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Βιβλία Βιβλία 51 - 60 από 178 για The square described on the hypothenuse of a right-angled triangle is equivalent....
" 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. "
A Complete Epitome of Practical Navigation, and Nautical Astronomy ... - Σελίδα 37
των John William Norie, J. W. Saul - 1917 - 595 σελίδες
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 σελίδες
...obtuse. For the angle cannot be a right angle, since the square described on the first side would then be equal to the sum of the squares described on the other two sides, by I. 47 ; and the angle cannot be acute, since the square described on the first side would then be...

Elements of Plane and Solid Geometry: And of Plane and Spherical ...

Gerardus Beekman Docharty - 1867 - 283 σελίδες
...XXXIV. In an;/ right-angled triangle, the square of the hypothmuse is equal to the sum of the squares of the other two sides. Let ABC be a right-angled triangle, having the right angle A ; then will the square of the hypothenuse CB be equal to the sum of the squares of the...

University Arithmetic: Embracing the Science of Numbers, and General Rules ...

Charles Davies - 1867 - 466 σελίδες
...right-angled triangle the square described on the ase' 330 EXTRACTION OF THE SQUARE ROOT. hypothcnusc is equal to the sum of the squares described on the other two skies. Thus, if ACB be a right-angled triangle, right-angled at C, then will the large square, D, described...

Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1868 - 320 σελίδες
...— THEOREM. 237. 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. Let ABC be a right-angled triangle, having the right angle at A ; then the square described on the hypothenuse BC will be equivalent to the sum of...

The Normal Elementary Geometry: Embracing a Brief Treatise on Mensuration ...

Edward Brooks - 1868 - 275 σελίδες
...—2ab (« + &) (a THEOREM VI. 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. Let ABC be a triangle, right-angled at B; then will For, construct squares on each of the sides, draw BD parallel...

Treatise on Geometry and Trigonometry: For Colleges, Schools and Private ...

Eli Todd Tappan - 1868 - 420 σελίδες
...Theorem — The square described on the side opposite an obtuse angle of a triangle, is equivalent to the sum of the squares described on the other two sides, increased by twice the rectangle of one of those sides and the projection of the other on that side....

Papers for the schoolmaster, Τόμος 4

1868
...can be deduced from it. 0!^ Ilie square described on the liypothennse of a right-angled triangle, 11 equal to the sum of the squares described on the other two sid>-s. Prore this. ALQEBK A. MALES ONLY. The solution must in every instance be given el Ml Itaglh....

Reason and Revelation: Or, The Province of Reason in Matters Pertaining to ...

Robert Milligan - 1868 - 445 σελίδες
...necessary, to 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, every time that he attempts to square a building. It is enough for him to know that this truth has...

Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1869 - 382 σελίδες
...— THEOREM. 237. The square described on the hypothenuse of a fight-angled triangle is equivalent to the sum of the squares described on the other two...sides. Let ABC be a right-angled triangle, having the right angle at A ; then the square described H on the hypothenuse BC will be equivalent to the sum...

Elements of Geometry, Plane and Spherical: With Numerous Practical Problems

Horatio Nelson Robinson - 1869
...b\ THEOREM XXXIX. TJte square described on the hypotenuse of any right-angled triangle is equivalent to the sum of the squares described on the other two sides. Let ABC represent any right-angled triangle, the right angle at B; we are to prove that the square on AC is...




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