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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. "
The Elements of Euclid for the Use of Schools and Colleges: Comprising the ... - Page 50
by Euclid, Isaac Todhunter - 1867 - 400 pages
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An Encyclopedia of Freemasonry and Its Kindred Sciences ..., Volume 1

Albert Gallatin Mackey - 1912 - 508 pages
...Master's Degree, is thus enunciated: "In any rightangled 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." Thus, in a triangle whose perpendicular is 3 feet, the...
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Mathematics for Engineers, Volume 1

William Neville Rose - Mathematics - 1920 - 542 pages
...is made in the text — Euc. I. 47. In any right-angled triangle, the square which is INTRODUCTORY 5 described on the side subtending the right angle is...described on the sides which contain the right angle. Euc. III. 35. If two straight lines cut one another within a circle, the rectangle contained by the...
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Report of the Examinations Conducted by the Council of Higher Education ...

Newfoundland Council of Higher Education - 1922 - 204 pages
...when C is on AB produced and BC = AB. 4. In any right-angled triangle, prove that the square which is described on the side subtending the right angle is...described on the sides which contain the right angle. ABCD is a quadrilateral with the directions of AB and CD at right angles. Prove that AC2+BD2 = BC2+AD2....
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The Teaching of Geometry in Schools: A Report Prepared for the Mathematical ...

Mathematical Association - Geometry - 1923 - 88 pages
...angles of the triangle are equal to two right angles. I. 47 : In right-angled triangles the square on the side subtending the right angle is equal to the squares on the sides containing the right angle. II. 1 : If there be two straight lines, and one of them be...
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Dulcarnon

Henry Milner Rideout - 1925 - 248 pages
...joined corner to corner, was nothing but the plain statement : — "In right-angled triangles the square on the side subtending the right angle is equal to the squares on the sides containing the right angle." He waded through the demonstration, shook his head in despair,...
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Mathematics for Engineers ...

William Neville Rose - Mathematics - 1928 - 552 pages
...which reference is made in the text — Euc. I. 47. In any right-angled triangle, the square which is described on the side subtending the right angle is...described on the sides which contain the right angle. Euc. III. 35. If two straight lines cut one another within a circle, the rectangle contained by the...
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The Christian Review, Volume 5

Baptists - 1840 - 708 pages
...of the first book of Euclid; that, "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." Here the whole proof rests solely on a string of similitudes;...
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The Guardian

John Calhoun Stephens - Literary Collections - 840 pages
...no reason to question Bartlett's authorship. 1. "In any right-angled triangle, the square which is described on the side subtending the right angle is...described on the sides which contain the right angle." Though Pythagoras wrote no mathematical treatise, this proposition, commonly called the "Therorem of...
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The Foundations of Geometry and the Non-Euclidean Plane

G.E. Martin - Mathematics - 1997 - 536 pages
...figure. 46. On a given straight line to describe a square. 47. In right-angled triangles the square on the side subtending the right angle is equal to the squares on the sides containing the right angle. 48. If in a triangle the square on one of the sides be equal...
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Annual Report

Saskatchewan. Department of Education - Education - 1910 - 260 pages
...metre. Find the volume of this sphere. GEOMETRY. 1. (a) In any right angled triangle the square which is described on the side subtending the right angle is...described on the sides which contain the right angle. I. 47. (6) If ABC be a triangle whose angle A is a right angle, and BE and OF be drawn bisecting the...
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