| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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.... | |
| 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... | |
| 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... | |
| 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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