 | Euclid, Isaac Barrow - 1732 - Liczba stron: 436
...the given angle B is either acute or obtufe, (for it was a right angle in the foregoing propofition.) Let it be in the firft place acute, and from the point A let AD be drawn perpendicular to BC. Demonfr. Therefore the angle ADB is given : But the angle B is alfo given ; and therefore the third... | |
 | Euclid - 1751 - Liczba stron: 420
...either acute or obtufe, (for it was a right-angle in the foregoing propofition.) Let it be in the firit place acute, and from the point A let AD be drawn...given : But the angle B is alfo given ; and therefore the third angle BAD is given : Wherefore (a) the triangle ABD is given a 40. prop. in kind j and therefore... | |
 | Robert Simson - 1762 - Liczba stron: 488
...perpendicular and the obtufe angle. Let ABC be an obtufe angled triangle, having the obtufe angle ACB, and from the point A let AD be drawn • perpendicular to BC produced, the fquare of AB is greater than the fquares of AC, CB by twice the rectangle BC, CD. Becaufe... | |
 | Euclides - 1816 - Liczba stron: 588
...perpendicular and the obtuse angle. : ABC be an obtuse angled triangle, having the obtuse angle ACS, and from the .point A. let AD be drawn" • perpendicular to BC produced : The square of AB is greater than the squares of AC, CB, by twice the rectangle BC, CD. Because... | |
 | Robert Simson - 1827 - Liczba stron: 546
...perpendicular and the obtuse angle. Let ABC be an obtuse angled triangle, having the obtuse angle ACB, and from the point A let AD be drawn* perpendicular to BC produced : the square of * 12. 1. AB shall be greater than the squares of AC, CB by twice the rectangle... | |
 | Andrew Bell - 1837 - Liczba stron: 290
...perpendicular and the obtuse angle. Let ABC be an obtuse-angled triangle, having the obtuse angle ACB, and from the point A let AD be drawn perpendicular to BC produced (1. 12) ; the square of AB is greater than the squares of AC, CB, by twice the rectangle BC-CD.... | |
 | Euclides - 1838 - Liczba stron: 264
...perpendicular and the obtuse angle. Let ABC be an obtuse angled triangle, having the obtuse ,12 1 angle ACB, and from the point A let AD be drawn* perpendicular to BC produced : the square of AB shall be greater than the squares of AC, CB, by twice the rectangle BC-CD.... | |
 | Euclides - 1841 - Liczba stron: 378
...intercepted without the triangle between the perpendicular and the obtuse angle. obtuse angle ACB, and from the point A let AD be drawn* perpendicular to BC produced: the square of* 12 . 1. AB shall be greater than the squares of AC, CB, by twice the rectangle... | |
 | Euclides - 1845 - Liczba stron: 546
...perpendicular and the obtuse angle. Let ABC be an obtuse-angled triangle, having the obtuse angle ACB, and from the point A let AD be drawn perpendicular to BC produced. Then the square of AB shall be greater than the squares of AC, CB, by twice the rectangle... | |
 | Euclides - 1846 - Liczba stron: 292
...perpendicular and the obtuse angle. Let ABC be an obtuse-angled triangle, having the obtuse angle ACB, and from the point A let AD be drawn perpendicular to BC produced : the square of AB is greater than the squares of AC, CB, by twice the rectangle BC, CD. Because... | |
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... which, when produced, the perpendicular falls, and the straight line intercepted, without the triangle, between the perpendicular and the obtuse angle. Let ABC be an obtuse-angled triangle, having the obtuse angle ACB, and from the point A let AD... 
