 | Isaac Stone - Educational tests and measurements - 1869 - 272 pages
...lines, together with twice the rectangle contained by the lines." P. VIII. B. IV. "The- square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides." P. XI. B. IV. "In every quadrilateral inscribed in a circle, the... | |
 | Richard Wormell - Geometry, Plane - 1870 - 304 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... | |
 | Henry Barnard - Military education - 1872 - 988 pages
...height. — What must be understood by that enunciation. — The area of a triangle is measured by half of the product of the base by the height. To transform...the area of a polygon. — Measure of the area of a trapezoid. The square constructed on the hypothenuBe of a right-angled triangle is equivalent to the... | |
 | Benjamin Greenleaf - Geometry - 1873 - 202 pages
...four times the square described on the half A B. BOOK IV. EQ THEOREM IX. 195. The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides. Let ABC be a right-angled M triangle, having the right angle at A... | |
 | Benjamin Greenleaf - Geometry - 1874 - 206 pages
...times the square described on the half A B. E D F G BOOK IV. F E THEOREM IX. 195. The square described on the hypothenuse of a right-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 ;... | |
 | Andrew H. Baker - Arithmetic - 1878 - 204 pages
...hence, Vu = ^, Vff- = |, í, etcBy a proposition in Geometry, it is proved that the square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described upon the base and perpendicular; thus, Let ABC be a rightangled triangle, AB the base, AC... | |
 | Franklin Ibach - Geometry - 1882 - 208 pages
...readily found. ELEMENTS OF PLANE GEOMETRY. SQUARES ON LINES. THEOREM VI. 254. The square described on the hypothenuse of a rightangled triangle is equivalent to the sum of the squares on the other two sides. Let ABC be а RA, right-angled at C. То prove that AB* = AC* + BО*. On AB,... | |
 | 1886 - 580 pages
..." 47th proposition of Euclid," and where can a collection of them be found ? " The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides." — Davics' Lfgeniire, Bk. iv, Prop. n. Was the Pythagorean harmony... | |
 | David Swing - English essays - 1889 - 280 pages
...rather cry out, "Eureka! eureka!" over a bunch of wild flowers than over the idea that the square of the hypothenuse of a right-angled triangle is equivalent to the sum of the squares of the other two sides. We all believe the utterances of geometry. "We do not entertain any doubt over... | |
 | William J. Shoup - Education - 1891 - 332 pages
...mathematician who should publish as an original discovery the astonishing fact that the square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares on the other two sides, or the geographer who should just discover that the earth is a sphere. The... | |
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The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides. 
