 If two triangles have two sides and the included angle of the one, equal to two sides and the included angle of the other, each to each, the two triangles will be equal in all their parts." Axiom 1. "Things which are equal to the same thing, are equal...  Elements of Geometry and Trigonometry - Side 93av C. Davies - 1867Uten tilgangsbegrensning - Om denne boken
 | Elias Loomis - 1858 - 256 sider
...is equal to CD, and BC is common to the two triangles ABC, BCD, the two triangles ABC, BCD have two sides and the included angle of the one, equal to two sides and the included angle oi the other ; therefore, the side AC is equal to BD (Prop. VI.), and the angle ACB to the angle CBD.... | |
 | William E. Bell - 1857 - 250 sider
...FAGE is equivalent to the square P. Again, the two triangles ABH rod CBI are equal, having also two sides and the included angle of the one equal to two sides and the included angle of the other ; and AHB is half of 'he square X, and CBI is half of the rectangle FBIG : therefore,... | |
 | William E. Bell - 1859 - 226 sider
...AXS:BX8:: A:B; (AX8)XB=(BX8)XA, AX8:BX8::A:B. Proposition VIII. Theorem. Wlien two triangles have two sides and the included angle of the one equal to two sides and the included angle of tJn other, each to each, the two triangles are equal. 1n the triangles ABC and DEF, let AB=DE, AC=DF,... | |
 | Horatio Nelson Robinson - 1860 - 470 sider
...draw the line C'Elf. Take AD, equal to AE, and draw BD and DC. Now, the two triangles, CAD and CAE, having two sides and the included angle of the one equal to the two sides and included angle of the other, each to each, are equal, and CE = CD; but in the triangle,... | |
 | Elias Loomis - 1861 - 244 sider
...right angles. PROPOSITION VI. THEOREM. If two triangles have two sides, and the included angle of t/ie one, equal to two sides and the included angle of the other > each to each, the two triangles will be equal, their third sides will be equal, and their other angles will be equal,... | |
 | Benjamin Greenleaf - 1862 - 532 sider
...construction, AG is equal to DE ; hence А П is equal to D F. Therefore the two triangles AGH, DEF, having two ¡sides and the included angle of the one...the included angle of the other, each to each, are themselves equal (Prop. V. Bk. I.). But the triangle AGH is similar to А В С ; therefore DEF is... | |
 | Benjamin Greenleaf - 1861 - 638 sider
...the same square ; and BF equal to BC, for the same reason ; therefore the triangles ABF, HBC have two sides and the included angle of the one equal to two sides and the included angle of the other; hence they arc themselves equal (Prop. V. Bk. I.). EG ELEMENTS OF GEOMETRY. same altitude... | |
 | Benjamin Greenleaf - 1862 - 518 sider
...the same square ; and BF equal to BC, for the same reason ; therefore the triangles ABF, HBC have two sides and the included angle of the one equal to two sides and the included angle of the other ; hence they are themselves equal (Prop. V. Bk. I.). G ELEMENTS OF GEOMETRY. EG same altitude... | |
 | Evan Wilhelm Evans - 1862 - 116 sider
...and the angle BCN is equal to the corresponding outer angle GHL ; therefore, the triangles BCN, GHL, having two sides and the included angle of the one equal to two sides and the included angle of the other, are equal (Theo. VII, B. I). If now the solid FGLE be applied to the solid ABND, so that... | |
 | Benjamin Greenleaf - 1863 - 504 sider
...the same square ; and BF equal to BC, for the same reason ; therefore the triangles ABF, HBC have two sides and the included angle of the one equal to two sides and the included angle of the other ; hence they are themselves equal (Prop. V. Bk. I.). ELEMENTS OF GEOMETRY. K same altitude... | |
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