 | John Playfair - Circle-squaring - 1819 - 350 pages
...was to be done. PROP. XXXI. THEOR. 5 . In right angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal...containing the right angle. Let ABC be a right angled tritnglc, having the right angle BAC : The rectilineal figure described i;pon BC is equal to the similar,... | |
 | John Playfair - 1819 - 354 pages
...the side subtending the right angle, is equal to the squares described upon 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 squares described upon BA, AC. On BC describe (46.... | |
 | 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...be a right angled triangle, having the right angle ВАС: The rectilineal figure described upon BC is equal to the similar, and similarly described figures... | |
 | 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... | |
 | Euclides - 1826 - 226 pages
...angled triangle a perpendicular be drawn the perpendicular are similar to the whole and to one another. Let ABC be a right angled triangle, having the right angle BAC, and from A draw AD perpendicular to вс; then each of them ABD, ADC, is similar to the whole and to... | |
 | Euclid - 1826 - 234 pages
...to the base, the triangles made by 'the perpendicular are similar to the whole and to one another. Let ABC be a right angled triangle, having the right angle BAC, and from A draw AD perpendicular to вс; then each of them ABD, ADC, is similar to the whole and to... | |
 | 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... | |
 | John Playfair - Geometry - 1829 - 210 pages
...hypothenuse, the two triangles on each side of it are similar to the whole triangle and to each other. Let ABC be a right angled triangle, having the right angle BAC, and from the point A let AD be drawn perp. to the hypothenuse BC; the triangles ABD, ADC are similar... | |
 | John Playfair - Euclid's Elements - 1832 - 358 pages
...was to be done. PROP. XXXI. THEOR. Inright angled triangles, the rectilineal figure described vpon the side opposite to the right angle, is equal to...the right angle. Let ABC be a right angled triangle, haying the right angle BAG: The rectilineal figure described upon BC is equal to the similar, and similarly... | |
 | John Playfair - Euclid's Elements - 1833 - 346 pages
...the side subtending the right awgZe, is equal to the squares described up. on the sides which contain the right angle. Let ABC be a right angled triangle having the right angle BAC 5 the square described upon the side BC is equal to the squares described upon BA, AC. On BC describe... | |
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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. 
