 | Joseph Fenn - 1769 - 536 sider
...(FHG, ACB,), have the three fides (FH, HG, GF,) of the one equal to the three fides (AC, CB, В A,) of the other, each to each, they are equal to one another, & the angles contained by the equal fides are likewifc equal, each to each, Hypothefis. 7. FH = AC.... | |
 | Benjamin Donne - 1796 - 120 sider
...the line DF will coincide with AC, and EF with BC. THEOREM 16. If two triangles have three sides of one equal to the three sides of the other, each to each, thefe triangles are equal in every rcfpeft. — 8 E. 1, or 17 D. 1. Ci» For if the triangle DEF be... | |
 | Daniel Cresswell - 1816 - 352 sider
...which are equal to them, are equal to one another. (2l6.) COR. 2. Hence, if two spherical triangles have the three sides of the one equal to the three sides of the other, or two sides and the included angle in the one, equal to two sides and the included angle, in the other,... | |
 | Adrien Marie Legendre - 1819 - 574 sider
...will be equal to the arc EJVG. For, if the radii CD, OG, be drawn, the two triangles ACD, EOG, will have the three sides of the one equal to the three sides of the other, each to each, namely, AC = EO, CD= OG and AD = EG; therefore these triangles are equal (43); hence the angle ACD... | |
 | Adrien Marie Legendre, John Farrar - 1825 - 280 sider
...will be equal to the arc ENG. For, if the radii CD, OG, be drawn, the two triangles ACD, EOG, will. have the three sides of the one equal to the three sides of the other, each to each, namely, AC = EO, CD = OG and AD=. EG ; therefore these triangles are equal (43) ; hence the angle A... | |
 | Adrien Marie Legendre, John Farrar - 1825 - 294 sider
...will be equal to the arc ENG. For, if the radii CD, OG, be drawn, the two triangles ACD, EOG, will have the three sides of the one equal to the three sides of the other, each to each, namely, AC— EO, CD = OG and AD = EG ,. therefore these triangles are equal (43) ; hence the angle... | |
 | Adrien Marie Legendre - 1825 - 276 sider
...line AD from the vertex A to the point D the middle of the base BC ; the two triangles ABD, ADC, will have the three sides of the one, equal to the three sides of the qther, each to each, namely, AD common to both, AB — AC, by hypothesis, and BD = DC, by construction... | |
 | George Lees - 1826 - 276 sider
...base at right angles. OF GEOMETRY. Book I. s Sup. PROP. IV. THEOREM. If two triangles, ABC and DEF, have the three sides of the one equal to the three sides of the other, each to each, viif. AB to DE, AC to DF, and BC to EF, the triangles are equal in every respect. Let AB be that side... | |
 | James Hayward - 1829 - 218 sider
...their parts ; they are not different, therefore, but equal; and we say, universally, When two triangles have the three' sides of the one equal to the three sides of the other respectively, the angles will also be equal, respectively, and the two triangles will be equal in all... | |
 | John Playfair - 1829 - 210 sider
...without demonstration. PROPOSITION VIII. THEOREM If two triangles have the three sides of one triangle equal to the three sides of the other, each to each, they are equal in all respects. Let ABC, DEF be two triangles having the side AB equal to DE, and AC to DF, and BC... | |
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If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent. 
