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Βιβλία Βιβλία 61 - 70 από 180 για The square described on the hypothenuse of a rightangled triangle is equal to the....
" The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides. "
A Theoretical and Practical Arithmetic: Designed for Common Schools and ... - Σελίδα 203
των Daniel Leach - 1853
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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...

A Treatise on Special Or Elementary Geometry: An advanced course in geometry

Edward Olney - 1872 - 84 σελίδες
...PYTHAGOREAN PROPOSITION. 668. 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. Fio. 372. 1st METHOD.—Let ABC be the given triangle, and ACED the square described on the hypotenuse....

Treatise on Plane and Solid Geometry: For Colleges, Schools, and Private ...

Eli Todd Tappan - 1873 - 276 σελίδες
...AB + AC + 2ACXAD. 413. Corollary — If the square described on one side of a triangle is equivalent to the sum of the squares described on the other two sides, then the opposite angle is a right angle. For the last two theorems show that it can be neither acute...

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

William Chauvenet - 1872 - 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. ia a Let the triangle ABC be right angled at C; then, the square AH, described upon the hypotenuse,...

A Treatise on Special Or Elementary Geometry, Τόμοι 1-2

Edward Olney - 1872
...compared? 346. COR. 3. — 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. DEM.— From Oar. 1, AC* = AB x AD and also CB* = AB x DB. Therefore, adding, AC* + CB* =AB (AD + DB)...

A Treatise on Special, Or Elementary Geometry

Edward Olney - 1872 - 239 σελίδες
...346. COR.. 3. — .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. DEM.— From Cor. 1, AC" = AB x AD and also CBa = AB x DB. Therefore, adding, AC4 + CB =AB (AD + DB)...

New Elementary Geometry: Ith Practical Applications; a Shorter Course Upon ...

Benjamin Greenleaf - 1873 - 176 σελίδες
...EQ THEOREM IX. 195. 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 M triangle, having the right angle at A . then the square described on the...

Elements of Geometry and Trigonometry: From the Works of A.M. Legendre

1874 - 455 σελίδες
...proved. c PROPOSITION XI. THEOREM. 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 SO* = AS2 + AC2. Construct the square BG on...




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