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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. "
A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ... - Side 75
av Euclides - 1874
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 sider
...angles. PROPOSITION XL VII. THEOREM. 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. Let ABC be a right-angled triangle having the right angle...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 390 sider
...I. 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 squares described upon the sides which contain the right angle. Let ABC be a right-angled triangle, having the right...
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Remarks on Mathematical Or Demonstrative Reasoning

Edward Tagart - 1837 - 135 sider
...space. If I were asked how I know that in any rightangled 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, my first answer might be, that I knew it by studying...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 88 sider
...square.) PROPOSITION XLVII. ii Theorem. 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. In the construction of the figure it is necessary to...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...which is described upon the side subtending the right angle, is eqnul tu the squares described upon the sides which contain the right angle. Let ABC be a right-angled triangle having the right ungle BAC : the square described upon the side BC shall be equal to the squares described upon BA,...
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An Essay on the Use of the Spirit Level: As Applied to Engineering and Other ...

Thomas Oswald Blackett - 1838 - 106 sider
...to the (Prop. 47, 1st. Book EuclidJ. In any rightangled 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, or, in other words, in all right angled plain triangles,...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 sider
...right angles. PROP. XLVII. THEOR. 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. Let ABC be a right-angled triangle having the BC shall...
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Chambers's information for the people, ed. by W. and R. Chambers, Volum 2

Chambers W. and R., ltd - 1842
...which is described upon the sides subtending the right angle, is equal to the squares described upon the sides which contain the right angle. Let ABC be...having the right angle BAC ; the square, described upon the side BC, is equal to the squares described upon BA, AC ; that is, the square BE is equal to...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...__ described upon the side subtending the right angle, is equivalent to the squares described upon the sides which contain the right angle. Let ABC be...triangle having the right angle BAC: the square described upon the side вc is equivalent to the squares described upon BA, AC. On вc describe (46. 1.) the...
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Chambers's Information for the People, Volum 2

William Chambers, Robert Chambers - 1842
...which is described upon the sides subtending the right angle, is equal to the squares described upon the sides which contain the right angle. Let ABC be a right-angled triangle, having the right angle ВАС ; the square, described upon the side BC, is equal to the squares described upon BA, AC ; that...
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