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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 figures of Euclid with the enunciations, as printed in Euclid's Elements ... - Page 69
by Euclides - 1840
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 311 pages
...mean 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...figures upon the sides containing the right angle. a 8. 6. b4. 6. c 2. Cor. 20.6 Let ABC be a right angled triangle, having the right angle BAC ; the...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 518 pages
...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...figures upon the sides containing the right angle. Let ABC be a right angled triangle, having the right angle BAC : the rectilineal figure described upon...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pages
...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...figures upon the sides containing the right angle. Let ABC be a right angled triangle, having the right angle BAC : The rectilineal figure described upon...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1819 - 333 pages
...(def. 3. 6.). Which was to be done. PROP. XXXI. THEOR. 5 . In right angled triangles, the rectilineal figure described upon the side opposite to the right...figures upon the sides containing the right angle. Let ABC be a right angled tritnglc, having the right angle BAC : The rectilineal figure described i;pon...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 pages
...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,...figures upon the sides containing the right angle. Let ABC be a right angled triangle, having the right angle BAC : The rectilineal figure described upon...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1819 - 740 pages
...similar to another riven. Prop. XXX. Prob. To cut a given straight line in extreme and mean ratio. and similarly described figures upon the sides containing...right angle. Prop. XXXII. Theor. If two triangles which have two sides of the one proportional to two sides of the other, be joined at one angle, so...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 372 pages
...done. THEOREM. In right angled triangles, the rectilineal figure described upon the tide opjiosile to the right angle, is equal to the similar and similarly...figures upon the sides containing the right angle. Let ABC be a right angled triangle, having the right angle ВАС: The rectilineal figure described...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1826 - 320 pages
...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 angled triangle, having...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 513 pages
...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 angled triangle, having the right...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1829 - 516 pages
...C (3. 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...figures upon the sides containing the right angle.* Let ABC be a right angled triangle, having the right angle BAC ; the rectilineal figure described upon...
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