 | Robert Fowler Leighton - 1877 - 372 pages
...to the other two sides. Give proof. 5. Prove that the square described on the hypothenuse of a right triangle is equivalent to the sum of the squares described upon the other two sides. 6. Given two similar polygons, to construct one similar to them both and equivalent to their sum. 7.... | |
 | Education - 1876 - 516 pages
...original demonstration of the 1\ Pythagorean Theorem. 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. I>et ABC be ajright angled triangle, having the right angle at A ; then the square... | |
 | Edward Olney - Geometry - 1877 - 272 pages
...partial triangles ? Why ? THE PYTHAGOREAN PROPOSITION. Theorem.—The square described on the hypotenuse of a right angled triangle is equivalent to the sum of the two squares described on the other two sides. ILL.—The meaning of this proposition may be illustrated... | |
 | Andrew H. Baker - Arithmetic - 1878 - 204 pages
...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 the perpendicular,... | |
 | Olive San Louie Anderson - Ann Arbor (Mich.) - 1878 - 284 pages
...then, you may prove that the square described upon the hypothenuse of a right-angled triangle is equal to the sum of the squares described upon the other two sides, and also that the angles at the base of an isosceles triangle are equal." Then followed more propositions,... | |
 | W J. Dickinson - Geometry - 1879 - 44 pages
...yards high ? • 48. Prove that if the square described upon one of the sides of a triangle be equal to the sum of the squares described upon the other two sides of it, the angle contained by these two sides is a right angle. Deductions. 1. The angles at the base... | |
 | William Frothingham Bradbury - Geometry - 1880 - 260 pages
...and BCD are similar triangles C THEOREM XXVII. 66i The square described on the hypothenuse of a right triangle is equivalent to the sum of the squares described upon the other tu<o sides. Let ABC be a triangle rightangled at B; then 0n the three sides construct squares, draw... | |
 | Pupil teachers - 1880 - 1486 pages
...12 yards high ? 48.Prove that if the square described upon one of the sides of a triangle be equal to the sum of the squares described upon the other two sides of it, the angle contained by these two sides is a right angle. D 咀 ㏄ 祉 血 卑 l ・ The 打... | |
 | Charles Scott Venable - 1881 - 380 pages
...algebraic formula (a + b)(a—b) = a'—b\ PROPOSITION XI. THEOREM. The square described on the hypothemtse of a right angled triangle is equivalent to the sum of the squares described on the other two sides. Let the triangle ABC be right angled at A. Having formed squares on the three... | |
 | John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...? Give an instance of each. 2. If the square described upon one of the sides of a triangle be equal to the sum of the squares described upon the other two sides of it, the angle contained by these two sides is a right angle. 3. The opposite angles of any quadrilateral... | |
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In any right-angled triangle, the square described on the hypotenuse is equal to the sum of the squares described upon the other two sides. 
