 | Edward Olney - 1872 - 472 σελίδες
...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 - 1872 - 382 σελίδες
...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 - 1872 - 464 σελίδες
...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,... | |
 | Eli Todd Tappan - 1873 - 288 σελίδες
...demonstration from Euclid. 4OS. 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 BAC. The square described on the... | |
 | Benjamin Greenleaf - 1873 - 202 σελίδες
...square described on the half A B. BOOK IV. EQ THEOREM IX. 195. The square described on the hypothenuse of a right-angled triangle is equivalent to the sum...the squares described on the other two sides. Let ABC be a right-angled M triangle, having the right angle at A . then the square described on the hypothenuse... | |
 | Benjamin Greenleaf - 1874 - 206 σελίδες
...described on the half A B. E D F G BOOK IV. F E THEOREM IX. 195. The square described on the hypothenuse of a right-angled triangle is equivalent to the sum...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 on the hypothenuse... | |
 | Adrien Marie Legendre - 1874 - 500 σελίδες
...PROPOSITION XI. THEOREM. 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 SO* = AS2 + AC2. Construct the square BG on the side... | |
 | United States Naval Academy - 1874 - 888 σελίδες
...sides. 1. Prove that the square described on the hypothenu.se of a right triangle is ci ; ni valent to the sum of the squares described on the other two sides. .">. Prove that a triangular pyramid is one-third of a triangular prism of the samo base and altitnde,... | |
 | Bombay city, univ - 1874 - 648 σελίδες
...point without it. 2. Show that if the square described on one of the sides 8 of a triangle be equal to the sum of the squares described on the other two sides of it, the anglo contained by these two sides is a right angle. 3. In every triangle the square on... | |
 | 1875 - 398 σελίδες
...perimeter is regular. • 3. PROPOSITION. 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. 4. PROPOSITION. If the diagonals of a quadrilateral bisect each other the figure is a parallelogram.... | |
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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. 
