 | Robert Simson - Trigonometry - 1827 - 546 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... | |
 | John Playfair - Euclid's Elements - 1833 - 346 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... | |
 | Euclides - 1833 - 304 pages
...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... | |
 | Euclid - Euclid's Elements - 1833 - 216 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... | |
 | Euclid - 1835 - 540 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... | |
 | John Playfair - Euclid's Elements - 1835 - 336 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... | |
 | John Playfair - Geometry - 1836 - 148 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.... | |
 | Mathematics - 1836 - 488 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... | |
 | John Playfair - Euclid's Elements - 1836 - 488 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... | |
 | George Darley - Euclid's Elements - 1836 - 172 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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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. 
