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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: The Errors, by which Theon, Or Others, Have Long Ago ... - Page 15
by Robert Simson - 1806 - 518 pages
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 513 pages
...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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1833 - 333 pages
...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...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 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 - Euclid's Elements - 1833 - 183 pages
...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 ...

Euclid - 1835 - 513 pages
...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...be an Isosceles triangle, of which the side AB is equal to AC, and let the straight line AB, AC be produced Book I. to D and E ; the angle ABC shall...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1835 - 316 pages
...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 - Geometry - 1836 - 114 pages
...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...angles upon the other side of the base shall be equal. Which was to be proved. COR. Hence, every equilateral triangle is also equiangular. PROP. VI. THEOR....
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 472 pages
...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...produced, the angles 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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1836 - 471 pages
...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...produced, the angles upon the other side of the base shall also 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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A System of Popular Geometry: Containing in a Few Lessons So Much of the ...

George Darley - Euclid's Elements - 1836 - 128 pages
...enunciation and proof of this theorem are as follows : The an9les at the base of an equal-sided trian9le are equal to one another; and if the equal sides be produced, the an9les upon the other side of the base shall be also, equal. Let ABC be a triangle, of which the side...
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