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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 Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 sider
...&c. Q. 1;. ./1. 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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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1829 - 516 sider
...VI. THEOR. IF two angles of a triangle 1)£ equal to one another, the sides also which subtend, t>r are opposite to, the equal angles, shall be equal to one another. Let ABC be a triangle haviug the angle ABC equal to the angle ACB ; the side AB is also equal to the...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834
...ED COROLLARY. — Hence, every equilateral triangle is also equiangular. PROPOSITION VI. THEOR. — If two angles of a triangle be equal to one another, the sides also which subtend, or are opposite Xo, the equal ungles, shall be equal to one another. For if AB be not equal to AC, one of them is greater...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - 1835 - 513 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,...also which subtend, or are opposite to, the equal anyles, shall be equal to one another. Book I. Let ABC be a triangle having the angle ABC equal to...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 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 sides also ii'hich subtend, or are opposite to, the equal angks, shall be equal to one another. 4 Book I. Let...
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Library of Useful Knowledge: Geometry, plane, solid, and spherical [by ...

1835
...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...
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The Element of Geometry

John Playfair - 1836 - 114 sider
...Which was to be proved. COR. 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 is also equal to the...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 sider
...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...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 88 sider
...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...
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Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - 1837 - 215 sider
...[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,...
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