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" If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides, the angle contained by these two sides is a right angle. "
Reports on Elementary schools - Page 808
by Her MAjesty' Inspectors of schools - 1850
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The Elements of geometry [Euclid book 1-3] in general terms, with ..., Part 3

Euclides - 1821
...side is the same.. For it is the O2 of the perpendicular. ,. • PROP. 48. TIIEOR. Jf the square of one side of a triangle be equal to the sum of the squares of the other troo sides, the angle opposite to that side is a right angle. From the vertex of this...
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Elements of arithmetic, algebra and geometry

George Lees - Algebra - 1826 - 207 pages
...triangle, SeC. QED Cor. If the square described upon one of the sides of a triangle, be equivalent to the sum of the squares described upon the other two sides, the angle contained by these twq sides is a right angle. ELEMENTS OF GEOMETRY. BOOK II. DEFINITIONS....
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The Geometrical Companion: In which the Elements of Abstract Geometry are ...

George Darley - Geometry - 1828 - 169 pages
...calculations ; which calculations, however, depend on the principles of Geometry and Trigonometry. AHT. 132. " If the square described upon one side of a triangle be equal to the squares described on the other sides of the triangle, taken together, the angle opposite to thejirstmentioned...
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Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - Geometry - 1829 - 129 pages
...polygon. 108. THEOKEM. — The square described upon the hypothenuse of a right triangle is equivalent to the sum of the squares described upon the other two sides. This is the celebrated proposition, with the discovery of which Pythagoras is said to have been so...
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Elements of Geometry Upon the Inductive Method

James Hayward - Geometry - 1829 - 172 pages
...c8, that is — The square described upon the hypothenuse of a right-angled triangle, is equivalent to the sum of the squares described upon the other two sides. 173. We may demonstrate this truth from the areas immediately, without referring the lines to numbers,...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 272 pages
...to the turn of the squares of the sides which contain that angle : and conversely, if the square of one side of a triangle be equal to the sum of the squares of the other two sides, the angle contained by these two sides shall be a right angle. Let AB С be...
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A Collection of Cambridge Mathematical Examination Papers: Papers in the ...

John Martin Frederick Wright - Astronomy - 1831
...cycloid. TRINITY COLLEGE, MAY 1828. 1 . IP the square described upon one of the sides of a triangle is equal to the sum of the squares described upon the other two ; the angle contained by these two is a right angle. 2. In a given circle to inscribe a triangle equiangular...
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The first six books of the Elements of Euclid: with notes

Euclid, Thomas Elrington - Geometry - 1833 - 183 pages
...Fig. 71. PROP. XLVIII. THEOR. Fig. 72. If the square described upon one side (AC] of a triangle (ABC) be equal to the sum of the squares described upon the other two sides (AB andBC), the angle (ABC) opposite to that side is a right angle. 1 i ) SchoL From the point B draw...
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Mathematics for Practical Men

Olinthus Gregory - 1833 - 427 pages
...square of the hypothenuse is equal to the sum of the squares of the two sides. 17. If the square of one side of a triangle be equal to the sum of the squares of the other two sides ; then the angle comprehended by them is a right angle. 18. If an angle A, of...
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Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - Euclid's Elements - 1833 - 150 pages
...was to be demonstrated. PROPOSITION XLVIII. THEOREM. — If the square described on one of the sides of a triangle, be equal to the sum of the squares described on the other two sides of it; the angle made by those two sides is a right angle. Let ABC be a triangle,...
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