Books Books 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. Elements of Plane Geometry: For the Use of Schools - Page 63
by Nicholas Tillinghast - 1844 - 96 pages ## Report of the Committee of Council on Education in Scotland...[without Appendix]

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... ## A Text-book of Euclid's Elements for the Use of Schools. Books I and II, Book 1

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... ## The Art of Study: A Manual for Teachers and Students of the Science and the ...

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... ## Minutes of Proceedings, Addresses and Papers of the Convention

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,... ## Elements of Plane Geometry

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... ## Annual Reports of the War Department, Volume 1, Part 1

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."... ## Plane Geometry

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... ## Chambers's Encyclopaedia, Dictionary of Universal Knowledge, Volume VI ...

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... ## XX Century Cyclopaedia and Atlas: Biography, History, Art, Science ..., Volume 4

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... 