 | Edward Atkins - 1877 - 72 pages
...of the triangle A1!C. 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, <fec. (see Enunciation). WlticJt was to be shown. COROLLARY. — Hence every equilateral triangle is... | |
 | Euclides - 1877 - 58 pages
...is also equilateral. PROPOSITION VI. THEOREM. [The following is Euclid's proof of this proposition.! If two angles of a triangle be equal to one another, the sides also which subtend (that is, are opposite to) the equal angles shall be equal to one another. Let AEC be a triangle, having... | |
 | Moffatt and Paige - 1879 - 428 pages
...base of the triangle ABC. And it was proved that the angle FBC is equal to the angle GCB, and these are the angles upon the other side of the base. Therefore, the angles at the base, etc. QED COROLLARY. Hence every equilateral triangle is also equiangular. Proposition VI. Theorem.... | |
 | Euclides - 1879 - 146 pages
...which are £_ s at the base of A ABC ; and it has been proved that ^ FBC = i. GCB, which are L s on the other side of the base. Therefore, the angles at the base, &c. QED Cor. Hence every equilateral triangle is also equiangular. [Hypothesis, an isosceles A ; conclusion... | |
 | Joseph Wollman - 1879 - 120 pages
...second overtakes first (1j x 7) 1oj miles from starting point Scholarship Examination 1874. EUCLID. I. If two angles of a triangle be equal to one another, the sides which subtend, or are opposite to, the equal angles shall be equal to one another. What proposition... | |
 | Edward Harri Mathews - 1879 - 94 pages
...squares decribed on the sides which contain the right angle Christmas 1874. MALE CANDIDATES. EUCLID. 1. If two angles of a triangle be equal to one another, the sides which subtend, or are opposite to, the equal angles shall be equal to one another. What proposition... | |
 | Elizabethan club - 1880 - 156 pages
...equation may be put into the form (1)' + < = IEUCLID L— IV., VI., XI. DIVISIONS I., II., AND III. 1. 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. equal to the interior and opposite upon the same side,... | |
 | French Ensor Chadwick - Merchant marine - 1880 - 222 pages
...GEOMETRY. 1. Define an angle, a triangle, an obtuse angle, an acute-angled triangle, a parallel-- ogram. 2. 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. 3. The greater side of a triangle is opposite the greater... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...angles &c. QED Corollary. Hence every equilateral triangle is also equiangular. PROPOSITION 6. THEOREM. If two angles of a triangle be equal to one another, the sides also which attend, or are opposite to, the equal angles, shall be equal to one another. Let ABC be a triangle,... | |
 | Education Ministry of - 1880 - 238 pages
...square on AB may be written "sq. on AB." and the rectangle contained by AB and CD, " rect. AB. CD." 1. If two angles of a triangle be equal to one another, the sides which subtend, or are opposite to, the equal angles shall be equal to one another. What proposition... | |
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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... 
