| Thomas Malton - 1774 - 440 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 - Trigonometry - 1775 - 520 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 - 520 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 - Euclid's Elements - 1781 - 309 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 - Euclid's Elements - 1795 - 400 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 - Trigonometry - 1799 - 351 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 - Trigonometry - 1804
...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... | |
| Euclid, John Playfair - Circle-squaring - 1804 - 440 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 - Euclid's Elements - 1806 - 311 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 - 528 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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