 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...obtuse. For the angle cannot be a right angle, since the square described on the first side would then be equal to the sum of the squares described on the other two sides, by I. 47 ; and the angle cannot be acute, since the square described on the first side would then be... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...obtuse. For the angle cannot be a right angle, since the square described on the first side would then be equal to the sum of the squares described on the other two sides, by I. 47 ; and the angle cannot be acute, since the square described on the first side would then be... | |
 | Charles Davies - Arithmetic - 1867 - 486 pages
...right-angled triangle the square described on the ase' 330 EXTRACTION OF THE SQUARE ROOT. hypothcnusc is equal to the sum of the squares described on the other two skies. Thus, if ACB be a right-angled triangle, right-angled at C, then will the large square, D, described... | |
 | Edward Brooks - Geometry - 1868 - 284 pages
...—2ab (« + &) (a THEOREM VI. 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 B; then will For, construct squares on each of the sides, draw... | |
 | 1868 - 344 pages
...can be deduced from it. 0!^ Ilie square described on the liypothennse of a right-angled triangle, 11 equal to the sum of the squares described on the other two sid>-s. Prore this. ALQEBK A. MALES ONLY. The solution must in every instance be given el Ml Itaglh.... | |
 | Eli Todd Tappan - Geometry - 1868 - 432 pages
...Theorem — The square described on the side opposite an obtuse angle of a triangle, is equivalent to the sum of the squares described on the other two sides, increased by twice the rectangle of one of those sides and the projection of the other on that side.... | |
 | Robert Milligan - Apologetics - 1868 - 456 pages
...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 - 1868 - 340 pages
...— 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... | |
 | Isaac Stone - Educational tests and measurements - 1869 - 272 pages
...lines." P. VHI. B. IV. "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." P. XI. B. IV. "In every quadrilateral inscribed in a cirele, the rectangle of the two diagonals, is... | |
 | Horatio Nelson Robinson - 1869 - 276 pages
...b\ THEOREM XXXIX. TJte 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 right-angled triangle, the right angle at B; we are to prove that the square... | |
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Now (4)2+(3)2=25 sq. ft. ; and the square described on BC also contains 25 sq. ft. Hence, the square described on the hypothenuse of any right-angled triangle, is equal to the sum of the squares described on the other two sides. 
