 | 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... | |
 | 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... | |
 | 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... | |
 | 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,... | |
 | Alan Sanders - Geometry, Modern - 1901 - 260 pages
...to a given hexagon and equivalent to one quarter of the given hexagon. PROPOSITION XI. THEOREM 643. The square described on the hypotenuse of a rightangled...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... | |
 | United States. War Department - 1901 - 894 pages
...circumference may always be made to pass, and but one. Prove that 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. Given the side of an equilateral triangle equal to 10 feet; find its area. Define " limit of a variable."... | |
 | 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... | |
 | 1901 - 944 pages
...rvlit angle. The well-known property of the fcypothetmne, that the square described on it is •qua! to the sum of the squares described on the other two sides, is proved in the 47th proposition of the in -i book of Euclid's Elements. Hyracotherilim, a genus of... | |
 | Ainsworth Rand Spofford, Charles Annandale - Encyclopedias and dictionaries - 1901 - 530 pages
...first book, discovered by Pythagoras, which proves that the square described on the hypotenuse is equal to the sum of the squares described on the other two sides. Hypoth'ec, in Scots law, a claim or right which a creditor has over the effects of a debtor while they... | |
 | Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...equal to one another. 3. Prove that if the square described on one of the sides of a triangle is equal to the sum of the squares described on the other two sides of it, the angle contained by these two sides is a right angle. 4. Prove that if a straight line be... | |
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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. 
