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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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 320 Seiten
...eaeh to eaeh. Whieh was to be demonstrated. i PROP. V. THiiOR, The angles at the base of an isoseeles triangle are equal to one another ; and if the equal sides be produeed, the angles upon the other side of the base shall also be equal. Let ABC he an isoseeles triangle,...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 Seiten
...are opposite shall be equal, each to each. Which was to be demonstrated. PROP. V. THEOR. The angles at the base of an isosceles triangle are equal to one another ; and if f f1e equal sides be produced, the angles upon the otber side of the base shall be equal. Let ABC be...
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The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ...

Euclides - 1833
...triangles must coincide and be e=. PROP. 5, THEOR. In an isosceles triangle the angles at the base are equal to one another ; and, if the equal sides be produced, the angles below the base shall be also equal. Assume points in the legs below the base, equidistant from the...
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The First Six Books of the Elements of Euclid: With Notes

Euclid - 1833 - 183 Seiten
...equal (3). PROP. V. THEOR. is. 16V In an isosceles triangle (BAG) the angles at the base (ABC and ACB) are equal to one another ; and if the equal sides be produced, the angles below the base (FBC and GCB) shall also be equal. (2) Constr. & Hypoth. Take any point F in the side...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834
...each to each. Which was to be demonstrated. PROPOSITION V. Wtft A ivMJUu. ftT THEOR. — The angles at the base of an isosceles triangle are equal to one another ; and if the equal tides be produced, the angles upon the other side of the base shall be equal, t* D and E : the angle...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 Seiten
...are opposite shall be equal, each to each." Which was to be demonstrated. PROP. 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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1835 - 316 Seiten
...three are equal also ; that is, AB=DE, AC = DF, and the angle BAC= DEF. PROP. III. THEOR. The angles at the base of an isosceles triangle are equal to one another : namely, those to which the equal sides are opposite. If the triangle ABC have the side AC equal to...
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The Element of Geometry

John Playfair - 1836 - 114 Seiten
...equal to the angle GCB, which are the angles upon the other side of the base. Therefore, the angles at the base of an isosceles triangle are equal to...; and, if the equal sides be produced, the angles upon the other side of the base shall be equal. Which was to be proved. COR. Hence, every equilateral...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 Seiten
...angles shall be equal, each to each, viz, those to which the equal sides are opposite. V. 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 also be equal. COR. Every equilateral triangle is also equiangular....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1836 - 471 Seiten
...each. Which was to be demonstrated. PROP. V. THEOR. Tlie angles at the base of an Isosceles triangle N are equal to one another ; and if the equal sides be produced, the angles upon the other side of the base shall also be equal. Let ABC be an isosceles triangle, of which the...
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