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" 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 side AB is equal to... "
Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ... - Seite 16
von Sir John Leslie - 1809 - 493 Seiten
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 Seiten
...which the equal sides 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 andther; and if the equal sides be produced, the angles upon the other side of the base••shall...
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Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious ...

Sir John Leslie - 1817 - 456 Seiten
...2.) are equal, and the angle ACD or ACE is equal to BCD or BCE. Again, the inferior triangles ACE and BCE, having the side AC equal to BC, CE common, and...the base AE is equal to BE. / PROP. VIII. THEOR. The exterior angle of a triangle is greater than either of its interior opposite angles. The exterior angle...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 Seiten
...the equal sides 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 the equal sides be produced, the angles upon the other side of the base shall...
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Elements of Geometry, and Plane Trigonometry: With an Appendix, and Very ...

Sir John Leslie - 1820 - 488 Seiten
...angle being always acute; wherefore that single angle may serve to designate the triangle. PROP. X. THEOR. The angles at the base of an isosceles triangle...isosceles triangle ABC are equal. For draw (I. 5.) I51) bisecting the vertical angle ABC. Because, by hypothesis, BA is equal to BC, the side BD common...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 Seiten
...which the equal sides 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...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1829 - 548 Seiten
...the equal sides 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 the equal sides be produced, the angles upon the other side of the base shall...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 Seiten
...the equal sides 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 the equal sides be produced, the angles upon the other side of the base shall...
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The Element of Geometry

John Playfair - 1836 - 148 Seiten
...to which the equal sides are opposite shall be equal, each to each. Which was to be proved. 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...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 Seiten
...which the equal sides 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 the equal sides be produced, the angles upon the other side of the base shall...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 Seiten
...the equal sides 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 the equal sides be produced, the angles -upon the other side of the base shall...
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