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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. "
First principles of Euclid: an introduction to the study of the first book ... - Seite 88
von T S. Taylor - 1880
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Philosophy of the Unconscious, Band 1

Eduard von Hartmann - 1884 - 728 Seiten
...consciousness, ie, our general assertion is confirmed here too. Eg, if I want to prove that the angles at the base of an isosceles triangle are equal to one another, I only need to remember the general proposition that in every triangle equal angles are opposite to...
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Fallacies: A View of Logic from the Practical Side

Alfred Sidgwick - 1884 - 375 Seiten
...showing a valid reason why the assertion should deserve belief. So again, to prove that the angles at the base of an isosceles triangle are equal to one another, means to establish the truth of that proposition ; and the manner of performing the process certainly...
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Philosophy of the Unconscious: Speculative Results According to the ...

Eduard von Hartmann - 1884 - 1108 Seiten
...consciousness, ie, our general assertion is confirmed here too. Eg, if I want to pro.ve that the angles at the base of an isosceles triangle are equal to one another, I only need to remember the general proposition that in every triangle equal angles are opposite to...
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Philosophy of the Unconscious, Band 1

Eduard von Hartmann, William Chatterton Coupland - 1884
...consciousness, ie, our general assertion is confirmed here too. Eg, if I want to prove that the angles at the base of an isosceles triangle are equal to one another, I only need to remember the general proposition that in every triangle equal angles are opposite to...
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University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885
...which Euclid proves the equality of two triangles. 2. What is Euclid's test of equality ? 3. The angles at the base of an isosceles triangle are equal to...other side of the base shall be equal to one another. 4. If a straight line be divided into any two parts, the rectangles contained by the whole and each...
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Miscellaneous Notes and Queries with Answers in All Departments of ..., Band 2

1885
...Euclid this name really belongs — the sth, 2oth or 47th. They are as follows : PROP. V. The angles at the base of an isosceles triangle are equal to...; and, if the equal sides be produced, the angles upon the other sides of the base shall be equal. PROP. XX. Any two sides of a triangle are together...
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Obiter Dicta ...: Carlye. On the alleged obscurity of Mr. Browning's poetry ...

Augustine Birrell - 1885
...be more difficult to prove that the angles at the base of an isosceles triangle are equal, and that if the equal sides be produced, the angles on the other side of the base shall be equal, than it was to describe an equilateral triangle on a given finite straight line ; yet no one but an...
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Obiter Dicta ...

Augustine Birrell - 1885 - 115 Seiten
...be more difficult to prove that the angles at the base of an isosceles triangle are equal, and that if the equal sides be produced, the angles on the other side of the base shall be equal, than it was to describe an equilateral triangle on a given finite straight line ; yet no one but an...
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The First Six Books of the Elements of Euclid: And Propositions I-XXI of ...

Euclid, John Casey - 1885 - 312 Seiten
...after the student has read Prop. xxxn.) PEOP. V.— THEOREM. The angles (ABC, ACE) at the base (BC) of an isosceles triangle are equal to one another, and if the equal sides (AB, AC) be produced, the external angles (DBC, ECB) below the base shall be equal. Dem. — In BD...
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The first six books of the Elements of Euclid, and propositions i.-xxi. of ...

Euclides - 1885
...after the student has read Prop. xxxu.) PROP. V.— THEOREM. The angles (ABC, ACB) at the base (BC) of an isosceles triangle are equal to one another, and if the equal sides (AB, AC) be produced, the external angles (DEC, ECB) below the base shall be equal. Dem. — In BD...
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