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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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A Text-book of Geometrical Deductions: Book I [-II] Corresponding to Euclid ...

James Blaikie, William Thomson - 1891
...triangles shall be equal in every respect. 5. 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 shall also be equal. Cor.— Every equilateral triangle is also equiangular. 6. If two angles of a triangle...
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The Strand Magazine, Band 21

Herbert Greenhough Smith, Sir George Newnes, George Newnes, Limited - 1901
...demonstrate, for example, 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 are equal also ; or that the square on the hypotenuse of a right-angled triangle is equal to the sum...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1892 - 518 Seiten
...equal in all respects; i.4. so that XC is equal to YB. i;.E.II. PROPOSITION 5. THEOREM. The angles at the base of an isosceles triangle are equal to one another; and if the equal sides be produced, tk angles on the other side of the base shall also be equal to on another. Let ABC be an isosceles...
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Outlines of Psychology: With Special Reference to the Theory of Education

James Sully - 1892 - 524 Seiten
...respect to discrete or numerical quantity, tg, 3 + 2 = 5. or to continuous quantity, eg, " The angles at the base of an isosceles triangle are equal to one another." Such equality is plainly likeness in respect of quantity or amount. It constitutes the type of perfect...
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The Human Mind: A Text-book of Psychology, Band 1

James Sully - 1892 - 894 Seiten
...respect to discrete or numerical quantity, eg, 3 -f 2 = 5, or to continuous quantity, eg, " The angles at the base of an isosceles triangle are equal to one another". Such equality is plainly likeness in respect of quantity or amount. It constitutes the type of perfect...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1897
...and 6 1. Define— Plane parallelogram. 2. The angles at the base of an isosceles triangle »re 21 equal to one another ; and if the equal sides be produced, the angles on the other side of the base sha, I also be equal to one another. 3. To bisect a given angle ; that is, to divide it into two 14...
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Examinations Papers

1897
...GEOMETRY. The Board of Examiners. Any intelligible abbreviations are allowed. 1. Prove that the angles at the base of an isosceles triangle are equal to one another. Any point is taken on the straight line joining the vertices of two isosceles triangles on the same...
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Lectures in the Lyceum Or Aristotle's Ethics for English Readers

Aristotle - 1897 - 379 Seiten
...proposition is arrived at in geometry. ' I am sure,' says a geometer to himself, ' that the angles at the base of an isosceles triangle are equal to one another ; but how am I to prove it? You can prove things equal to one another by showing that they are equal...
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Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 340 Seiten
...the angular point opposite that side is usually called the vertex. PROPOSITION 5. THEOREM 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. Let ABC be an isosceles triangle, having the side AB equal to the side...
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A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV., Bücher 1

Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 Seiten
...BCD equal to the angle ADC : prove that BD is equal to AC. II.SB B PROPOSITION 5. THEOREM. 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. A Let ABC be an isosceles triangle, in which the side AB is equal to...
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