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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. "
The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ... - Page 37
by Euclides - 1833
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The Squared Circle: Being a Short Treatise, Describing the Manner by which ...

James Bailey Andrews - Circle-squaring - 1884 - 40 pages
...similarly described on the sides of a rightangled triangle (ABC), the figure described on the side (AC) subtending the right angle is equal to the sum of the figures on the other sides." Now, admitting the principle of the above two propositions as proved, I may confidently premise...
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Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884 - 148 pages
...be nine times the given figure in area ? 11. Prove 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. Is this true if all...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 pages
...hypotenuse, or side subtending the right angle, be given instead. From Euclid 47, Book I., the square of the side subtending the right angle is equal to the sum of the squares of the sides containing the right angle. Let ABC be the rightangled triangle, having the right...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - Examinations - 1884 - 154 pages
...have one of its angles equal to a given rectilineal angle. 5. In any right-angled triangle, the square described on the side subtending the right angle is equal to the two squares described on the sides containing the right angle, 6. Any point p is taken in the line...
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The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884 - 214 pages
...angles right angles. 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. In the triangle ABC ; GIVEN that BAC...
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Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term,1885.Volume XIV - 1885 - 652 pages
...parallels, their bases shall be equal to one another. 4. 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. If the diagonals of a quadrilateral are...
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University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885 - 358 pages
...contact. 5. Describe a circle about a given triangle. 6. 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. 7. Divide a given straight line into...
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Annual Report

Canada. Department of the Interior - 1888 - 756 pages
...principle of superposition without using any construction lines. 3. In any right angled triangle the square on the side subtending the right angle is equal to the sum of the squares on the sides containing that angle. 4. Prove the last proposition by showing that the large...
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Practical Surveying: A Text-book for Students Preparing for Examinations Or ...

George William Usill - Surveying - 1889 - 306 pages
...proposition of Euclid, which states the theorem : " 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 " (Fig. 151). By this proposition the...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 356 pages
...be nine times the given figure in area ? n. Prove 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. Is this true if all...
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