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" In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the sum of the squares described on the sides which contain the right angle. "
Elementary Plane Geometry: Inductive and Deductive - Página 68
por Alfred Baker - 1903 - 144 páginas
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Practical Surveying: A Text-book for Students Preparing for Examinations Or ...

George William Usill - 1889 - 306 páginas
...— Perhaps it may be better to refer to the 47th proposition of Euclid, which states the theorem : " In any right-angled triangle, the square which is...subtending the right angle is equal to the sum of the squares described on the sides which contain the right angle " (Fig. 151). By this proposition the...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889 - 356 páginas
...respectively in D and E : prove that if the triangles BCE, ACB are equal D is the middle point of AB. 3. In any right-angled triangle, the square which is...the side subtending the right angle is equal to the squares described on the sides which contain the right angle. If the squares on the first and third...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 páginas
...given straight line, and having an angle equal to a given rectilineal angle. PROPOSITION 47. THEOREM. In any right-angled triangle, the square which is...the side subtending the right angle is equal to the squares described on the sides containing the right angle. Let ABC be a rt. -angled A, having the rt....
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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - 1890 - 144 páginas
...intersections of the circle with the cutting line. 7. In any right-angled triangle, any rectilineal figure described on the side subtending the right angle is equal to the similar and similarly described figures on the sides containing the right angle. 8. The angles of a...
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Rider Papers on Euclid (books I. and II.)

Rupert Deakin - 1891 - 102 páginas
...an angle equal to a given rectilineal angle. 46. To describe a square on a given straight line. 47. In any right-angled triangle, the square which is...the side subtending the right angle is equal to the squares described on the sides containing the right angle. 48. If the square described on one of the...
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Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Department of Education - 1893 - 800 páginas
...together greater than its two diagonals taken together. 3. (a) In any right angled triangle the square described on the side subtending the right angle is equal to the sum of squares described on sides containing the right angle. (6) If the diagonals of a quadrilateral cut...
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Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Department of Education - 1893 - 806 páginas
...together greater than.its two diagonals taken together. 3. (a) In any right angled triangle the square described on the side subtending the right angle is equal to the sum of squares described 011 sides containing the right angle. (b) If the diagonals of a quadrilateral cut...
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Calendar, for the Year ...

1897 - 154 páginas
...PN, QN make equal angles with LM. 5. Shew that, in any right-angled triangle, any rectilineal figure described on the side subtending the right angle is equal to the similar and similarly described figures on the sides containing the right angle. 6. From the foot of...
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Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 362 páginas
...Therefore it is a square. And it is described on the given straight line AB. PBOPOSITION 47. THEOREM In any right-angled triangle the square which is described...the side subtending the right angle is equal to the squares described on the sides which contain the right angle. Let ABC be a right-angled triangle, having...
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Report of the Department of Education for the Year ...

Manitoba. Department of Education - 1900 - 558 páginas
...perpendiculars from two vertices of a triangle on the opposite sides are equal, the triangle is isosceles. 5. In any right-angled triangle the square which is described...subtending the right angle is equal to the sum of the squares described on the sides which contain the right angle. Show how any two given squares may be...
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