 | Euclides - 1853 - 334 σελίδες
...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... | |
 | Robert Potts - 1855 - 1050 σελίδες
...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... | |
 | Great Britain. Committee on Education - 1855 - 976 σελίδες
...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... | |
 | Cambridge univ, exam. papers - 1856 - 252 σελίδες
...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?... | |
 | Euclides - 1858 - 248 σελίδες
...Wherefore, if a A be equilateral, &c. AtoB, QED PROP. 6. — THEOR. 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. CONSTRUCTION. — P. 3. From the greater line to cut off a part equal to the less. Pst. 1. A st. line... | |
 | Elias Loomis - 1858 - 256 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... | |
 | 1859 - 414 σελίδες
...on the other side of the base shall be equal. 3. 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. 4. Any two sides of a triangle are together greater than the third side. The difference of any two... | |
 | Sandhurst roy. military coll - 1859 - 672 σελίδες
...determine the square root of 906-67834321. 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. State and explain Euclid's Corollary to this proposition. 2. Parallelograms upon the same base and... | |
 | Robert Potts - 1860 - 380 σελίδες
...is also equiangular. PROPOSITION VI. THEOREM. 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 AB C be a triangle having the angle ABC equal to the angle A CB. Then the side AB shall be equal to... | |
 | Royal college of surgeons of England - 1860 - 332 σελίδες
...and rectangle. Write out the 12th Axiom. ~- 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. J — jc 3. Bisect a given finite straight line. j 4. If a straight line falling on two other straight... | |
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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. 
