 | John Playfair - Mathematics - 1806 - 320 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... | |
 | Robert Simson - Trigonometry - 1806 - 546 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... | |
 | Euclides - 1816 - 588 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... | |
 | John Playfair - Circle-squaring - 1819 - 350 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... | |
 | John Playfair - 1819 - 354 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... | |
 | John Mason Good - 1819 - 800 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... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 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... | |
 | Euclid, John Playfair - Euclid's Elements - 1826 - 326 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... | |
 | Robert Simson - Trigonometry - 1827 - 546 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... | |
 | Euclid, Robert Simson - Geometry - 1829 - 548 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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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... 
