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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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Chambers's Information for the People, Τόμος 2

William Chambers, Robert Chambers - 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...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...

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

John Playfair - 1842 - 317 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 BAC ; the square described upon the side BC is equal to...

The Freemason's Monitor: Containing a Delineation of the Fundamental ...

Z. A. Davis - 1843 - 312 σελίδες
...friend and b-other, * 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. — Euclid, lib. i. prop. 47. the great Pythagoras, who, in his travels through Asia, Africa and Europe,...

A course of practical geometry for mechanics

William Pease - 1843 - 68 σελίδες
...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." If a third square had been given, a side of it would have been applied from B on BA (produced if necessary,)...

Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 σελίδες
...angles. PROPOSITION XL VII. THEOR. — In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the...the right angle BAC ; the square described upon the side BC is equal to the squares described upon BA, AC. On BC describe* the square BDEC, and on BA,...

Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...to the right angle, is equal to the similar and similarly described fgures upon the sides containing the right angle. Let ABC be a right-angled triangle, having the right angle BA C. The rectilineal figure described upon BC shall be equal to the similar and similarly described...

The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 352 σελίδες
...right-angled triangle, is equal to the similar and similarly described figures upon its other sides. Let ABC be a right-angled triangle, having the right angle BAC : the rectilineal figure E, described upon BC, is equal to F, G-, the similar figures, similarly described...

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

Euclid, John Playfair - 1846 - 317 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 BAC ; the square described upon the side BC is equal to...

The London University Calendar

London univ - 1846
....parallelogram are equal. 8. In any right-angled triangle, prove that 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. described upon the two sides are together equivalent to a parallelogram described upon the base, and...

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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