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" If the square described upon one of the sides of a triangle, be equal to the squares described upon the other two sides of it; the angle contained by these two sides is a right angle. "
The first book of Euclid's Elements, simplified, explained and illustrated ... - Page 109
by Euclides - 1847
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pages
...upon the sides AB, AC. Therefore, in any right-angled triangle, &c. QED PROPOSITION XLVIII. THEOREM. If the square described upon one of the sides of a...equal to the squares described upon the other two tides of it; the angle contained by these two sides is a right angle. Let the square described upon...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...the sides AB, AC. Therefore, in any right-angled triangle, &c. QE a. PROPOSITION' XLVIII. THEOREM. If the square described upon one of the sides of a...equal to the squares described upon the other two iides of it ; the angle contained bg thrie tiro sides is a right angle. Let the square described upon...
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Report on Education in the Parochial Schools of the Counties of Aberdeen ...

Simon Somerville Laurie - Dick bequest for elevating the character and position of the parochial schools and schoolmasters in the counties of Aberdeen, Banff and Moray - 1865 - 432 pages
...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...angle contained by these two sides is a right angle. 3. If a straight line be divided into two equal and also into two unequal parts ; the squares of the...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...upon the sides BA, AC. Therefore, iu any right-angled triangle, &o. * QED PROP. XLVIII.— THEOREM. If the square described upon one of the sides of a triangle, be equal te the squares described upon the other two sides of it ; then the angle contained by tnese two sides...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1866 - 336 pages
...the third angle of the one to the third angle of the other. 3. If the square described upon one side of a triangle be equal to the squares described upon the other two sides, these two sides contain a right angle. 4. Find a point in a straight line which shall be equally distant...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...XLVIII. THEOREM. Jf the nyueire described upon one of tlie sides of a triangle, be equal to the square» described upon the other two sides of it ; the angle contained by the3e two sides i3 a rigid angle. Let the square described upon BC, one of the sides of the triangle...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - Geometry - 1855 - 350 pages
...their third side* will also be equal, and the triangles will be identical. PROP. XLVIII. THEOR. If tfie square described upon one of the sides of a triangle, be equal to M» squares described upon the other two sides of it ; the angle contained by these turn sides is a...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...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. Let the square...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...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. Let the square...
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Willis's Current notes

Willis's Current notes - Education - 1868 - 804 pages
...Draw through a given poiut, a straight line parallel to a given straight line ? 2. Prove that if a square described upon one of the sides of a triangle...squares described upon the other two sides of it, the angles contained by these sides is a right angle ? 3. Divide a right angle into three equal parts ?...
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