 | Mathematics - 1835 - 684 pages
...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 - Euclid's Elements - 1836 - 488 pages
...which are the angles at the base of the triangle ABC : And it has also been proved, that the angle FBC is equal to the angle GCB, which are the angles upon...angles 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... | |
 | John Playfair - Geometry - 1836 - 148 pages
...which are the angles at the base of the triangle ABC ; and it has also been proved, that the angle FBC is equal to the angle GCB, which are the angles upon...side of the base. Therefore, the angles at the base of an isosceles triangle are equal to one another ; and, if the equal sides be produced, the angles... | |
 | Mathematics - 1836 - 488 pages
...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 - Euclid's Elements - 1837 - 112 pages
...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... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...the base of the triangle ABC : and it has been proved that the angle FBC is equal to the angle]GCB, which are the angles upon the other side of the base. Therefore the angles at the base, &c. ; which was to be demonstrated. Cor. Hence every equilateral triangle is also equiangular. This is... | |
 | John Playfair - Euclid's Elements - 1837 - 332 pages
...which are the angles at the base of the triangle ABC : And it has also been proved that the angle FBC is equal to the angle GCB, which are the angles upon the other side of the base. *v COROLLARY. Hence every equilateral triangle is also equiangular. PROP. VI. THEOR. /If two angles... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...which are the angles at the base of the triangle ABC : And it has also been proved that the angle FBC is equal to the angle GCB, which are the angles upon the other side of the base. COB. — Hence every equilateral triangle is also equiangular. Scholium. — This proposition may be... | |
 | Charles Reiner - Geometry - 1837 - 246 pages
...[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,... | |
 | Euclid - Geometry - 1838 - 470 pages
...which are the angles at the base of the triangle ABC : and it has also been proved that the angle FBC is equal to the angle GCB, which are the angles upon...equilateral triangle is also equiangular. PROP. VI. THEOR. Ir two angles of a triangle be equal to one another, the sides also which subtend, or are opposite... | |
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ABC is therefore equal to the remaining angle ACB, which are the angles at the base of the triangle ABC : And it has also been proved that the angle FBC is equal to the angle GCB, which are the angles upon the other side of the base. Therefore, " the... 
