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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... "
Elements of geometry: consisting of the first four,and the sixth, books of ... - الصفحة 11
بواسطة Euclides - 1842
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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - عدد الصفحات: 72
...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...

Euclid, book i., propositions i. to xxvi., with exercises and alternative ...

Euclides - 1877 - عدد الصفحات: 58
...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's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - عدد الصفحات: 426
...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....

Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - عدد الصفحات: 146
...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...

Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879 - عدد الصفحات: 120
...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...

Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - عدد الصفحات: 94
...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...

(Report).

Elizabethan club - 1880 - عدد الصفحات: 156
...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,...

Report on the Training Systems for the Navy and Mercantile Marine of England ...

French Ensor Chadwick - 1880 - عدد الصفحات: 222
...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...

The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - عدد الصفحات: 426
...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,...

Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880 - عدد الصفحات: 248
...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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