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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 Six and the Eleventh and Twelfth Books of Euclid's Elements: With ... - Σελίδα 43
των Euclid, James Thomson - 1837 - 390 σελίδες
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 σελίδες
...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...be a right-angled triangle having the right angle BAG ; the square described upon the side BC is equal to the squares described upon BA, AC. BAC, BAG,...

Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 318 σελίδες
...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...sides which contain the right angle. . ( Let ABC be a right angled triangle having the right angle BAG ; the square described upon the side BC is equal to...

Remarks on Mathematical Or Demonstrative Reasoning: Its Connexion with Logic ...

Edward Tagart - 1837 - 135 σελίδες
...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...described upon the sides which contain the right angle, my first answer might be, that I knew it by studying the 47th of the first book of Euclid. But the...

A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 88 σελίδες
...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...described upon the sides which contain the right angle. In the construction of the figure it is necessary to show that GA is on the same right line with AC...

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Euclid, Robert Simson - 1838 - 416 σελίδες
...right angles. PROP. XLVII. THEOR. IN any right angled triangle, the square which is described ' G upon the side subtending the right angle, is equal to the...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...

An Essay on the Use of the Spirit Level: As Applied to Engineering and Other ...

Thomas Oswald Blackett - 1838 - 106 σελίδες
...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...described upon the sides which contain the right angle, or, in other words, in all right angled plain triangles, the sum of the squares of the two short sides...

Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...right-angled triangle, the sqnnre which is described upon the side subtending the right angle, is eqnul tu the squares described upon the sides which contain...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,...

The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 σελίδες
...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...angle. Let ABC be a right-angled triangle having the BC shall be equal to the squares described upon BA, AC. On BC describe* the square BDEC, and on BA,...

Chambers's information for the people, ed. by W. and R. Chambers, Τόμος 2

Chambers W. and R., ltd - 1842
...demonstration, to Euclid himself. In any right-angled triangle, the square which is described upon the sides subtending the right angle, is equal to the squares...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 the two...

Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...right-angled triangle, the square which __ described upon the side subtending the right angle, is equivalent to the squares described upon the sides which contain...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 square BDEC,...




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