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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 ... - Side 50
av Euclid, Isaac Todhunter - 1867 - 400 sider
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 sider
...PROP. XLVII. THEOR. GEN. ENUN. — 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. PART. ENUN. — Let ABC be a rt. Zd A, having the rt....
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Instructions for the use of the slide-rule, applied to computations relating ...

John EWART (Land Surveyor.) - 1847 - 108 sider
...prop, of 1st book of Euclid, that, "in any right-angled triangle, the square which is desciibed upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle." By which theorem, the hypothenuse, or side subtending...
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Scholarship examinations of 1846/47 (-1853/54).

Bengal council of educ - 1848 - 394 sider
...application of the test of geometrical equality. 23. In a right-angled triangle, the square described upon the side subtending the right angle is equal to the squares described upon the sides containing it. Why is the 'geometrical equality of the figures not determined in the...
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The English Journal of Education, Volum 2

1848 - 542 sider
..." Tate's Geometry," &c. p. 33. 3. 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.— See " Bell's Euclid," prop. 47, book i. j or " Tate's...
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Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848 - 390 sider
...parallels are equal to one another. 3. 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. SECTION III. 1. If a straight line be divided into two equal...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 sider
...right angles. PROP. XLVII. THEOREM. 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. XLVIII. THEOREM. BOOK II. DEFINITIONS. I. EVERY...
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Elements of Geometry and Conic Sections

Elias Loomis - 1849 - 252 sider
...square described on the hyfothenuse is equivalent to the sum of the squares on the other t>M, sides. i 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 the square BCED,...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 sider
...right angles. PROP. XLVII. THEOR. 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. Let ABC be a right angled triangle having the right angle...
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Minutes of the Committee of Council on Education, Volum 1

Great Britain. Committee on Education - 1850 - 790 sider
...given straight line. 3. Show that in any risht-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. Section 3. 1. If a straight line be divided into any...
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The Principles of the Solution of the Senate-house 'riders,' Exemplified by ...

Francis James Jameson - 1851 - 144 sider
...which is absurd. Therefore CE = ED. 1851. (A}. In any right-angled triangle, the square described upon the side subtending the right angle is equal to the...described on the sides which contain the right angle. (l. 47.) (B). If ABC be a triangle whose angle A is a right angle, and BE, CF be drawn bisecting the...
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