM XXXIX. TJte square described on the hypotenuse of any right-angled triangle is equivalent to the sum of...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 on AC is... | |
 | Charles Davies - Geometry - 1870 - 392 pages
...the language of algebra, 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... | |
 | Richard Wormell - Geometry, Plane - 1870 - 304 pages
...figure. 3rd. A square equivalent to a given rectangle. 3. Prove that the square on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares on the sides. 4. Find a square equivalent to — 1st. The sum of two given squares. 2nd. The difference... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...of the polygons. 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,... | |
 | James De Mille - Adventure stories - 1871 - 370 pages
...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... | |
 | Edward Olney - Geometry - 1872 - 102 pages
...squares described on the lines. FIG. 370. VARIOUS DEMONSTRATIONS OF THE PYTHAGOREAN PROPOSITION. 668. The square described on the hypotenuse of a right-angled...sum of the squares described on the other two sides. Fio. 372. 1st METHOD.—Let ABC be the given triangle, and ACED the square described on the hypotenuse.... | |
 | Edward Olney - Geometry - 1872 - 562 pages
...lines. OJ Fio. 370. oS Fio. 871. Fio. 873. VARIOUS DEMONSTRATIONS OF THE PYTHAGOREAN PROPOSITION. 668. The square described on the hypotenuse of a right-angled...sum of the squares described on the other two sides. 1st METHOD.— Let ABC be the given triangle, and ACEO the square described on the hypotenuse. Complete... | |
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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. 
