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In a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle 59 THEOREM 30.
The Elements of Surveying and Geodesy - Page 12
by William Charles Popplewell - 1915 - 244 pages
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## Elementary Geometry

...note p. vii. PAGE MISCELLANEOUS EXERCISES ON AREA 186 THE THEOREM OF PYTHAGORAS 187 THEOREM 5. In a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle 190 Note on " error per cent." 193 Applications...
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## A Shorter Geometry

...Prove that AD = BE = CF. G. ss G. THIRD STAGE. BOOK II THEOREM 5. [THE THEORKM or PYTHAGORAS.] In a right.angled triangle, the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle. H OL fig. 140. Data ABC is a triangle, right-angled...
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## The Fortnightly, Volume 61; Volume 67

1897
...numbers. Your ordinary Englishman, indeed, is never quite satisfied by Euclid's demonstration that in a right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the two opposite sides; he honestly believes it when :he sees it tried a hundred...
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## A Shorter Geometry

...outwards. Prove that AD = BE = CF. TH1KD STAGE. BOOK II THEOREM 5. [THE THEOREM OF PYTHAGORAS.] In a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle. DL fig. 140. Data ABC is a triangle, right-angled...
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## Paractical Geometry Based on the Various Geometry Books by Godfrey and Siddons

...to a given quadrilateral 55 EXERCISES 55 Chapter VIII. THE THEOREM OF PYTHAGORAS. THEOREM 29. In a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle 59 THEOREM 30. If a triangle is such that the...
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## Practical Geometry

1860 - 147 pages
.... . . . .48 (D) ri'-l,.=(a + li)(aK) . . ' . . . . . 19 THE THEOREM OF PYTHAGORAS. THEOREM 36. In a right.angled triangle, the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle . ; ,-10 PAGE THEOREM 38. EXTENSION OP PYTHAGORAS'...
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## Cambridge Intermediate Mathematics

...similar triangles. CD AC , __ AC* --- AC=BC> and al)"^aie BC A& + AC2 BC and BC2 = Al Revise: In a right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides. The converse is also true: If the square on one side of a triangle...
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## Annual Report of the Public Schools of the Province of British Columbia

...GEOMETRY. (First Class, Grade B.) Wednesday, Jit!,/ Uth ; !> a. in. to 11:30 am Total marks, 200. 1. In a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other sides. 2. To divide a given straight line into two such parts that the...
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## A New Geometry

...triangles, (ii) to verify that an angle is a right angle. THEOREM 27. [THE THEOREM OF PYTHAGORAS.] In a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle. THEOREM 28. [CONVERSE OF PYTHAGORAS' THEOREM.]...
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## Cambridge Intermediate Mathematics

...and equal to AB and in the opposite direction. Join BD. Prove that BD bisects AC. 6. Prove that in a right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle. 7. Prove that equal chords in a circle are...
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