| Euclides - 1874
...DF were produced. PROP. V. — THEOREM. The angles at the base of an isosceles triangle are equal, **and if the equal sides be produced, the angles on the other side of the base** are also equal. Let ABC be an isosceles triangle, having the side AB equal to the side AC; it is required... | |
| Edward Atkins - 1874
...have, &c. (see Enunciation). Which was to be showm. Proposition 5.— Theorem. The angles at the bose **of an isosceles triangle are equal to one another ; and if the equal sides be produced,** tlie angles upon the other side of the base shall also be equal. Let ABC be an isosceles triangle,... | |
| United States Naval Academy - 1874
...and a half. 1. Prove that the angles at the base of an isosceles triangle are equal, and that if p **equal sides be produced the angles on the other side of the base** will be equal. В С is an isosceles triangle, В С the base ; if the angles ARC and AC В be bisected... | |
| L J V. Gerard - 1874
...II. The angles of a scalene triangle, are unequal to each other. THEOREM 8. (Eucl. I. 5.) The angles **at the base of an isosceles triangle, are equal to one another.** Let the sides AB and BC of the triangle ABC be equal to each other. Let BD he the bisectrix of the... | |
| Robert Jardine - 1874 - 287 páginas
...soon decide the question. From a comparison of certain angles and triangles we infer — " The angles **at the base of an isosceles triangle are equal to one another."** This is certainly not a relation of inclusion, either total or partial. From a variety of considerations,... | |
| Joseph Hamilton - 1875 - 114 páginas
...else, the conclusion that they are equal to each other is absolutely unimpeachable. Again ; the angles **at the base of an isosceles triangle are equal to one another.** There are several steps in this argument, and many appeals to facts previously established ; but if... | |
| Education Department,London - 1876
...circle, oblong, and parallelogram ; and distinguish between a postulate and an axiom. 2. The angles **at the base of an isosceles triangle are equal to...produced the angles on the other side of the base** will be equal to one another. Show that the segments of BG, CF, in Euclid's figure, are equal, each... | |
| Marianne Nops - 1882
...base. SUMMARY OF PROPOSITION V., THEOREM 2. The angles at the base of an isosceles triangle are equal, **and if the equal sides be produced, the angles on the other side of the base** are Cons. — In BD take any point F. From CE cut off CG = BF (I. 3), join FC, GB. Proof. — By I.... | |
| Education Ministry of - 1882
...be produced." (These form, one question.) SECTION II. 1. If the equal sides of an isosceles triangle **be produced, the angles on the other side of the base shall be equal.** Show that this property can be proved by a method similar to that employed in the 4th Proposition.... | |
| EUCLID. - 1883 - 96 páginas
...is centre of 0 DEF, AE = AD (Def. 11), and AD = C (cons.), .-. AE = CQEF EU. I. 5. THEOR. The angles **at the base of an isosceles triangle are equal to...produced, the angles on the other side of the base shall** also be equal to one another. Given AB = AC, and let AB and AC be produced. To prove i.ABC = /.ACB,... | |
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