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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. Let ABC be an isosceles triangle, of which the side AB is equal to AC, and let the... "
Elements of geometry, based on Euclid, books i-iii - Side 13
av Edward Atkins - 1876 - 119 sider
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 sider
...equal, each to each. Which was to be demonstrated. Proposition. V. Theorem. The angles at the base of an Isosceles triangle are equal to one another...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 AB is equal to...
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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
...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 an isosceles triangle, of which the side AB is equal to AC, and let the straight lines AB, AC be produced to D and E: the angle ABC shall be equal...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1833 - 346 sider
...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 equal. Let ABC be an isosceles triangle, of which the side AB is equal to AC, and let the straight...
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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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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
...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 - 540 sider
...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...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 AC, and let the straight...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1836 - 488 sider
...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 an isosceles triangle, of which the side AB is equal to AC, and let the straight lines AB, AC be produced to D and E, the angle ABC shall be equal...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 sider
...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 one another...upon the other side of the base shall also be equal. COR. Every equilateral triangle is also equiangular. VI. If two angles of a triangle be equal to one...
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