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" In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. "
A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ... - Side 75
av Euclides - 1874
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...its angles right ani'les. Prop. 47. In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. Prop. 48. If the square described upon one of the sides...
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First Practical Lines of Geometrical Drawing ...

J. F. H. de Rheims - 1865 - 169 sider
...one another. Prop. 47. — Theorem. In any right angled trinngle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. EUCLID, BOOK III. Prop. 3. — Theorem. If a straight...
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Peter Parley's Annual: A Christmas and New Year's Present for Young People..

William Martin - 1866
...shown in the problems below. In any right-angled triangle, the square described on the side opposite the right angle is equal to the squares described on the sides containing the right angle, taken together. Let ABC be a triangle, whose angle ABC is a right one,...
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Examination papers collected by A. Clark as a student and as an examiner

1867
...together equal to two right angles. 7. In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the...described on the sides which contain the right angle. [Turn over. 8. Divide a given straight line into two parts, so that the rectangle contained by the...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 sider
...right angles. PEOPOSITION 47. THEOREM. In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the...squares described on the sides which contain the right H Let ABC be a right-angled triangle, having the right angle BA C : the square described on the side...
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The Edinburgh university calendar

Edinburgh univ - 1868
...the major axis. 24^/4 March 1868. 1. In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides containing the right angle. 2. The sum of the squares of the diameters of any parallelogram...
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Elementary Geometry, Volum 1

James Maurice Wilson - 1868
...In any right-angled triangle the square on the hypothenuse is equivalent to the sum of the squares on the sides which contain the right angle. Let ABC be a triangle right-angled at B. Then will AC* = AB* + BC\ On AB, BC, CA describe the squares ADEB, BFGC,...
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A complete treatise on practical land-surveying

Anthony Nesbit - 1870
...the triangle ABC is equal to the triangle DEC (Euc. i. 37 ; Simp. ii. 2 ; Em. ii. 10). THEOREM VII. Let ABC be a right.angled triangle, having the right angle BAC ; the square of the side BC is equal to the sum of the squares of the sides AB and AC (Euc. L 47; Simp. ii. 8; Em....
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1871 - 58 sider
...square described on the ny^ fcthenuse is equivalent to the sum of the squares on the othet tws sides. Let ABC be a right-angled triangle, having the right angle BAC ; the square described upon the side BC is equivalent to the sum of the squares upon BA, AC. On BC describe ihs square BCED,...
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The National Schoolmaster, Volumer 7-8

1877
...perimeter of the quadrilateral. 2. In any right angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. Algebra. 1. Find the GCM of 9 ax* y* and 15 a2 xz ; also...
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