| Charles Davies - Geometry - 1870 - 319 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 - 566 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 - Geometry - 1872 - 368 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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