| Benjamin Greenleaf - 1868 - 338 pages
...equivalent to the algebraical formula, (a + b) X (a — 6) = a2 — b\ PROPOSITION XI. — THEOREM. 237. **The square described on the hypothenuse of a right-angled...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 hypothenuse... | |
| Robert Milligan - Apologetics - 1868 - 456 pages
...sustained by the common practice of mankind. The mechanic does not think it necessary, to prove that **the square described on the hypothenuse of a right-angled...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... | |
| Richard Wormell - Geometry, Plane - 1868 - 261 pages
...equivalent to the quadrilateral AFD E, and then a rectangle equivalent to the triangle. The square **on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares** on the other sides. 148. Describe the squares on the sides (fig. 126), and through D, the right-angle,... | |
| Edward Brooks - Geometry - 1868 - 294 pages
...(« + &) (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 BD... | |
| Eli Todd Tappan - Geometry - 1868 - 436 pages
...demonstration from Euclid. 408. Theorem — The square described on the hypotenuse of a right angled **triangle is equivalent to the sum of the squares described on the** two legs. Let ABC be a right angled triangle, having the right angle BAC. The square described on the... | |
| Isaac Stone - Educational tests and measurements - 1869 - 278 pages
...described on the lines, together with twice the rectangle contained by the lines." P. VIII. B. IV. **"The square described on the hypothenuse of a right-angled...of the squares described on the other two sides."** P. XI. B. IV. " In every quadrilateral inseribed in a circle, the rectangle of the two diagonals, is... | |
| Isaac Stone - Educational tests and measurements - 1869 - 272 pages
...described on the lines, together with twice the rectangle contained by the lines." P. VIII. B. IV. **"The- square described on the hypothenuse of a right-angled...of the squares described on the other two sides."** P. XI. B. IV. "In every quadrilateral inscribed in a circle, the rectangle of the two diagonals, is... | |
| Horatio Nelson Robinson - 1869 - 276 pages
...and (a + b) x (a — b) = a * — 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 on AC... | |
| Benjamin Greenleaf - 1869 - 516 pages
...— b\ PROPOSITION XI. — THEOREM. 237. The square described on the hypothenuse of a fight-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 H on the hypothenuse... | |
| Richard Wormell - Geometry, Plane - 1870 - 16 pages
...a given rectilinear figure. 3rd. A square equivalent to a given rectangle. 3. Prove that the square **on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares** on the sides. 4. Find a square equivalent to — 1st. The sum of two given squares. 2nd. The difference... | |
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