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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. "
Gradations in Euclid : books i. and ii., with an explanatory preface [&c ... - Page 142
by Euclides - 1858
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Euclidian Geometry

Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...it may be proved that the O QC is = the square on RQ; PROPOSITION XXXVI. 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 those sides is a right angle. a Let the square...
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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874 - 120 pages
...hypotenuse is equal to the area of the other two. PROPOSITION 48. THEOREM. If the square described on one of the sides of a triangle be equal to the squares- described on the ether two sides of it, the angle contained by these two sides is a right anylc. j Let the square...
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Recent Military, Naval, and Civil Service Examination Papers in Mathematics ...

Braithwaite Arnett - 1874 - 130 pages
...angles of a quadrilateral is half the sum of the two remaining angles. 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 is a right angle. 6. If any point...
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The Teachers' assistant and pupil teachers' guide, Volume 1

1876 - 400 pages
...straight line drawn through E to meet the two lines will be bisected in that point. 2. If the square described upon one of the sides of a triangle be equal...the other two sides of it, the angle contained by these two sides is a right angle. ALGEBRA.— 1. Find the value of (2 + Sx + ix*)* - (2 - 2x + 3x*)>...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 pages
...Straight lines which are parallel to the same straight line are parallel to each other. 2. If the square described upon one of the sides of a triangle be equal...the other two sides of it, the angle contained by these two sides is a right angle. What is the converse proposition ? Algebra.— 1. Show that 1 + x...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...Therefore, in any right-angled triangle, &c. QED Proposition 48. — Theorem. If the square described vpon one of the sides of a triangle be equal to the squares...the other two sides of it, the angle contained by these two sides is a right angle. Let the square described upon BC, one of the sides of tho triangle...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1876 - 382 pages
...difference between the squares on the segments of the base. PROPOSITION XLVIII. THEOREM. If the tquare described upon one of the sides of a triangle be equal to the squares described upon the ottter two sides of itt the angle contained by those sides is a right angle. 0 Let the sq. on BC, a...
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Examination Christmas,1875

Education Department,London - 1876 - 1010 pages
...interior angles of every triangle are together equal to two right angles. 2. 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 angles contained by these two sides is a right angle. If a square...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...AB, AC. Therefore, in any right-angled triangle, &c. UED PROPOSITION XLVIH. THEOREM. If the square described upon one of the sides of a triangle, be equal to thf squares described upon the other two sides of it ; the angle contained by (kite two tides it a...
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Solutions to the mathematical examination papers set for admission to the ...

D. Tierney - 1877 - 126 pages
...parallel straight lines towards the same parts, are also themselves equal and parallel. 4. If the square described upon one of the sides of a triangle be equal...the other two sides of it, the angle contained by these two sides is a right angle. 5. The diameter С A of the parallelogram AB CD is produced through...
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