 | Harvard University - Geometry - 1899 - 39 pages
...as the squares of their perimeters. THEOREM VIII. The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares described on the other two sides. BOOK V. REGULAR POLYGONS AND THE MEASURE OF THE CIRCLE. THEOREM I. An equilateral polygon inscribed... | |
 | Stanley Waterloo - 1899 - 310 pages
...other world. We reply to you, and we show to you that we can reason by indicating that the square of the hypothenuse of a rightangled triangle is equivalent to the sum of the squares of the other two sides. Hope to hear from you further. There was the right-angled triangle, its lines... | |
 | Education - 1899 - 824 pages
...area, prove that PS is parallel toBQ. 4. If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides, the angle contained by these sides is a right angle. Hence show that if the lengths of the three sides... | |
 | W. H. F. Henry - Questions and answers - 1899 - 440 pages
...the length and breadth are equal. 24. What is the Pythagorean Theorem f The square on the hypotenuse of a right-angled triangle is equivalent to the sum of the squares on the sides that contain the right angle. This theorem, discovered by Pythagoras, is known as the... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...the square DC. PROPOSITION 48. THEOREM. If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides, then the angle contained by these two sides shall be a right angle. BC Let ABC be a triangle ; and... | |
 | Canadian Education Association - Education - 1900 - 474 pages
...is equal to two right angles, that the square on the hypothenuse of a right angled triangle is equal to the sum of the squares described on the other two sides, that the angle in a semi-circle is a right angle, the conditions of equality and similarity of triangles,... | |
 | Burke Aaron Hinsdale - Attention - 1900 - 284 pages
...the Pythagorean theorem : the square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides, and it proceeded somewhat as follows: Teacher. What have we given in this proposition to base our work... | |
 | United States. War Department - 1901 - 894 pages
...not in the same straight line one circumference may always be made to pass, and but one. Prove that the square described on the hypothenuse of a right-angled...sum of the squares described on the other two sides. Given the side of an equilateral triangle equal to 10 feet; find its area. Define " limit of a variable."... | |
 | Alan Sanders - Geometry, Modern - 1901 - 260 pages
...one quarter of the given hexagon. PROPOSITION XI. THEOREM 643. The square described on the hypotenuse of a rightangled triangle is equivalent to the sum...the squares described on the other two sides. Let ABC be a right-angled triangle. To Prove He" = ZZJ 2 + Jc 2 Proof. Describe squares on the three sides... | |
 | Edward Brooks - Geometry, Modern - 1901 - 278 pages
...line? D 1 I 158 PROPOSITION XI. — THEOREM. The square described on the hypotenuse of a right trinngle is equivalent to the sum of the squares described on the other two sides. Given. — Let ABC be a triangle, right-angled at B. To Prove. — Then we are to prove that Construct... | |
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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. 
