 | 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... | |
 | 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 - 96 pages
...YARIOUS DEMONSTRATIONS OP THE PYTHAGOREAN PROPOSITION. 668. 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. 1st METHOD. — Let ABC be the given triangle, and AGED the square described on the hypotenuse. Complete... | |
 | Edward Olney - Geometry - 1872 - 562 pages
...VARIOUS DEMONSTRATIONS OF THE PYTHAGOREAN PROPOSITION. 668. 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. 1st METHOD.— Let ABC be the given triangle, and ACEO the square described on the hypotenuse. Complete... | |
 | Edward Olney - Geometry - 1872 - 102 pages
...VARIOUS DEMONSTRATIONS OF THE PYTHAGOREAN PROPOSITION. 668. 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. Fio. 372. 1st METHOD.—Let ABC be the given triangle, and ACED the square described on the hypotenuse.... | |
 | William Chauvenet - Geometry - 1872 - 382 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. Let the triangle ABC be right angled at C', then, the square AH, described upon the hypotenuse, is equal... | |
 | Edward Olney - Geometry - 1872 - 472 pages
...and DB to be compared? 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)... | |
 | William Chauvenet - Mathematics - 1872 - 382 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. ia a Let the triangle ABC be right angled at C; then, the square AH, described upon the hypotenuse,... | |
 | Charles Davies - Geometry - 1872 - 464 pages
...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 BC,... | |
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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. 
