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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. "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Side 19
av Robert Simson - 1806 - 518 sider
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Rider Papers on Euclid (books I. and II.)

Rupert Deakin - 1891 - 102 sider
...angles shall be equal, each to each, namely those to which the equal sides are opposite. 5. 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. 6. If two angles of a triangle be equal,...
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Outlines of Psychology: With Special Reference to the Theory of Education

James Sully - 1892 - 560 sider
...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, Volum 1

James Sully - 1892 - 540 sider
...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 - 446 sider
...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...
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Examinations Papers

1897 - 770 sider
...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 - 440 sider
...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 - 362 sider
...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...another; and if the equal sides be produced, the angles on the other side of the base shall also be equal to one another. Let ABC be an isosceles triangle,...
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A Text-book of Euclid's Elements for the Use of Schools. Books I.-VI ..., Bok 1

Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 sider
...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...another ; and if the equal sides be produced, the angles on the other side of the base shall also be equal to one another. A Let ABC be an isosceles triangle,...
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Calendar of the University of Sydney

University of Sydney - 1901 - 644 sider
...the whole distance from A to B being fifteen miles. GEOMETRY. TWO HOUBS AXD A-IIALK. 1. The angles at the base of an isosceles triangle are equal to one another, and, if the equal sides are produced, the angles on the other side of the base are also equal. 2. Describe a triangle, having...
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Logic; Or, The Analytic of Explicit Reasoning

George Hugh Smith - 1901 - 306 sider
...slight variation in the statement of it to make this apparent, as, eg, as follows: Prop. V. The angles at the base of an isosceles triangle are equal to one another. Or, referring to the figure, in the isosceles triangle ABC the angles a and c are equal. The figure...
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