| 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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