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" IN right angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal to the similar and similarly described figures upon the sides containing the right angle... "
The Constructive arithmetic - Seite 379
von James A. Christie - 1865
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The Popular Educator, Bände 5-6;Band 14

1867 - 878 Seiten
...angle, ie, 90°, the space enclosed by a square constructed upon that side of the triangle opposite the right angle is equal to the sum of the two squares constructed upon tho other two sides respectively. Lot ABC (Fig. 5) bo a right-angled triangle, of...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 Seiten
...ratio in Cf. Which was to be done. PROP. XXXI. THEOR. IN right angled triangles the rectilineal figure described upon %the side opposite to the right angle is equal to the similar and similarly described figures upon the sides containing the right angle. a 8. 6. b4. 6. c...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 Seiten
...to be done. PROP. XXXI. THEOR. IN right angled triangles, the rectilineal figure des- See N cribed upon the side opposite to the right angle is equal to the similar and similarly described figures upon the sides containing the right angle. Let ABC be a right...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 Seiten
...D*f. 6. *• PROP. XXXI. PROB. IN right angled triangles, the rectilineal figure de- see N. scribed upon the side opposite to the right angle, is equal to the similar and similarly described figures upon the sides containing the right angle. Let ABC be a right...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 Seiten
...3. 6.). Which was to be done. PROP. XXXI. THEOR. In right angled triangles, the rectilineal figurt described upon the side opposite to the right angle, is equal to the similar, and similarly described figures upon the sides containing the right angle. Let ABC be a right...
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The new practical gager

Matthew Iley - 1820 - 512 Seiten
...are both rightangled. But Euclid, in the 47th proposition of his First Book, has demonstrated^that the square described upon the side opposite to the right angle, is, in every right-angled triangle, equal to the sum of the squares described upon the sides containing...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 326 Seiten
...Whieh was to be. done. ^ PROP. XXXI. THEOR. In right angled triangles, the reetilineal figure deSeribed upon the side opposite to the right angle, is equal to the similar, and similarly deseribed figures upon the sides eontaining the right angle. Let ABC be a right...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 Seiten
...done. * 3 Def. fiPROP. XXXI. THEOR. In right angled triangles, the rectilineal Jigure described See N. upon the side opposite to the right angle, is equal to the similar and similarly described Jigurcs upon the sides containing the right angle. Let ABC be a right...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1829 - 548 Seiten
...def. 6.). Which was to be done. PROP. XXXI. THEOR. IN right angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal to the similar and similarly described figures upon the sides containing the right angle.* Let ABC be a right...
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Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - 1833 - 168 Seiten
...angle. Let ABC be a triangle having the right angle BAG. The square described on the side BC which is opposite to the right angle, is equal to the sum of the squares described on the sides BA, AC, between which is the right angle. On BC describe* the square...
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