 | William James Milne - Geometry, Modern - 1899 - 258 pages
...hypotenuse compare in area with the sum of the squares on the other sides ? Theorem. The square upon the hypotenuse of a right triangle is equivalent to the sum of the squares upon the other two sides. FIRST METHOD Data : Any right triangle, as ABC; the square on the hypotenuse,... | |
 | United States Naval Academy - 1899 - 624 pages
...is one-half the product of its base and altitude. Prove geometrically that the square described upon the hypotenuse of a right triangle is equivalent to the sum of the squares described upon the other two sides. o. What is meant by dividing a line in extreme and mean rut in... | |
 | Electronic journals - 1901 - 304 pages
...QED 141. Proposed by MA CRUDER. AM, War Department, Washington, DC The equilateral triangle described on the hypotenuse of a right triangle is equivalent to the sum of the equilateral triangles described on the other two sides. Prove without the aid of the famous Pythagorean... | |
 | Aaron Schuyler - Ethics - 1902 - 476 pages
...principle is employed in cases where it is little suspected. The mathematician proves that the square of the hypotenuse of a right triangle is equivalent to the sum of the squares of the other sides by drawing a particular right triangle, constructing squares on the three sides,... | |
 | Education - 1902 - 880 pages
...intersecting within the circumference is measured by ... 5 Complete and demonstrate the following: the square on the hypotenuse of a right triangle is equivalent to ... •-Second 6 The sides of a triangle inscribed in a circle interdivision cept arcs which have the... | |
 | Education - 1902 - 780 pages
...intersecting within the circumference is measured by ... 5 Complete and demonstrate the following: the square on the hypotenuse of a right triangle is equivalent to ... :Sjcond 6 The sides of a triangle inscribed in a circle inter•division cept arcs -\vhich have... | |
 | John Alton Avery - Geometry, Modern - 1903 - 136 pages
...is divided by its diagonals into four triangles of equal area. THEOREM X 193. The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares described on the other two sides. Hyp. Let ABC be a rt. A, and let squares ACDX, BCRF, and ABLK be... | |
 | American School (Chicago, Ill.) - Engineering - 1903 - 390 pages
...proportional between the segments of the hypothenuse, THEOREM UC. 185. The square described on the hypothenuse of a right triangle is equivalent to the sum of the squares described upon the other sides. Let ABC be a right triangle. To prove that A~Bf + BC* = AC*. Draw BD... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...other as the squares of any two homologous lines. BOOK IV. PLANE GEOMETRY. PROPOSITION X. THEOREM. 415. The square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the two legs. Let BE, CH, AF be squares on the three sides of the right triangle ABC. To prove that... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...triangle that is 9 times as large. Five times as large. 194 195 391. THEOREM. The square described upon the hypotenuse of a right triangle is equivalent to the sum of the squares described upon the legs. Given : (?). To Prove: (?). Proof : Draw CL -L to AB, meeting AB at K and... | |
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In geometry he is said to have been the first to demonstrate the proposition that the square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. 
