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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. "
First principles of Euclid: an introduction to the study of the first book ... - Side 140
av T S. Taylor - 1880
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 sider
...Therefore, in any right-angled triangle, &c. QED PROPOSITION 48.— THEOREM. 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. (References—...
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Responsions

University of Oxford - 1863 - 328 sider
...triangle, and have one of its angles equal to a given rectilineal angle. 7. 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. 8. If a straight...
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Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., Volum 2

Robert Potts - 1863 - 482 sider
...two sides of it, the angle contained by these two sides is a right angle. If the equilateral triangle described on one of the sides of a triangle be equal to the equilateral triangles described on the other two sides of it, the angle contained by these two sides...
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Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863 - 74 sider
...the earth's curvature. PKOP. 48.— THKOH. — (Converse of the 4~th.) If the squares described upon one of the sides of a triangle be equal to the squares described upon the other two sides oj it ; the angle contained by the two sides is a rt. angle. Con.— P. 11,...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 sider
...in any right-angled triangle, &c. QE a. PROPOSITION' XLVIII. THEOREM. If the square described upon one of the sides of a triangle, be 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...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 sider
...squares described upon the sides which contain the right angle. Prop. 48. 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 con tained i,y these two sides L, a right angle. GEOMETRICAL...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 424 sider
...described on the sides BA, AC. Wherefore, in any right-angled triangle &c. QED PROPOSITION 48. THEOREM. If the square described on one of the sides of a triangle...the other two sides of it, the angle contained by these two sides is a right angle. Let the square described on BC, one of the sides of the triangle...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 sider
...described on the sides BA, AC. Wherefore, in any right-angled triangle &c. QED PKOPOSITION 48. THEOREM. If the square described on one of the sides of a triangle...the other two sides of it, the angle contained by these two sides is a right angle. Let the square described on BC, one of the sides of the triangle...
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Examination papers collected by A. Clark as a student and as an examiner

1867 - 224 sider
...given straight lines ? ^, t, > , what condition is necessary ? 8. If the square described on one side of a triangle be equal to the squares described on the other two sides, the angle contained by those two sides is a right angle. 9. Define rectangle ; gnomon. '••/£:...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1868 - 426 sider
...that the coefficients continually increase as the series proceeds. 10. If the square described on EC one of the sides of a triangle be equal to the squares described on the other two sides BA, AC, prove that the angle BAG is a right angle. If BDEC is the square described on BC, find the...
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