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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 Geometry, Symbolically Arranged

...equality of the Z. s on the oppo. side of the base will follow from Prop. 12. PROP. VI. THEOR. e. 1 Eu. If two angles of a triangle be equal to one another,...to the equal angles, shall be equal to one another. Let ^\ ABC have L ABC = /_ ACB; then AB = AC. A : AC, one of them is > the other ; Prop.« and In <^s...
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The Elements of Geometry, Symbolically Arranged

...equality of the /. s on the oppo. side of the base will follow from Prop. 12. PROP. VI. THEOR. e. 1 Eu. If two angles of a triangle be equal to one another,...to the equal angles, shall be equal to one another. Let ^ ABC have L ABC = L ACB; then AB = AC. IfAB^AC, one of them is > the other ; Prop, t In ^s DBC,...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...the base %c. QED COROLLARY. Hence every equilateral triangle is also equiangular. PROP. VI. THEOE. 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 London University Calendar

London univ - 1846
...that instrument. WEDNESDAY. July 9.— Morning, 10 to 1. GEOMETRY. Examiner, Mr. JERRARD. 1. Show that if two angles of a triangle be equal to one another, the sides which subtend or are opposite to them shall also be equal to one another. 2. Bisect a given rectilineal...
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847
...various operations of Carpentry, this principle is constantly applicable. PROP. VI. THEOR. GEN. ENUN. — If two angles of a triangle be equal to one another,...to, the equal angles, shall be equal to one another. PART. ENUN. — Let ABC be a. A, of which the ZABC = Z.ACB, then the side AB =: AC. CONST. — For...
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Minutes of the Committee of Council on Education, with Appendices, Volum 1

...sun. 4. Why do similar eclipses return after an interval of 19 years? Geometry and Trigonometry. 1. If two angles of a triangle be equal to one another,...or are opposite to the equal angles shall be equal. 2. If at a point in a given straight line two other straight lines on the opposite sides of it make...
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Minutes of the Committee of Council on Education, Volum 1

...sun. 4. Why do similar eclipses return after an interval of 19 years? Geometry and Trigonometry. 1. If two angles of a triangle be equal to one another,...or are opposite to the equal angles shall be equal. 2. If at a point in a given straight line two other straight lines on the opposite sides of it make...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...base shall be equal. COR. Hence every equilateral triangle 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. COR. Hence every equiangular triangle is also equilateral. PROP. VII. THEOREM. Upon the same base,...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides, Thomas Tate - 1849 - 108 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,...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 English Journal of Education, Volum 4

1850
...SECTION III. — 1. From a given point to draw a straight line equal to a given straight line. '2. If two angles of a triangle be equal to one another,...are opposite to the equal angles, shall be equal. 3. If two triangles have two sides of the one equal to two sides of the other, and have likewise their...
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