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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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Papers for the Schoolmaster, Band 2

1852
...though made for time, survives for aye, And, though it hath beginning, sees no end." . III. The angles at the base of an isosceles triangle are equal to...produced, the angles on the other side of the base are also equal. IV. In any right-angled triangle the square of the side subtending the right augle...
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The First Two Books of the Elements of Euclid ... with Additional Figures ...

Euclides - 1852
...unless it be possible for two straight lines to enclose a space.] c 2 BOOK I. PEOP. V. THEOR. The angles at the base of an Isosceles triangle are equal to...another ; and if the equal sides be produced, the angles upon the other side of the base shall be equal. Let ABC be an Isosceles triangle, of which the side...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

...opposite shall be equal, each to each. Which was to be demonstrated. PROPOSITION V. THEOR. The angles at the base of an isosceles triangle are equal to...another ; and if the equal sides be produced, the angle* upon the other side of the base shall be equal. Let ABC be an isosceles triangle, of which the...
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The Elements of Euclid. Books I.-VI.; XI. 1-21 XII. 1-2. A New ..., Bücher 1

Euclides - 1853
...proved. PROP. V. THEOE. If a triangle be isosceles : then (1) the angles at the base shall be equal ; (2) if the equal sides be produced, the angles on the other side of the base shall be equal Let the triangle ABC be isosceles, having the side AB equal to the side AC. Then (1) the angle ABC...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...Which was to be demonstrated. M PROP. V. — THEOREM. The angles at the base of an isosceles Mangle are equal to one another ; and if the equal sides be produced, the angles upon the other side of the base shall be equal. Let ABCbe an isosceles triangle, of which the side...
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Elements of geometry and mensuration

Thomas Lund - 1854 - 192 Seiten
...assumption, and the previous assumption is made the conclusion. Thus to the proposition " The angles at the base of an isosceles triangle are equal to one another" the converse would be "Shew that, if the angles at the base of a triangle are equal to one another,...
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855
...whose fate we have now to record. MACKINTOSH. V.—EUCLID AND GEOMETRICAL CONIC SECTIONS. 2. The angles at the base of an isosceles triangle are equal to...another; and, if the equal sides be produced, the angle* on the other side of the base shall also be equal. - 1. Define a right line, a right angle,...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...equal to one side of the other, the squares are equal in all respects. PROP. V. THEOREM. The angles at the base of an isosceles triangle are equal to one another: arid if the equal sides be produced, the angles upon the other side of the base shall be equal. Let...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

...BD Sidney College. EUCLID. WEDNESDAY, January 14, 1857. 9 to 12. FIKST DIVISION (A.) 1. THE angles at the base of an isosceles triangle are equal to...angles on the other side of the base shall be equal. The line which bisects the vertical angle of an isosceles triangle divides it into two equal parts....
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Considerations on the Suggestions of the University Commissioners with ...

Henry Latham - 1857 - 59 Seiten
...What instruments are alone permitted to be used in the constructions of Euclid, and why? The angles at the base of an isosceles triangle are equal to one another. 2. The opposite sides and angles of parallelograms are equal to one another. If through the opposite...
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