 | Euclides - 1865 - 80 σελίδες
...sides opposite to them are also equal. Let ABC be a triangle having the angle B equal to the angle C, the side AB is also equal to the side AC. For if it be not equal, AB must either be A greater than AC or less than it; but AB is not greater than AC,... | |
 | Euclid, Isaac Todhunter - 1867 - 426 σελίδες
...equilateral triangle is also equiangular. PROPOSITION 6. 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 A BC equal to the angle A CB : the side AC shall be equal to the side AB. For if AC be not equal to... | |
 | Euclid, Isaac Todhunter - 1867 - 424 σελίδες
...If two angles of a triangle be equal to one another, (7/e sides also which subtend, or are oppotite to, the equal angles, shall be equal to one another....triangle, having the angle ABC equal to the angle A CB : the side AC shall be equal to the side AB. For if AC be not equal to AB, one of them must be... | |
 | Schools inquiry commission - 1868 - 742 σελίδες
...2. Write out the following propositions of Euclid : — (1.) If two angles of a triangle are equal to one another, the sides also which subtend or are...to the equal angles, shall be equal to one another, BI Prop. G. (2.) If one circle touch another internally in any point, the straight line which joins... | |
 | Robert Potts - 1868 - 434 σελίδες
...equiangular. PROPOSITION VI. THEOREM. If two angles of a triangle be equal to each other ; the tides also which subtend, or are opposite to, the equal angles, shall be equal to one another. Let .dUCbe a triangle having the angle ABCeqa.al to the angle A CS. Then the side AB shall be equal to... | |
 | Elias Loomis - 1871 - 302 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... | |
 | Henry Major - 1873 - 588 σελίδες
...Hence every equilateral triangle is also equiangular. VI. — If two angles of a triangle be equal to one another, the sides also which subtend, or are opposite to ths equal angles, shall be equal to one another. Let ABC be a triangle having the angle ABC equal to... | |
 | Braithwaite Arnett - 1874 - 130 σελίδες
...TO THE CAVALRY AND INFANTRY. January, 1874. EUCLID (BoOK I.) 1. 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. 2. If from the ends of the side of a triangle there be drawn two straight lines to a point within the... | |
 | Euclides - 1874 - 120 σελίδες
...to one another. [Draw the diagonal.] PROPOSITION 6. THEOREM. If two angles of a triangle lie equal to one another, the sides also which subtend, or are...to, the equal angles, shall be equal to one another. j Let ABC be a triangle, ' • having the angle ABC equal to the angle ACB. The side AC shall be equal... | |
 | Euclides - 1874 - 342 σελίδες
...PROPOSITION 6. — Theorem. If two angles of a triangle be equal to each other, the sides also whieh subtend, or are opposite to, the equal angles, shall be equal to one another. Let ABC be a triangle haying the angle ABC equal to the angle Then the side AB shall be equal to the side AC. Construction.... | |
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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. 
