| 1867 - 964 pagine
...в together make up the angle r> с в, which is therefore equal to the angles с в А, в A c. 7. The three interior angles of every triangle are together equal to two right anglet. In Fig. 5 the angle BCD has been shown to be equal to the angles с в А, в А с ; to each... | |
| Robert Simson - 1806 - 546 pagine
...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 angles shall be equal to one another. Let ABC be ajriangle having the angle ABC equal to the Book I. . angle ACB ; the side AB is also equal... | |
| Euclides - 1816 - 588 pagine
...VI. THEOR. IF two angles of a triangle be, equal. to one another, the sides also which subtend,xor are opposite to, the equal angles, shall be equal to one another. • ' * — -\ vs " Let ABC be a triangle having the angle ABC equal to Koo* ^ the angle ACB; the side... | |
| Anthony Nesbit, W. Little - 1822 - 916 pagine
...produced to D ; the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC; also the three interior angles of every triangle are together equal to two right angles. (Em. I. 32. Simp. I. 9, 10. Em. IL I, 2 J A C THEOREM V. Let the parallelograms ABCD, DBCEbe... | |
| Peter Nicholson - 1825 - 1046 pagine
...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, shall be equal to one another. Let ABC be a triangle having the angle ABC equal to the angle ЛСВ ; the side AB is also equal to... | |
| Robert Simson - 1827 - 546 pagine
...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 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 - 548 pagine
...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... | |
| John Playfair - 1836 - 148 pagine
...is equal to it. Wherefore, 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. Which was to be proved. COR. Hence, every equiangular triangle is also equilateral. PROP. VII. THEOR.... | |
| Euclid, James Thomson - 1837 - 410 pagine
...triangle be produced, (1.) the exterior angle is equal to the two interior and remote angles ; and (2.) the three interior angles of every triangle are together equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D : (1.) the exterior angle... | |
| Euclides - 1838 - 264 pagine
...equiangular. PROP. VI. THEOR. If two angles of a triangle be n/mil to one another, the sides also which subtend or are opposite 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... | |
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