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 Books Books 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. Observational Geometry - Page 52
by William Taylor Campbell - 1899 - 240 pages ## Proceedings of the American Academy of Arts and Sciences, Volume 48

...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... ## Proceedings of the American Academy of Arts and Sciences, Volume 48

American Academy of Arts and Sciences - Humanities - 1913 - 1090 pages
...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... ## The Journal of speculative philosophy: Ed. by Wm. T. Harris. microform, Volume 5

Philosophy - 1871
...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,... ## A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1871 - 380 pages
...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... ## A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1872 - 368 pages
...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... ## The New American Arithmetic, Part 3

...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.... ## Essentials of Geometry

Alfred Hix Welsh - Geometry - 1883 - 326 pages
...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... ## Principles of Plane Geometry

James Wallace MacDonald - Geometry - 1889 - 63 pages
...SCHOLIUM. Compare (a + b) (a — b) = a* — P. Proposition XI. A Theorem. 246. The square described on the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. COROLLARY. The square described on either side forming the right... ## Principles of Plane Geometry

James Wallace MacDonald - Geometry - 1894 - 65 pages
...SCHOLIUM. Compare (a + b) (a — b) = a1 — 63. Proposition XI. A Theorem. 246. The square described on the hypotenuse of a right triangle is equal to the sum of the squares of the other two - sides. COROLLARY. The square described on either side forming the right... 