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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 for the Use of Schools and Colleges: With Notes, an ... - Strona 10
autor: Isaac Todhunter - 1880 - Liczba stron: 400
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - Liczba stron: 518
...are opposite shall be equal, each to each. Which was to be demonstrated. PROP. V. T1IEOR. 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. 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 - 1806 - Liczba stron: 311
...Which was to be demonstrated. PROP. V. THEOR. THE angles at the base of an isosceles triangle are N. 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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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - Liczba stron: 518
...Which was to ^ be demonstrated. PROP. V. THEOR. THE angles at the base of an isosceles triangle arc equal to one 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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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Tom 5

John Mason Good - 1813
...each, viz. those to which the equal sides are opposite. Prop. V. Theor. The angles at the base of ло 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. •Prop. VI. Tbeor. If two angles uf -a ti ian-1«**...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...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 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 Mile...
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A Treatise on Surveying, Containing the Theory and Practice: To which is ...

John Gummere - 1814 - Liczba stron: 346
...the acute angles be subtracted from 90% the remainder will be the other acute angle. r 8. The angles at the base of an isosceles triangle are equal to one another. 9. If one side of a triangle be produced, the external angle will be equal to the sum of the two internal...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - Liczba stron: 333
...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 also be equal. Let ABC be an isosceles triangle, of which the...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1819 - Liczba stron: 377
...of the triangle and theJirst drawn line is double of the angle contained by the base and the latter. Let ABC be an isosceles triangle, having the side AB equal to AC. From B draw any line BD, and also BE cutting off DE equal to DB; the angle ABD is double of CBE....
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1819 - Liczba stron: 377
...the equal sides, the same ratio that the segment of the base has to the perpendicular upon the base. Let ABC be an isosceles triangle, having the side AB equal to AC. From B and A let fall perpendiculars BD, AE; then will BF : AC :: BE . EA> Since the angles BDA,...
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The First Six Books with Notes

Euclid - 1822 - Liczba stron: 179
...equal (4). PROP- V. THEOR. In an isosceles triangle (BAC) the angles at the base Fig. 18. (due andACB) are equal to one another; and if the equal sides be produced, the angles below the base ( FBC and GCB) shall also be equal. Take any point F in the side produced, cut off AG...
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