 | Benjamin Greenleaf - 1862 - 518 σελίδες
...algebraical formula, (a + 6) X (a — b) = a2 — b*. PROPOSITION XI. — THEOREM. 237. The square described on the hypothenuse of a right-angled triangle is equivalent...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... | |
 | Benjamin Greenleaf - 1863 - 504 σελίδες
...algebraical formula, (a + ft) X (a — by = a2 — b\ PROPOSITION XI. — THEOREM. 237. The square described on the hypothenuse of a right-angled triangle is equivalent...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 - 1862 - 116 σελίδες
...altitude. Hence, 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... | |
 | 1863 - 876 σελίδες
...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... | |
 | Adrien Marie Legendre - 1863 - 464 σελίδες
...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 - 1864 - 288 σελίδες
...is equivalent to 2 2 AB + AC + 2ACXAD. 413. Corollary — If the square described on one side of a triangle is equivalent to the sum of the squares described on the other two sides, then the opposite angle is a right angle. For the last two theorems show that it can be neither acute... | |
 | James Stewart Eaton - 1864 - 322 σελίδες
...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 - 1865 - 504 σελίδες
...triangle is half the parallelogram which has the same base and the same altitude;" "The square described on the hypothenuse of a right-angled triangle is equivalent...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... | |
 | James Pyle Wickersham - 1865 - 508 σελίδες
...triangle is half the parallelogram which has the same base and the same altitude;" "The square described on the hypothenuse of a right-angled triangle is equivalent...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 - 1865 - 474 σελίδες
...; and (a + 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. 
