 | Euclides, James Hamblin Smith - 1872 - 376 pàgines
...I. give good examples of symmetrical constructions. NOTE XL Euclid's Prop. V. of Book I. The angles at the base of an isosceles triangle are equal to...produced, the angles upon the other side of the base shall be equal. Let ABC be an isosceles A, having AB = AC. Produce AB, AC to D and E. Tlwn must L ABC= L... | |
 | Henry Major - 1873 - 588 pàgines
...remaining angles of the other, and be equal to them, viz., ABC to DEF, and ACB to DFE. V. — The angles at the 'base of an isosceles triangle are equal to...produced, the angles upon the other side of the base shall be equal. Let ABC be an isosceles triangle, of which AB is • qual to AC, and let AB, AC, be produced... | |
 | Euclides - 1874 - 120 pàgines
...another. 2. The diagonals of a square are equal to one another. PROPOSITION 5. THEOREM. The angles at the base of an isosceles triangle are equal to...another ; and if the equal sides be produced the angles on the other side of the base shall be equal to one another. * Let ABC be an isosceles triangle, having... | |
 | Edward Atkins - 1874 - 428 pàgines
...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,... | |
 | Robert Jardine - 1874 - 338 pàgines
...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,... | |
 | L J V. Gerard - 1874 - 428 pàgines
...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... | |
 | Joseph Hamilton - 1875 - 126 pàgines
...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 - 1010 pàgines
...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...another; and if the equal sides be 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... | |
 | Henry Major - 1876 - 784 pàgines
...Explain the effect of the Norman conquest upon the English language. Write full notes of a lesson on Tea. 1 . The angles at the base of an isosceles triangle are equal to each other, and if the eqnal sides be produced, the angles on the other side of the base shall be eqnal.... | |
 | Robert Potts - 1876 - 446 pàgines
...Candidata who Book II will omit Questions 1, 2, and 3, marked *. 16 3 16 6 16 8 16 8 2 16 12 18 18 20 20 1. The angles at the base of an isosceles triangle are equal one another ; and if the equal sides be produced, the angle .a on the other side of the base shall... | |
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THE angles at the base of an isosceles triangle are equal to one another : and, if the equal sides be produced, the angles upon the other side of the base shall be equal. 
