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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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New Elementary Geometry with Practical Applications

Benjamin Greenleaf - 1874 - 176 σελίδες
...E 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 triangle, having the right angle at A ; then the square described on the...

Annual Register of the United States Naval Academy, Annapolis, Md, Τόμοι 25-32

United States Naval Academy - 1874
...sides. 1. Prove that the square described on the hypothenu.se of a right triangle is ci ; ni valent to the sum of the squares described on the other two sides. .">. Prove that a triangular pyramid is one-third of a triangular prism of the samo base and altitnde,...

A Practical Business Arithmetic ...

Lorenzo Fairbanks - 1875
...the third side. 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. COROLLARY. — The square of either side about the right angle is equal to the square of the hypothenuse...

National Teachers' Monthly, Τόμος 2

1875
...• 3. PROPOSITION. 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. 4. PROPOSITION. If the diagonals of a quadrilateral bisect each other the figure is a parallelogram....

Examination Christmas,1875

Education Department,London - 1876
...intersection. 3. Triangles upon equal bases and between the same parallels are equal to each other. 4. 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 nu<rle....

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 σελίδες
...right angles. 4. Triangles on equal bases and between the same parallels are equal to one another. 5. 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 fs a right angle....

Captain Sam, Or, The Boy Scouts of 1814

George Cary Eggleston - 1876 - 212 σελίδες
...that line because I know that the square described on the hypothenusc of a right angled triangle is equal to the sum of the squares described on the other two sides." " Whew ! it fairly takes the breath out of a fellow to hear you rattle that off," replied Sid. " Come,"...

Captain Sam: Or, The Boy Scouts of 1814

George Cary Eggleston - 1876 - 212 σελίδες
...that line because I know 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." " Whew ! it fairly takes the breath out of a fellow to hear you rattle that off," replied Sid. " Come,"...

Ray's New Practical Arithmetic: A Rev. Ed. of the Practical Arithmetic

Joseph Ray - 1877 - 336 σελίδες
...3025. 55. 4. Proposition. — 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. Draw a right-angled triangle, ABC, with the side BC 4 in., and the side AC 3 in.; then, the side AB...

Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1877 - 443 σελίδες
...PROPOSITION XI. THEOREM. In any right-angled triangle the square described on the hypothenuse 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 BAC ; the square described upon the side...




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