 | Thomas Malton - 1774 - 484 pages
...is defcribed on the Side fubtending the Right Angle, will be equal to both the others, defcribed on the Sides containing the Right Angle. Let ABC be a Right angled — - ----- \ Triangle; and, letX, Y, and Z be fimilar, irregular Pentagons, . defcribed on the three Sides, AB, BC, and AC,... | |
 | Robert Simson - 1775 - 534 pages
...the bafe ; the triangles on each fide of it are fimilar to the whole triangle, and to one another. Let ABC be a right angled triangle having the right angle BAC; and from the point A let AD be drawn perpendicular to the bafe BC : The triangles ABD, ADC are fimilar... | |
 | Euclid - 1781 - 552 pages
...the bafe ; the triangles on each fide of it arc firnilar to the whole triangle, and to one another. Let ABC be a right angled triangle, having the right angle BAC ; and from the point A let AD be drawn perpendicular to the bafe BC : The triangles ABD, ADC are fimilar... | |
 | Euclid, James Williamson - 1781 - 324 pages
...fide fubtending the right angle is equal to the figures fimilar and fimilarly defcribed upon the fides containing the right angle. Let ABC be a right angled triangle, having BAC a right angle: Book vi. I fay that the figure defcribed upon BC is equal to the firnilar and "—v—»... | |
 | John Playfair - 1795 - 462 pages
...the fide fubtending the right angle, is equal to the fquares defcribed upon the fides which contain the right angle. Let ABC be a right angled triangle having the right angle BAC ; the fquare defcribed upon the fide BC is equal to the fquares defcribed upon BA, AC.. On BC defcribe a... | |
 | Alexander Ingram - 1799 - 374 pages
...the bafe ; the triangles on each fide of it are fimilar to the whole triangle, and to one another. Let ABC be a right angled triangle, having the right angle BAC ; and from the point A let AD be drawn perpendicular to the bafe BC : The triangles ABD, ADC are fimilar... | |
 | Robert Simson - 1804 - 528 pages
...oppofite to the right angle, is equal to the fimilar, and fimilarly defcribed figures upon the fides containing the right angle, Let ABC be a right angled triangle, having the right angle EAC. the rectilineal figure defcribed upon BC is equal to the fimilar and fimilarly defcribed figures... | |
 | John Playfair, Euclid - 1804 - 468 pages
...the bafe ; the triangles on each fide of it are limilar to the whole triangle, and to one another. Let ABC be a right angled triangle, having the right angle BAC ; and from the point A let AD be drawn perpendicular to the bafe BC : the triangles ABD, ADC are fimilar... | |
 | John Playfair - 1806 - 320 pages
...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...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... | |
 | Euclides - 1816 - 592 pages
...the base ; the triangles on each side of it are similar to the whole triangle, and to one another. Let ABC be a right angled triangle, having the right angle BAC ; and from the point A let AD be drawn perpendicular to the base BC : The triangles ABD, ADC are similar... | |
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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. 
