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 ## God and Nothing

William Wallace Handlin - God - 1903 - 330 pages
...distances of the heavenly bodies by means of the triangle. The square described on the hypothenuze is equal to the sum of the squares described on the other two sides. A triangle formed by a point on the surface of the earth, its center and the sun, has a respectable... ## Arithmetic for Business with Short Methods and Rapid Calculations in All ...

Jacob Henry Minick, Clement Carrington Gaines - Business mathematics - 1904 - 412 pages
...base. 438. To find the Hypotenuse. It is seen that the square described on the hypotenuse is equal to the sum of the squares described on the other two sides. Hence. RULE. — Add the square of the lose to the square of tJie perpendicular, and extract the square... ## A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 488 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... ## Geometry: Plane Trigonometry. Chain Surveying. Compass Surveying. Transit ...

International Correspondence Schools - Building - 1906 - 620 pages
...parts. 56. The Theorem or Pythagoras. — In any right triangle, the square described on the hypotenuse is equivalent to the sum of the squares described on the other two sides. Let ABC, Fig. 38, be a right triangle. Draw an equal triangle in the position C B' C', so that C B' will... ## Exercises in Concrete Geometry: With Supplementary Discussions

David Sands Wright - Geometry - 1906 - 104 pages
...triangles. 25. Theorem. The square described on the side of a triangle opposite an acute angle is equal to the sum of the squares described on the other two sides diminished by twice the product of one of those sides by the projection of the other side upon it.... ## Woodworking for Beginners: A Manual for Amateurs

Charles Gardner Wheeler - Woodwork - 1907 - 594 pages
...squares of the two sides. (The square described on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides.) You can measure the diagonal directly from a plan if you understand mechanical drawing well enough... ## Elements of Plane and Solid Geometry

Alan Sanders - Geometry - 1908 - 396 pages
...given hexagon and equivalent to one quarter of the given hexagon. 199 PROPOSITION XI. THEOREM 643. The square described on the hypotenuse of a rightangled...sum of the squares described on the other two sides. ED Let ABC be a right-angled triangle. To Prove 5C2 = AS2 Proof. Describe squares on the three sides... ## Plane and Solid Geometry

Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...similar triangles are in the same ratio as the squares of any two corresponding sides. 400. The area of the square described on the hypotenuse of a rightangled triangle is equivalent to the sum of the areas of the squares described on the other two sides. 406. In any triangle, the square on the side... ## A School Geometry, Parts 1-4

Henry Sinclair Hall - 1908 - 286 pages
...GEOMETRY. THEOREM 29. [Euclid I. 47.] a right-angled triangle the square described on the hypotenuse to the sum of the squares described on the other two sides. LE Let ABC be a right-angled A, having the angle ACB a rt. L. It is required to prove that the square... 