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" If the square described on one of the sides of a triangle be equal to the squares described on the other two sides of it, the angle contained by these two sides is a right angle. "
Geometry Without Axioms; Or the First Book of Euclid's Elements. With ... - Σελίδα 120
των Thomas Perronet Thompson - 1833 - 150 σελίδες
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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...

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...

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....

The Elementary and Complete Examiner: Or, Candidate's Assistant: Prepared to ...

Isaac Stone - 1869 - 276 σελίδες
...lines." P. VIII. B. IV. "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." P. XI. B. IV. " In every quadrilateral inseribed in a circle, the rectangle of the two diagonals, is...

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...

The Elementary and Complete Examiner: Or, Candidate's Assistant: Prepared to ...

Isaac Stone - 1869 - 276 σελίδες
...lines." P. VHI. B. IV. "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." P. XI. B. IV. "In every quadrilateral inscribed in a cirele, the rectangle of the two diagonals, is...

Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - 1870 - 319 σελίδες
...thus, THEOREM XII. 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. 1 • " / Of Bight Angled Triangles. Let BAC be a right angled triangle, right angled at A: then will...

The Boys of Grand Pré School

James De Mille - 1871 - 348 σελίδες
...he added in the same tone, " 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 of the same." " And I," said Arthur, " find Arnold's Latin Exercises the worst. The most solemn thing...

A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1871 - 368 σελίδες
...PROPOSITION X.— THEOREM. 25. The square described upon the hypotenuse of a right triangle is equivalent to the sum of the squares described on the other two sides. IZ LS Let the triangle ABC be right angled at C; then, the square AH, described upon the hypotenuse,...

Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - 1872 - 455 σελίδες
...PROPOSITION XI. THEOREM. CBK 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 A : then will = Al? + AC\ Construct the square BG on the side...




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