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Βιβλία Βιβλία 91 - 100 από 182 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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Elements of Geometry, After Legendre, with a Selection of Geometrical ...

Charles Scott Venable - 1881
...PROPOSITION XI. THEOREM. The square described on the hypothemtse of a right angled triangle is equivalent to the sum of the squares described on the other two sides. Let the triangle ABC be right angled at A. Having formed squares on the three sides, let fall, from A,...

Proceedings

National Education Association of the United States - 1881
...student through his sight that 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, although we may not make him understand the logical demonstration. We can convince even a child, with...

The Competitor, Τόμοι 1-2

...ara assumed in the proof. 8. Prove that if the square described on one of the siles of a triangle be equal to the sum of the squares described on the other two sides of it, the angle contained by these two sides is a right angle. 4. Prove that if a st aight line be...

The Eclectic Question Book: Designed to Assist Pupils in Reviewing Their ...

Alexander Duncan - 1882 - 155 σελίδες
...geometrical demonstration, that the square described upon the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides? Art. 386. 8. Two sides of a right-angled triangle being given, how do you find the other two? Art....

Gibson's London matriculation guide, by J. Gibson [and others].

1882
...FRS, and BENJAMIN WHXIAMSON, ESQ., MA, FRS 1. If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides, prove that the angle contained by these sides is a right angle. 2. Prove that the quadrilateral formed...

Geometry for schools, comprising books i. and ii. of Euclid, with some ...

EUCLID. - 1883 - 96 σελίδες
...right angles to one another. PROP. 48. THEOR. If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides of it, the angle contained by these two sides is a right angle. Given A ABC having sq. on BC = squares...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 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...

Elementary Geometry: Including Plane, Solid, and Spherical Geometry, with ...

Edward Olney - 1883 - 333 σελίδες
...186. 376. Theorem.—The square described on the hypotenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides. We are to prove that AB 2 = AC' + CB 9 . For, let fall the perpendicular CD, and by (374, 2cl) we have...

The Eclectic School Geometry: A Revision of Evan's School Geometry

Evan Wilhelm Evans - 1884 - 155 σελίδες
...etc. THEOREM XXVI. The square described on the hypotenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides. Let ABC be a triangle rightangled at B. It is to be proved that the square AEDC is equivalent to the sum of the...

The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884
...PROPOSITION 47. THEOREM. The square described on the hypotenuse of a right-angled triangle is equal to the squares described on the other two sides* Let ABC be a right-angled triangle, having the right angle BAC - : it is required to prove that the square described on BC = square on BA + square...




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