| Robert Simson - 1827 - 513 sider
...&c. Q. 1;. ./1. COROLLARY. — Hence every equilateral triangle is also equiangular. PROP. VI. THEOR. **If two angles of a triangle be equal to one another,...to, the equal angles, shall be equal to one another.** Let ABC be a triangle having the angle ABC equal to the angle ACB : the side AB shall be equal to the... | |
| Euclid, Robert Simson - 1829 - 516 sider
...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... | |
| Euclides - 1834
...ED COROLLARY. — Hence, every equilateral triangle is also equiangular. PROPOSITION VI. THEOR. — **If two angles of a triangle be equal to one another, the sides also which subtend, or are opposite** Xo, the equal ungles, shall be equal to one another. For if AB be not equal to AC, one of them is greater... | |
| Robert Simson - 1835 - 513 sider
...the base" &c. QED COROLLARY. Hence every equilateral triangle is also equiangular. PROP. VI. THEOR. **If two angles of a triangle be equal to one another,...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 - 513 sider
...the base," &c. QED COROLLARY. Hence every equilateral triangle is also equiangular. PROP. VI. THEOR. **If two angles of a triangle be equal to one another, the sides also** ii'hich subtend, or are opposite to, the equal angks, shall be equal to one another. 4 Book I. Let... | |
| 1835
...of a triangle be equal to one another, the opposite angles shall be likewise r.qual: and conversely, **if two angles of a triangle be equal to one another, the** opposite sides shall be likewise equal. Let А В С be an isosceles triangle, having the side AB equal... | |
| John Playfair - 1836 - 114 sider
...Which was to be proved. COR. Hence, every equilateral triangle is also equiangular. PROP. VI. THEOR. **If two angles of a triangle be equal to one another,...to, the equal angles, shall be 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... | |
| 1836 - 472 sider
...other side of the base shall also be equal. COR. Every equilateral triangle is also equiangular. VI. **If two angles of a triangle be equal to one another, the sides** which subtend, or are opposite to them, are also equal to one another. VII. Upon the same base, and... | |
| Euclides - 1837 - 88 sider
...AFC that BF = CG, . ,. ( Z BCF = Z CBG, U«dZBCG= ZCBF, that Z ABC = Z BCA. PROPOSITION VI. Theorem. **If two angles of a triangle be equal to one another,...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... | |
| Charles Reiner - 1837 - 215 sider
...[is perpendicular to,] to the base. 9. If a triangle be equilateral, it is likewise equiangular. 10. **If two angles of a triangle be equal to one another, the sides** opposite to them are likewise equal ; that is, the triangle is isosceles. 11. If a triangle be equiangular,... | |
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