 | Robert Potts - 1868 - 434 pages
...which are the angles at the base of the triangle ABC; and it has also been proved, that the angle FBCis equal to the angle GCB, which are the angles upon...the base. Therefore the angles at the base, &c. QED COR. Hence an equilateral triangle is also equiangular. PROPOSITION VI. THEOREM. If two angles of a... | |
 | General Medical Council (Great Britain) - 1869 - 402 pages
...was three times as old as B, but now he is only twice as old. What is the age of each ? GEOMETRY. 1. If two angles of a triangle be equal to one another, the sides which subtend, or are opposite to the equal angles, are equal to one another. 2. To bisect a given... | |
 | Euclides - 1871 - 136 pages
...has been proved that L FBC= L GCB, that is, i D£C= L ECB. NOTE XII. Euclid-s Prop. VI. of Book I. If two angles of a triangle be equal to one another, the sides also which subtend the equal angles shall be equal to one another. In A ABC let iACB = t_ABC. Then must AB=AC. For if... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...been proved that / FBC= L GCB, that is, / DBC= L ECB. QE D NOTE XII. Euclid's Prop. VI. of Book I. If two angles of a triangle be equal to one another, the sides also which subtend the equal angles shall be equal to one another. In A ABC let iACB= t ABC. Then must AB=AC. For if not,... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...which are the angles at the base of the triangle ABC ; and it also has been proved that the angle FBC is equal to the angle GCB, which are the angles upon...of the base. Therefore the angles at the base, &c. COROLLARY. — Hence every equilateral triangle is also equiangular. VI. — If two angles of a triangle... | |
 | Euclides - 1874 - 342 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 angles at the base, &c. QED* Corollary. Hence an equilateral triangle is also equiangular. PROPOSITION 6. — Theorem. If two angles of a triangle... | |
 | Edward Atkins - 1874 - 426 pages
...COROLLARY. — Hence every equilateral triangle is also equiangular. Proposition 6. — Theorem. ]J two angles of a triangle be equal to one another,...which subtend, or are opposite to, the equal angles, sludl be equal to one another. Let ABO be a triangle having the angle ABC equal to the angle ACB. The... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...which are the angles at the base of the triangle ABC; and it has also been proved, that the angle FBCis equal to the angle GCB, which are the angles upon...the base. Therefore the angles at the base, &c. QED COE. Hence an equilateral triangle is also equiangular. PROPOSITION VL THEOREM. If two angle! of a... | |
 | Edward Atkins - 1876 - 130 pages
...cf the triangle ABC. And it has been proved that the angle FBC is equal to the angle GCB (Dem. 11), Which are the angles upon the other side of the base, Therefore the angles at the base, «kc. (see Enunciation). Which was to be shown. COROLLARY. — Hence every equilateral triangle is... | |
 | Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...Also it has been proved that L FBC= L GCB, that is, i DBC= L ECB. QED NOTE 12. Euclid* Proof of I. 6. If two angles of a triangle be equal to one another, the sides also, which sultend the equal angles, shall be equal to one anotlier. In A ABC let / ACB = .L ABO. Then must AB=AG.... | |
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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... 
