 | George Albert Wentworth - 1883 - 536 էջ
...co-ordinates of A are x=7, у = — 4 ; the co-ordinates of B are x = 4, у = — 7. Since the square on the hypotenuse of a right triangle equals the sum of the squares on the other two sides, inspection of the diagram shows that (if r be the radius of the circle), Hence,... | |
 | William Chauvenet, William Elwood Byerly - 1887 - 331 էջ
...diameter, the perpendicular is a mean proportional between the segments of the diameter. PROPOSITION X. The square of the length of the hypotenuse of a right triangle is the sum of the squares of the lengths of the other two sides, the three lengths being expressed... | |
 | William Chauvenet, William Elwood Byerly - 1887 - 342 էջ
...diameter, the perpendicular is a mean proportional between the segments of the diameter. PROPOSITION X. The square of the length of the hypotenuse of a right triangle is the sum of the squares of the lengths of the other two sides, the three lengths being expressed... | |
 | William Chauvenet - 1893 - 340 էջ
...diameter, the perpendicular is a mean proportional between the segments of the diameter. PROPOSITION X. The square of the length of the hypotenuse of a right triangle is the sum of the squares of the lengths of the other two sides, the three lengths being expressed... | |
 | George D. Pettee - 1896 - 272 էջ
...conseq.H I as any ant, is to its conseq. J PROPOSITION XI THE PYTHAGOREAN THEOREM 258. Theorem. The square of the hypotenuse of a right triangle equals the sum of the squares of the legs. First Method Appl. Prove AC * = AB * + B(f Cons. Draw -L BD Dem. AB = AC x AD .. , t . .... | |
 | Alvord D. Robinson - 1902 - 572 էջ
...whose faces are triangular. Pythagorean theorem. The one first proved by Pythagoras, that the square on the hypotenuse of a right triangle equals the sum of the squares on the other two sides. Quadrilateral. A figure having four sides. Quantity. Answer to the query "How... | |
 | Fletcher Durell - 1904 - 382 էջ
...the areas of similar polygons are as the squares of their homologous sides, and that the square on the hypotenuse of a right triangle equals the sum of the squares on the other two sides. The latter is called the Pythagorean theorem. They also discovered how to construct... | |
 | Fletcher Durell - 1911 - 553 էջ
...the areas of similar polygons are as the squares of their homologous sides, and that the square on the hypotenuse of a right triangle equals the sum of the squares on the other two sides. The latter is called the Pythagorean theorem. They also discovered how to construct... | |
 | Fletcher Durell - 1904 - 232 էջ
...the areas of similar polygons are as the squares of their homologous sides, and that the square on the hypotenuse of a right triangle equals the sum of the squares on the other two sides. The latter is called the Pythagorean theorem. They also discovered how to construct... | |
 | George Clinton Shutts - 1905 - 260 էջ
...line, it must be interpreted as in §329. (a) The Pythagorean proposition is often stated: The square of the hypotenuse of a right triangle equals the sum of the squares of the other two sides. It is frequently expressed as an algebraic equation, thus: A~C 2 = A~B 2 +"B~C... | |
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Pythagorean theorem, which states that the square of the hypotenuse of a right triangle equals the sum of the squares of the other two sides. 
