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" 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. "
Euclid in Greek - Side 236
av Euclid - 1920 - 239 sider
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 sider
...twelfth axiom ? What is its converse ? 5. In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the squares described on the sides which contain the right angle. Prove also by dissection and superposition. 6....
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Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics ...

Samuel H. Winter - 1877 - 452 sider
...two included angles equal to two right angles, the triangles are equal. 3. In a right-angled triangle the square on the side subtending the right angle is equal to the sum of the squares on the sides containing the right angle. Show how to construct a straight line,...
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Complete guide to the certificate and scholarship examinations, by a head ...

J T. Amner - 1878 - 226 sider
...equal to one another. State and prove the converse of this proposition. 4. In any right-angled triangle the square on the side subtending the right angle is equal to the squares described on the sides which contain the right angle. (It may be assumed that a side of each of the...
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The Illustrated History of the British Empire in India and the East ..., Volum 2

Edward Henry Nolan - 1878 - 456 sider
...have here the celebrated proposition that the square on the hypothenuse of a right-angled triangle is equal to the squares on the sides containing the right angle, and other propositions, which form part of the system of modern geometry. There is one proposition...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 sider
...s rt. Z,s. PROPOSITION XLVII. THEOREM. In any right.angled triangle, the square which is described on the side subtending the right angle is equal to the squares described on the sides which contain the right angle. Let ABC be a rt. .angled A, having the rt. L...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 sider
...equal to a given rectilineal angle. 6. In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the squares decribed on the sides which contain the right angle Christmas 1874. MALE CANDIDATES. EUCLID. 1. If...
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Moffatt's scholarship answers, by T.J. Livesey (T. Page).

Moffatt and Paige - 1879 - 378 sider
...proof. The Proposition is Euclid I. 29. 3. In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the squares described on the sid-es which contain the right angle. From tJte middle point of a side of a right-angled...
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First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880 - 152 sider
...definition of a square. General Enunciation. In any right-angled triangle, the square which is described on the side subtending the right angle, is equal to the squares on the sides which contain the right angle. Particular Enunciation. Given. — The right-angled triangle ABC: of...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 sider
...two included angles equal to two right angles, the triangles are equal. 3. In a right-angled triangle the square on the side subtending the right angle is equal to the sum of the squares on the sides containing the right angle. Show how to construct a straight line,...
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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880 - 238 sider
...the sides of a triangle is parallel to the base. 3. In any right-angled triangle the square described on the side subtending the right angle is equal to the squares described on the sides which contain the right angle. SECTION IV. 1. If a straight line be divided...
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