| John Perry - Machinery, Kinematics of - 1883 - 486 pages
...no matter what scale of measurement you use, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. Area of a triangle. — Any side multiplied by its perpendicular distance from the opposite angle and... | |
| William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...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...lengths being expressed in terms of the same unit. PROPOSITION XI. If two chords intersect within a circle, their segments are reciprocally proportional.... | |
| William Chauvenet - 1893 - 340 pages
...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...lengths being expressed in terms of the same unit. PROPOSITION XI. If two chords intersect within a circle, their segments are reciprocally proportional.... | |
| Webster Wells - Arithmetic - 1893 - 390 pages
...all ex- jr pressed in terms of the same unit, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. It follows from the above that In a right triangle, the square of either side about the right angle... | |
| John Perry - Mechanical engineering - 1897 - 724 pages
...no matter what scale of measurement you use, the square of the length of the hypothenuse is equal to the sum of the squares of the lengths of the other two sides. Area of a triangle. — Any side multiplied iks perpendicular distance from the opposite corner and... | |
| Peder Lobben - Mechanical engineering - 1899 - 460 pages
...sides are called the base and perpendicular. The square of the length of the hypothenuse is equal to the sum of the squares of the lengths of the other two sides. ( See Fig. 5). a2 + b2 = c2 From this law the third side of a right-angled triangle can always be found,... | |
| William Chauvenet - 1905 - 336 pages
...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...lengths being expressed in terms of the same unit. PROPOSITION XI. If two chords intersect within a circle, their segments are reciprocally proportional.... | |
| Grace Lawrence Edgett - Geometry - 1909 - 104 pages
...upon a diameter, the perpendicular is a mean proportional between the segments of the diameter. 2. The square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides. 3. In a right triangle the square... | |
| George William Evans - Mathematics - 1911 - 116 pages
...be my excuse for introducing here one of the many modifications of Euclid's proof that the square on the hypotenuse of a right triangle is the sum of the squares on the other two sides. The proof of the Pythagorean theorem can be based on similar triangles or on... | |
| Charles Lingle Woodfield - Arithmetic - 1917 - 154 pages
...triangles and is the hypotenuse of each of the triangles. The square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides. Subtracting the square of the length of one side from the square of the length of the hypotenuse gives... | |
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