 | Euclid, Isaac Todhunter - 1883 - 428 pagina’s
...angles &c. QBD PROPOSITION 6. THEOREM. If tteo angles of a triangle be equal to one another, the tides also which subtend, or are opposite to, the equal...triangle, having the angle ABC equal to the angle A GB : the side AC shall be equal to the side AB. For if AC be not equal to AB, one of them must be... | |
 | Moffatt and Paige - 1883 - 576 pagina’s
...the angles at the base, etc. QE D 420 Proposition VI. Theorem. If two angles of a triangle be equal to one another, the sides also which subtend, or are opposite to, the equal angles, shall bt equal to one another. Let ABC be a triangle having the angle ABC equal to the angle AC B. Then the... | |
 | Euclides - 1883 - 176 pagina’s
...equidistant from the extremities of the given base.) PROP. 6. THEOR. If two angles of a triangle be equal to one another, the sides also which subtend, or are opposite to, those angles shall be equal to one another. Given A ABC, having L ABC = To prove AB = AC. If AB be... | |
 | Euclides - 1884 - 214 pagina’s
...equals the remainders are equal. P. a. PROPOSITION 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. In t/ne triangle ABC; GIVEN that the angle ABC is equal to the angle ACB; IT is REQUIRED TO PROVE that... | |
 | Woolwich roy. military acad - 1884 - 148 pagina’s
...generally called? Criticise Euclid-s definition of a square. i. 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. What other converse proposition may be obtained from Proposition V., Book I.? 3. If two triangles have... | |
 | Charles Eyre Pascoe - 1884 - 130 pagina’s
...series is u, the gth term of the same is v; find the 7th term. VI. 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. VII. If two sides of a quadrilateral figure in a circle are parallel, prove that the other two must... | |
 | Charles Eyre Pascoe - 1884 - 128 pagina’s
...series is u, the yth term of the same is v; find the 7th term. VI. 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. VII. If two sides of a quadrilateral figure in a circle are parallel, prove that the other two must... | |
 | Euclides - 1884 - 94 pagina’s
...PUBLISHED IN A SIMILAR FORM TO THIS. PROPOSITION 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. Let be a triangle having the angle equal to the angle Then the side shall be equal to the side For, if... | |
 | 1884 - 708 pagina’s
...the circumference. 2. If two angles, PQR, PRQ.of a triangle be equal to one another, the sides PQ, PR also which subtend, or are opposite to, the equal angles shall be equal to one another. Prop. 6, Bk. I. 3. If two triangles have two angles of the one equal to two angles of the other, each... | |
 | Mathematical association - 1884 - 146 pagina’s
...triangle. THEOR. 8. If two angles of a triangle are equal, the sides opposite to those angles are equal. Let ABC be a triangle having the angle ABC equal to the angle ACB : A A< c1 then shall the side AC be equal to the side AB. Let A'B'C' be a triangle identically equal... | |
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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. 
