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" 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. "
Euclid's plane geometry, practically applied; book i, with explanatory notes ... - Side 21
av Euclides - 1863
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 390 sider
...the angle ACF, and (I. 4. schol.) the exterior angles DBF, ECF, are also equal.* PROP. VI. THEOR.J IF two angles of a triangle be equal to one another, the sides which subtend, or are opposite to, those angles, are also equal to one another. Let ABC be a triangle...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 sider
...follows that angle C = E (I. 4) ; and as B and C are each = E, therefore B = C. PROPOSITION VI. THEOREM. If two angles of a triangle be equal to one another, the sides Which subtend, or are opposite to, those angles, shall also he equal to one another. Let ABC be a triangle...
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The Elements of Euclid

Euclid - 1838 - 416 sider
...base, &c. QED COROLLARY. Hence every equilateral triangle is also equiangular. PROP. VI. THEOR. Ir two angles of a triangle be equal to one another,...to, the equal angles, shall be equal to one another. Let ABC be a triangle having the angle ABC equal to the angle ACB ; and the side AB is also equal to...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...every equilateral triangle is also equiangular. PROP. VI. THEOR. If two angles of a triangle be n/mil to one another, the sides also which subtend or are...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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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 sider
...the base, &c. QED COROLLARY. Hence every equilateral triangle is also equiangular. PROP. VI. THEOR. If two angles of a triangle be equal to one another, the rides also which subtend, or are opposite to, the equal angles, shall be equal to one another. Let...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...the base, &c. QED COROLLARY. Hence every equilateral triangle is also equiangular. PROP. VI. THEOR IF two angles of a triangle be equal to one another...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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 317 sider
...side of the base. COROLLARY. Hence every equilateral triangle is also equiangular. PROP. VI. THEOR. 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. Let ABC be a triangle having...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 sider
...&c. QED COROLLARY. Hence every equilateral triangle is also equiangular. PROPOSITION VI. THEOR. — If two angles of a triangle be equal to one another,...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 is also equal to the...
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Report of the Committee of Council on Education (England and Wales ..., Volum 2

Great Britain. Council on Education - 1845
...marked with an asterisk are not to be answered by the 1st Class. 57.*If two angles of a triangle he equal to one another, the sides also which subtend...to the equal angles, shall be equal to one another. 58."The greater side of every triangle is opposite to the greater angle. 59. If from the ends of the...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 352 sider
...equiangular. This is shown by taking, first, one side as base, and then another. PROP. VI. THEOB.* — If two angles of a triangle be equal to one another, the sides which subtend, or are opposite to, those angles, are also equal to one another. Let ABC be a triangle...
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