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" The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302. "
Elements of Geometry - Σελίδα 63
των Adrien Marie Legendre - 1825 - 224 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Bell's New Pantheon; Or, Historical Dictionary of the Gods, Demi-gods ...

John Bell - 1790
...demonstration of the 47th proposition of the first book of Euclid, viz. that in n right angled triangle the square of the hypothenuse is equal to the sum of the squares of the two other sides. Julius Capito/ linus relates, that when an Hecatomb was to be sacrificed,...

A System of Geometry and Trigonometry: Together with a Treatise on Surveying ...

Abel Flint - 1804 - 168 σελίδες
...without finding the Angles ; according to the following PROPOSITION : In every Right Angled Triangle, the Square of the Hypothenuse is equal to the Sum of the Squares of the two Legs. Hence, The Square of the given Leg being subtracted from the Square of the...

A System of Geometry and Trigonometry: Together with a Treatise on Surveying ...

Abel Flint - 1808 - 168 σελίδες
...without Finding the Angles ; according to the following PROPOSITION : In every Right Angled Triangle, the Square of the Hypothenuse is equal to the Sum of the Squares of the two Legs. Hence, The Square of the given Leg being subtracted from the Square of the...

A Treatise of Plane Trigonometry: To which is Prefixed, a Summary View of ...

Jeremiah Day - 1815 - 126 σελίδες
...the third side may be found, without the aid of the trigonometrical tables, by the proposition, that the square of the hypothenuse is equal to the sum of the squares of the two perpendicular sides. (Euc. 47. 1.) If the legs be given, extracting the square root...

A Practical Application of the Principles of Geometry to the Mensuration of ...

Jeremiah Day - 1815 - 96 σελίδες
...referred to. 94. Other relations of the sine, tangent, Sic. may be derived from the proposition, that the square of the hypothenuse is equal to the sum of the squares of the perpendicular sides. (Euc. 47. I.) In the right angled triangles CBG, CAD, and CHF,...

The complete measurer: or, The whole art of measuring, containing the ...

Thomas Keith - 1817
...4. An angle IAD in a semi'circle is a right angle (EUCLID 31 ./III.) 5. In a right-angled triangle the square of the hypothenuse is equal to the sum of the squares of the other two sides, (EuctiD 47 «/"!.) see also Problem VI. 6. If a perpendicular be drawn...

Elements of Geometry

Adrien Marie Legendre - 1819 - 208 σελίδες
...FGH+FHI+F1K, or the polygon FGHIK, as one antecedent ABC is to its consequent FGH, or as . .'// is to FG (219). Therefore the surfaces of similar polygons...square of the hypothenuse is equal to the sum of the squares of the two other sides ; therefore, &c. THEOREM. 223. The parts of two chards which cut each...

The New Monthly Magazine and Literary Journal, Τόμος 45

1835
...three angles of a triangle are equal to two right angles ; and also, that in any right-angled triangle the square of the hypothenuse is equal to the sum of the squares of the other two sides. In like manner did this ingenious gentleman demonstrate, that it was...

British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Τόμος 12

William Nicholson - 1821
...triangles, which are similar to the first triangle, and to one another. In every right-angled triangle, the square of the hypothenuse is equal to the sum of the squares of the other two sides; and, in general, any figure described on the hypothenuse is equal to...

American Edition of the British Encyclopedia: Or, Dictionary of ..., Τόμος 12

William Nicholson - 1821
...triangles, which are similar to the first triangle, and to one another. In every right-angled triangle, the square of the hypothenuse is equal to the sum of the squares of the other two sides; and, in general, any figure described on the hypothenuse is equal to...




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