 | Benjamin Greenleaf - Geometry - 1862 - 532 pages
...— b\ PROPOSITION XL — THEOREM. 237. The square described on the hypothenuse of a right-ariffle.d triangle is equivalent to the sum of the squares described on the other tivo sides. Let ABC be a right-angled L triangle, having the right angle at A ; then the square described... | |
 | Churches of Christ - 1863 - 876 pages
...mankind. The j mechanic does not think it 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... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...— b\ PROPOSITION XI. — THEOREM. 237. 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. Let ABC be a right-angled triangle, having the right angle at A ; then the square described on the... | |
 | Evan Wilhelm Evans - Geometry - 1862 - 116 pages
...the area of a trapezoid, etc. THEOREM XIX. The square described on the hypotenuse of a rightangled triangle is equivalent to the sum of the squares described on the other two sides. H Let ABC be a triangle right-angled at B. It is to be proved that the square AEDC is equivalent to... | |
 | Education - 1863 - 406 pages
...hypotenuse ie the part broken off = 200-=-2 + 32-s-2=116. Ans. I think the geometrical theorem that the square described on the hypotenuse of a right angled triangle is equal to the sum of the square described on the other two sides, or something equivalent to it, is... | |
 | Adrien Marie Legendre - Geometry - 1863 - 464 pages
...PROPOSITKOT XL THEOREM. The square described on the hypothemcse 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 BCZ = AB2 + AC\ Construct the square BCr on the... | |
 | Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...fame of this theorem makes it proper to give here the demonstration from Euclid. 408. Theorem. — The square described on the hypotenuse of a right...equivalent to the sum of the squares described on the two legs. Let ABC be a right angled triangle, having the right angle BAG. The square described on the... | |
 | James Stewart Eaton - Arithmetic - 1864 - 322 pages
...Base. SQUARE ROOT. The square described Fig. 2. on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides. Also the square of either of the two sides which form the right angle is equal to the square of the... | |
 | James Pyle Wickersham - Education - 1865 - 504 pages
...has the same base and the same altitude;" "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;" &c., &c. A well-graded course of instruction of this kind, if judiciously given, would furnish very... | |
 | Horatio Nelson Robinson - Conic sections - 1865 - 474 pages
...b) x (a — b) = a? — b\ THEOREM XXXIX. The 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 righ1>angled triangle, the right angle at B ; we are to prove that the square... | |
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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. 
