| Friedrich Ueberweg - 1872 - 524 páginas
...pupil of Aristotle): 1. That the circle is halved by its diameter (ib. p. 44) ; 2. Th»t tho angles at the base of an isosceles triangle are equal to each other (p. 67); 3. That the opposite angles formed by intersecting lines are equal to each other (p. 79) ;... | |
| Herbert Spencer - 1873 - 670 páginas
...angle AB 0 is equal to the angle ACB — to the abstract inference : we say — therefore the angles at the base of an isosceles triangle are equal to each other. QED Be the cogency of every step in the demonstration what it may, the truth of the proposition at... | |
| Herbert Spencer - 1873 - 678 páginas
...angle AB 0 *» eqnal to the angle ACB — to the abstract inference : we say — therefore the angles at the base of an isosceles triangle are equal to each other. QED Be the cogency of every step in the demonstration what it may, the truth of the proposition at... | |
| Euclides - 1874 - 342 páginas
...the one equal to two sides, &c. Which was to be demonstrated. PROPOSITION 5. — Theorem. The angles at the base of an isosceles triangle are equal to each other; and if the equal sides be produced, the angles on the other side of the base shall be equal. Let ABC... | |
| L J V. Gerard - 1874 - 428 páginas
...of an equilateral triangle are equal to one another. 16. The altitudes of the vertices of the angles at the base of an isosceles triangle, are equal to each other. 17. The bisectrices of the angles at the base of an isosceles triangle, meet the other sides in two... | |
| Henry Major - 1876 - 784 páginas
...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 páginas
...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... | |
| 1877 - 678 páginas
...grammar, and correctness of crjtression. FOBKIOS OFFICE CLERKS. May 1876. EUCLID. Time allowed, 3 hours. 1. The angles at the base of an isosceles triangle are equal to one another ; and if the equal sides bo produced, the angles upon the other side of the base shall... | |
| Euclides - 1877 - 58 páginas
...[NOTE.— The following is Euclid's more complete statement and proof of this proposition.] The angles at the base of an isosceles triangle are equal to each other; and if the equal sides be produced, the angles on the other side of the base shall be equal. Let ABC... | |
| Nicholas Patrick Wiseman - 1878 - 568 páginas
...20, § 282) to seek it out in the field of geometry. He first selects the proposition : " The angles at the base of an isosceles triangle are equal to each other." He then observes, that in order to prove this, a concrete example is taken, and that when the equality... | |
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