 | Great Britain. Admiralty - 1846 - 128 σελίδες
...the base will follow from Prop. 12. PROP. VI. THEOR. e. 1 Eu. If two angles of a triangle be equal to one another, the sides also which subtend, or are...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, ACB, DB... | |
 | Euclides - 1847 - 128 σελίδες
...principle is constantly applicable. PROP. VI. THEOR. GEN. ENUN. — If two angles of a triangle be equal to one another, the sides also which subtend, or are...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... | |
 | Great Britain. Committee on Education - 1847 - 606 σελίδες
...return after an interval of 19 years? Geometry and Trigonometry. 1. 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. 2. If at a point in a given straight line two other straight lines on the opposite sides of it make... | |
 | Great Britain. Committee on Education - 1847 - 624 σελίδες
...return after an interval of 19 years? Geometry and Trigonometry. 1. 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. 2. If at a point in a given straight line two other straight lines on the opposite sides of it make... | |
 | Euclides - 1848 - 52 σελίδες
...every equilateral triangle is also equiangular. PROP. VI. THEOREM. If two angles of a triangle be equal to one another, the sides also which subtend, or are...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,... | |
 | Elias Loomis - 1849 - 252 σελίδες
...Prop. X.). If two angles of a triangle are equal to one another, the opposite sides are also equal. Let ABC be a triangle having the angle ABC equal to the angle ACB; then will the side AB be equal to the side AC. For if AB is not equal to AC, one of them must be greater... | |
 | 1850 - 488 σελίδες
...point to draw a straight line equal to a given straight line. '2. 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. 3. If two triangles have two sides of the one equal to two sides of the other, and have likewise their... | |
 | 582 σελίδες
...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... | |
 | Euclides - 1852 - 152 σελίδες
...sides BA, AC equal to each other.] c 3 BOOKJ. PROP. VI. THEOK. 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 anotlier. Let ABC be a triangle having the angle ABC equal to the angle ACB ; the side AB is also equal... | |
 | Euclides - 1853 - 146 σελίδες
...every equilateral Mangle is also equiangular. PROP. VI. THEOREM. If two angles of a triangle be equal to one another, the sides also which subtend, or are...one another. Let ABC be a triangle having the angle ABCeqaai to the angle ACB; the side AB is also equal to the side AC. For if AB be not equal to AC,... | |
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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. 
