 IMS the greater base shall be greater t/uin the angle contained by the sides equal to them of the other. Let ABC, DEF, be two triangles, which have The two sides AB, AC...  Pure mathematics - Page 112by Edward Atkins - 1874Full view - About this book
 | Alexander Bryan Johnson - Language Arts & Disciplines - 1836 - 290 pages
...assent to mathematical propositions. Proposition IV, Theorem 1st, in the first book of Euclid, says: — "Let ABC, DEF, be two triangles, which have the two...AB, AC, equal to the two sides, DE, DF, each to each ; viz, AB to DE, and AC to DF ; and the angle BAC, equal to the angle EDF : the base BC shall be equal... | |
 | John Playfair - Geometry - 1836 - 148 pages
...their other angles shall be equal, each to each, viz. those to which the equal sides are opposite. + Let ABC, DEF be two triangles which have the two sides...AB, AC equal to the two sides DE, DF, each to each, viz. AB to DE, and AC to DF ; and the angle BAC equal to the angle EDF, the base BC shall be equal... | |
 | John Playfair - Euclid's Elements - 1836 - 488 pages
...two sides of the other ; the base of that which has the greater angle shall be greater than the base of the other. Let ABC, DEF be two triangles which have the two les AB, AC equal to the two DE, DF, each to each, viz. AB equal to DE, and AC to DF ; but the angle... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...bases unequal ; the angle contained by the sides of that which has the greater base, is greater than the angle contained by the sides equal to them, of...triangles which have the two sides AB, AC equal to the two DE, DF, each to each ; but the base BC greater than the base EF : the angle A is likewise greater than... | |
 | John Playfair - Euclid's Elements - 1837 - 332 pages
...the sides of that which has the greater base, shall be greater than the angle contained by the sides of the other. Let ABC, DEF be two triangles which...AB, AC, equal to the two sides DE, DF, each to each, viz. AB equal to DE, and AC to DF : but let the base CB be greater than the base EF, the angle BAC... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...to them, of the other ; the base of that which has the greater angle shall he greater than the hase of the other. Let ABC, DEF, be two triangles which have the two sides AB, AC, equal to the two DE, DF, each to each ; namely, AB equal to DE, and AC to DF ; but the angle BAC greater than the angle... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...the other; the angle contained by the sides of that which has the greater base shall be greater than the angle contained by the sides equal to them of the other. Steps of the Argument. 1. Prove that Z BAC cannot be = Z EUF, 2. that Z BAC cannot be < z. EDF, 3.... | |
 | Charles Reiner - Geometry - 1837 - 246 pages
...base of the other, the angle contained by the sides of that which has the greater base is greater than the angle contained by the sides, equal to them, of the other. 6. The angle b dc is greater than the angle ba c. 7. The angles dbc and dcb are less than the angles... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...to them, of the other ; the base of that which has the greater angle shall be greater than the base of the other.* Let ABC, DEF be two triangles which have the two sides AB, AC equal to the two DE, DF, each to each, viz. AB equal to DE, and AC to DF ; but the angle BAC greater than the angle... | |
 | Euclid - Geometry - 1838 - 470 pages
...to them, of the other ; the base of that which has the greater angle shall be greater than the base of the other.* Let ABC, DEF be two triangles which have the two sides AB, AC equal to the two DE, DF, each to each, viz. AB equal to DE, and AC to DF ; but the angle BAC greater than the angle... | |
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