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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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Report on Education in the Parochial Schools of the Counties of Aberdeen ...

Simon Somerville Laurie - 1865 - 401 σελίδες
...What consequence can be deduced from it, if it be admitted ? 2. If the square described upon one side of a triangle be equal to the sum of the squares described upon the other two sides of it, the angle contained by these two sides is a right angle. 3. If a straight...

Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - 1865 - 444 σελίδες
...b\ THEOREM XXXIX. The 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 righ1>angled triangle, the right angle at B ; we are to prove that the square...

Practical Arithmetic: Embracing the Science and Applications of Numbers

Charles Davies - 1866 - 336 σελίδες
...5, will denote the side. 367. In a right-angled triangle, the square described on the hypothenuse is equal to the sum of the squares described on the other two sides. t. Of 22071204? 14. Of 4.426816? 8. Of 3271.4207? 15. Of 8|? 9. Of 4795.25731 ? 16. Of 9f? 10. Of 4.372594...

Illinois Teacher: Devoted to Education, Science and Free Schools, Τόμος 12

1866
...beautiful I'ythagor'ean theorem, "The square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides." Miss Lizzie Trull and Mr, Allison also deserve especial praise for the ready manner in which they answered...

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

Euclid, Isaac Todhunter - 1867 - 400 σελίδες
...squares described on the sides BA, AC. Wherefore, in any right-angled triangle &c. QED PKOPOSITION 48. THEOREM. 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....

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

Euclid, Isaac Todhunter - 1867 - 400 σελίδες
...squares described on the sides BA, AC. Wherefore, in any right-angled triangle &c. QED PROPOSITION 48. THEOREM. 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....

Outlines of Mathematical Science for the School Room

Charles Davies - 1867 - 168 σελίδες
...individual of the class. For example : " the square on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides," is a proposition equally true of every right-angled triangle : and " every straight line perpendicular...

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...

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...

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....




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