 | Euclid, Robert Simson - Geometry - 1829 - 548 pages
...VI. THEOR. IF two angles of a triangle 1)£ equal to one another, the sides also which subtend, t>r are opposite to, the equal angles, shall be equal to one another. Let ABC be a triangle haviug the angle ABC equal to the angle ACB ; the side AB is also equal to the side AC. D For if AB... | |
 | John Playfair - Euclid's Elements - 1832 - 358 pages
...Iftwoanglesnfatrianglebe equal to one another, the sides which subtend, or are opposite to them, are aho equal to one another. Let ABC be a triangle having the angle ABC equal to the angle ACB;the side AB is also equal to the side AC. For, if AB be not equal to AC, one of them is greater... | |
 | John Playfair - Euclid's Elements - 1835 - 336 pages
...angles of a triangle be equal to one another, the sides which subtend, or are opposite to them, are also equal to one another. Let ABC be a triangle having...angle ABC equal to the angle ACB ; the side AB is ateo equal to the side AC. , For, if AB be not equal to AC, one of them is greater than the other:... | |
 | Robert Simson - Trigonometry - 1835 - 544 pages
...every equilateral triangle is also equiangular. PROP. VI. THEOR. If two angles of a triangle be equal to one another, the sides also which subtend, or are opposite to, the equal anyles, shall be equal to one another. Book I. Let ABC be a triangle having the angle ABC equal to... | |
 | Euclid - 1835 - 540 pages
...also ii'hich subtend, or are opposite to, the equal angks, shall be equal to one another. 4 Book I. Let ABC be a triangle having the angle ABC equal to the v<— •v™"' angle ACB ; the side AB is also equal to the side AC. For, if AB be not equal to AC,... | |
 | John Playfair - Euclid's Elements - 1836 - 488 pages
...of a triangle be equal to one another, the sides ichich subtend, or are opposite to them, are also equal to one another. Let ABC be a triangle having...angle ABC equal to the angle ACB ; the side AB is also eclual to the side AC. For, if AB be not equal to AC, one of them is greater b 3 1. than the other... | |
 | John Playfair - Geometry - 1836 - 148 pages
...AB is not unequal to AC, that is, it is equal to it. Wherefore, if two angles of a triangle be equal to one another, the sides also which subtend, or are...to, the equal angles, shall be equal to one another. Which was to be proved. COR. Hence, every equiangular triangle is also equilateral. PROP. VII. THEOR.... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...triangle be equal to one another, the sides which subtend, or are opposite to, those angles, are also equal to one another. Let ABC be a triangle having...also equal to the side AC. For, if AB be not equal to A < '. i one of them is greater than * Through the point A an infinite number of straight lines may... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...CBG, U«dZBCG= ZCBF, that Z ABC = Z BCA. PROPOSITION VI. Theorem. If two angles of a triangle be equal to one another, the sides also, which subtend, or are opposite to, the equal angles, are equal to one another. Note. The nature of the proof of this proposition is different from that... | |
 | Euclides - 1838 - 264 pages
...every equilateral triangle is also equiangular. PROP. VI. THEOR. If two angles of a triangle be n/mil to one another, the sides also which subtend or are...the angle ABC equal to the angle ACB: the side AB shall be equal to the side AC. For, if AB be not equal to AC, one of them is greater than the other:... | |
| |
IF two angles of a triangle be equal to one another, the sides also which subtend, or are opposite to, the equal angles, shall be equal to one another. 
