| John Playfair - 1819 - 333 sider
...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 - 317 sider
...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 - 1825 - 372 sider
...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 - 1826 - 320 sider
...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
...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 - 180 sider
...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 - 1827 - 513 sider
...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 - 1829 - 186 sider
...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 - 1832 - 333 sider
...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 - 1833 - 333 sider
...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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