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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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Papers for the schoolmaster, Volumer 1-6

...are together equal to two right angles. Prop, vi If two angles of a triangle be equal to each other, the sides also which subtend, or are opposite to the equal angles, shall be equal to one another. SCRIPTURE. (Isaijh — Acts.) Give a short account of the death of Joshua, or of the life of Deborah...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852
...^ BAC will be isosceles, having the sides BA, AC equal to each other.] c 3 BOOKJ. PROP. VI. THEOK. If two angles of a triangle be equal to one another,...opposite to, the equal angles, shall be equal to one anotlier. Let ABC be a triangle having the angle ABC equal to the angle ACB ; the side AB is also equal...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...base, &c. UED COROLLABY. — Hence every equilateral Mangle is also equiangular. PROP. VI. THEOREM. 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 ABCeqaai to the angle ACB; the side AB is also equal to the...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...base, etc. 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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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 sider
...&c. QED COROLLARY. Hence every equilateral triangle is also equiangular. PROPOSITION VI. — THEOREM. If two angles of a triangle be equal to one another, the sides which subtend, or are opposite to, the equal angles, shall also be equal to one another. LET abС be...
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The Elements of Euclid. Books I.-VI.; XI. 1-21 XII. 1-2. A New Text ..., Bok 1

Euclides - 1853
...Which was to be proved. PEOP. VI. THEOE. If a triangle have two of its angles equal : then the sides which subtend or are opposite to the equal angles shall be equal. Let the triangle ABC have the angle ABC equal to the angle ACB. Then the side AC shall -be equal to...
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855
...scenery that is familiar to you. V.—EUCLID. 1. If two angles of a triangle be equal to each other, the sides also which subtend, or are opposite to, the equal angles, shall be equal to one another. When is one proposition said to be the converse of another !' Is the converse of a true proposition...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...be produced, the angles upon the other side of the base shall likewise be equal. PROP. VI. THEOREM. 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. Let AB С he a triangle...
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1855
...for this Paper.) EUCLID.— (FIRST SECTION.) 1. If two angles of a triangle he equal to each other, the sides also which subtend, or are opposite to the equal angles, shall he equal to one another. 2. Draw a straight line perpendicular to a given straight line of an unlimited...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...and an axiom ? Give an example of the former. 2. If two angles of a triangle be equal to each other, the sides also which subtend, or are opposite to, the equal angles shall be equal to each other. Prove that equilateral triangles are equiangular. Can you extend the proposition to polygons?...
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