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" In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. "
The first two books of the Elements of Euclid, with additional figures ... - Pagina 76
door Euclides - 1852
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 pagina’s
...parallelogram that has one right angle has all its angles right angles. PROPOSITION XL VII. THEOR. — In any right-angled triangle, the square which is...be a right-angled triangle having the right angle BAC ; the square described upon the side BC is equal to the squares described upon BA, AC. On BC describe*...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 352 pagina’s
...THEOR. — In any right-angled triangle, the square which is described upon the hypotenuse, that is, the side subtending the right angle, is equal to the...be a right-angled triangle, having the right angle BAC ; the square described upon the hypotenuse BC is equal to the squares described upon BA and AC....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 317 pagina’s
...parallelogram that has one right angle has all its angles right angles. PROP. XLVII. THEOR. In any right angled triangle, the square which is described upon the side...sides which contain the right angle. Let ABC be a right angled triangle having the right angle BAC ; the square described upon the side BC is equal to...
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The London University Calendar

London univ - 1846
...are about the diameter of any .parallelogram are equal. 8. In any right-angled triangle, prove that the square which is described upon the side subtending...described upon the sides which contain the right angle. described upon the two sides are together equivalent to a parallelogram described upon the base, and...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846
...which is described upon the hypothenuse, or side subtending the right angle, is equal to the sum of the squares described upon the sides which contain the right angle. Let ABC be a rt. angled ./^, having the rt. ^. BAC. Then BC* = BA S -f AC 2 . On BC, BA, AC, descr. the squares...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...extreme and mean ratio in CQEF PROP. XXXI. THEOR. In any right-angled triangle, any rectilineal figure described upon the side subtending the right angle is equal to the similar and similarly situated figures upon the sides containing the right angle. Let ABC be a right-angled...
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Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ...

Dennis M'Curdy - 1846 - 138 pagina’s
...AE : : AE : EB, &c., as above (p. 17, 6). 31 Th. In right angled triangles, the rectilineal figure described upon the side subtending the right angle, is equal to the figures similar to it, described upon the sides containing the same angle. Given the triangle ABC,...
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847
...square (Def. 29). Wherefore, if in each of the sides &c.— QED PROP. XLVII. THEOR. GEN. ENUN. — In any right.angled triangle, the square which is...described upon the sides which contain the right angle. PART. ENUN. — Let ABC be a rt. Zd A, having the rt. Z BAC; then the square described upon BC = the...
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Instructions for the use of the slide-rule, applied to computations relating ...

John EWART (Land Surveyor.) - 1847 - 83 pagina’s
...47th prop, of 1st book of Euclid, that, "in any right-angled triangle, the square which is desciibed upon the side subtending the right angle, is equal...described upon the sides which contain the right angle." By which theorem, the hypothenuse, or side subtending the right angle, is equal to the square root...
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Minutes of the Committee of Council on Education, Volume 2

Great Britain. Committee on Education - 1847
...the alternate angles equal to each other, these two straight lines shall be parallel. 3. Show that in any right-angled triangle the square which is described...the side subtending the right angle, is equal to the square described upon the sides which contain the right angle. APPENDIX (E.) TABLES exhibiting the...
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