 | Robert Potts - 1868 - 434 pages
...upon the sides AB, A C. Therefore, in any right-angled triangle, &c. QED PROPOSITION XLVin. THEOREM. If the square described upon one of the sides of a...equal to the squares described upon the other two tide* of it ; the angle contained by these two sides it a right angle. Let the square described upon... | |
 | Schools inquiry commission - Education - 1868 - 532 pages
...share being 7/. 10s. Orf. 5. A is twice, and В is just one and a half times as good a workman as C. 1. If the square described upon one of the sides of a...triangle be equal to the squares described upon the two other sides of it, then the angle contained by those two other sides is a right angle. 2. А В... | |
 | Schools inquiry commission - Education - 1868 - 682 pages
...trouvons pas notre repos en nous-mêmes il Test inutile de le chercher ailleurs. 30 100 1. If thé square described upon one of the sides of a triangle be equal to the squares described upon the two other sides of it, then the angle contained by those two other sides is a right angle. 5 2. А... | |
 | Woolwich roy. military acad - 1868 - 426 pages
...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... | |
 | Euclides - 1871 - 136 pages
...equal to the difference between the squares on the segments of the base. PROPOSITION XLVIII. THEOREM. If the square described upon one of the sides of a...the other two sides of it, the angle contained by those sides is a right angle. £ 0 Let the sq. on BC, a side of A ABC, be equal to the sum of the sqq.... | |
 | Edinburgh univ - 1871 - 392 pages
...line perpendicular to a given straight line, of an unlimited length, from a given point without it. 2. If the square described upon one of the sides of a triangle is equal to the square described upon the other two sides of it; the angle contained by these two sides... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...equal to the difference between the squares on the segments of the base. PROPOSITION XL VI II. THEOREM. If the square described upon one of the sides of a triangle be equal to the squares described upon tfte other two sides of it, the angle contained by those sides is a right angle. BC Let the sq. on... | |
 | Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...the sum of the parallelograms ALMD and LBEM ; that is, to the whole square ABED. PBOPOSITION XLVIII. If the square described upon one of the sides of a triangle bo equal to the sum of the squares described upon the other two sides, the angle contained by these... | |
 | Euclides - 1874 - 342 pages
...upon the sides AB, AC. Therefore, in any right-angled triangle, &c. QED PROPOSITION 48.— Theorem. If the square described upon one of the sides of a...angle contained by these two sides is a right angle. Let the square described upon BC, one of the sides of the triangle ABC, be equal to the squares upon... | |
 | Edward Atkins - 1874 - 426 pages
...upon the sides BA, AC. Therefore, in any right-angled triangle, &c. Q- ED Proposition 48. — Theorem. If the square described upon one of the sides of a...angle contained by these two sides is a right angle. Let the square described upon BC, one of the sides of the triangle ABC, be equal to the squares described... | |
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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. 
