 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 - Page 13by Edward Atkins - 1876 - 119 pagesFull view - About this book
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...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... | |
 | Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...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,... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...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... | |
 | 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 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... | |
 | 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... | |
 | Euclides - 1834 - 518 pages
...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... | |
 | Euclid - 1835 - 540 pages
...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... | |
 | 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...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... | |
 | Mathematics - 1836 - 488 pages
...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... | |
| |
