 | American Academy of Arts and Sciences - 1913 - 1034 σελίδες
...and the other diagonal is a singular line of the other class. XIX. Pythagorean Theorem. The area of the square on the hypotenuse of a right triangle is equal to the difference of the areas of the squares on the other two sides. For by XVIII the diagonals of the squares... | |
 | American Academy of Arts and Sciences - 1913 - 1092 σελίδες
...and the other diagonal is a singular line of the other class. XIX. Pythagorean Theorem. The area of the square on the hypotenuse of a right triangle is equal to the difference of the areas of the squares on the other two sides. For by XVIII the diagonals of the squares... | |
 | 1871 - 396 σελίδες
...bodies or in the infinite world of conceivable atoms ; and so, also, the theorem that the square upon the hypotenuse of a right triangle is equal to the sum of the squares upon its other two sides, is necessary in its truth, and universal in its application,... | |
 | William Chauvenet - 1871 - 380 σελίδες
...the diameter and the segment adjacent to that chord. PBOPOSITION XIV.— THEOREM. 48. The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. Let ABC be right angled at C; then, AB' = A For, by the preceding... | |
 | William Chauvenet - 1872 - 382 σελίδες
...the diameter and the segment adjacent to that chord. PROPOSITION XIV.— THEOREM. 48. The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. Let ABC be right angled at C; then, IB* = AC-' + BC\ For, by the... | |
 | Samuel Mecutchen, George Mornton Sayre - 1877 - 200 σελίδες
...corners; what is the area of the field? Note. — It is established by Geometry that "The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides." Hence the following : — To find the hypotenuse of a right triangle.... | |
 | Alfred Hix Welsh - 1883 - 326 σελίδες
...squares of two lines is 81, and one of the lines is 12; required the other. THEOREM XL The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. Let ABC be a right triangle, whose hypotenuse is AB; then will... | |
 | 1884 - 616 σελίδες
...points, so that drawing AC and BD parallel to OT, we have OC=x,, AC=y, ; =*,, BD=y,. -X -Y D HrX Then, by the theorem that " the square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides, '' we have, To ascertain if this formula... | |
 | W. Cain - 1884 - 156 σελίδες
...points, so that drawing AC and BD parallel to OY, we have OC=x,, AC=y, ; =z2, BD=2/2. 4-Y -Y Then, by the theorem that " the square on the hypotenuse of a right triangle is> equivalent to the sum of the squares on the other two sides," we have, - To ascertain if this formula... | |
 | William Cain - 1884 - 144 σελίδες
...points, so that drawing AC and BD parallel to OY, we have OC = xl5 AC=y, ; —X -Y A4E D -tX Then, by the theorem that " the square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides," we have, To ascertain if this formula... | |
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The formula states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the base and altitude. 
