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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. "
Geometry for schools, comprising books i. and ii. of Euclid, with some ... - Side 46
av Euclides - 1883 - 96 sider
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The First Six Books with Notes

Euclid - 1822 - 222 sider
...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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Universal Technological Dictionary: Or, Familiar Explanations of ..., Volum 2

George Crabb - 1823 - 704 sider
...or legs equal. According to the fifth proposition of the first book of Euclid's elements, the angles at the base of an isosceles triangle are equal to one another. ISOSTE'MONES (Bot.) a name given by Haller to one of his classes of plants. [SO'TONl (Med.) an epithet...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 sider
...opposite shall be equal, each to each. Which was to be demonstrated. Proposition. V. Theorem. 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 iide 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 ...

Euclid, John Playfair - 1826 - 326 sider
...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 - 546 sider
...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 be equal. Let ABC be...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1829 - 548 sider
...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...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 Elements of geometry [Euclid book 1-3] in general terms, with notes &c ...

Euclides - 1833 - 304 sider
...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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1833 - 346 sider
...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 anotJier ; and if the equal sides be produced, the angles upon the other side of the base shall be...
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The First Six Books of the Elements of Euclid: With Notes

Euclid - 1833 - 216 sider
...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 - 518 sider
...opposite, shall be equal, 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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