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Bøker Bok 5160 av 192If two triangles have two angles of the one equal to two angles of the other, each...
" If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. "
An Elementary Treatise on the Geometrical and Algebraical Investigation of ... - Side 16
av Daniel Cresswell - 1817 - 436 sider
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Key to System of practical mathematics. 2 pt, Utgave 17

1845
...1), and the side BC is = the side BA, being sides of an equilateral triangle ; .-. the Д» CBD, ABE, have two angles of the one equal to two angles of the other, and a side lying between these equal angles also equal ; .-• these triangles are equal in every respect,...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...the angle BAC is greater than the angle EDF. Wherefore, If two triangles fp. QET>. PROP. XXVI. THEOR. If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal angles, or...
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The Elements of Geometry, Symbolically Arranged

1846
...proved Z. BAC ;£ L EDF, .'. L BAC > L EDF. Wherefore, if two triangles, &c. PROP. XXV. THEOR. 26. lEu. If two triangles have two angles of the one, equal to two angles of the other, each to each, and one side equal to one side ; viz. either the sides adjacent to the equal angles,...
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The Elements of Geometry, Symbolically Arranged

1846
...proved Z BAG -^ Z EDF, .-. Z BAC > Z EDF. Wherefore, if two triangles, &c. PROP. XXV. THEOR. 26. lEu. If two triangles have two angles of the one, equal to two angles of the other, each to each, and one side equal to one side ; viz. either shall the other sides be equal, each to...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 317 sider
...it is nor equal to it : therefore the angle BAC is greater than the angle EDF. B PROP. XXVI. THEOR. If two triangles have two angles of the one equal to two angles of the other, each to each ; and one side equal to one side, viz. either the sides adjacent to the equal angles,...
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An Introduction to Geometry and the Science of Form: Prepared from the Most ...

Anna Cabot Lowell - 1846 - 161 sider
...other, each to each. Dem. Let. angle B = E, and C = F, (fig. 142.) Since two angles of one triangle are equal to two angles of the other, the third angle of the one must be equal to the third angle of the other, (133.) Consequently all the angles of the one are equal...
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Euclid's Elements of geometry, the first three books (the fourth, fifth, and ...

Euclides - 1846
...angle F, nor less than it, it will be greater. PROPOSITION XXVI. THEOREM. If two triangles (BAC, DEF) have two angles of the one equal to two angles of the other (B to D and C to F) ; and a side of one equal to a side of the other, that is, either the sides which...
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847
...sides &e. — QED This Proposition is the converse of the preceding. PROP. XXVI. THEOR. GEN. EMUN. — If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal angles, or...
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An elementary course of mathematics, Volum 2

Samuel Hunter Christie - 1847
...the angle EBC : and the angle AEG is equal to the angle BEH (I. 15): therefore the triangles AEG, BEH have two angles of the one equal to two angles of the other, each to each, and the sides AE, EB, adjacent to the equal angles, equal to one another: wherefore they...
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Elements of Geometry: With Practical Applications ...

George Roberts Perkins - 1847 - 308 sider
...the angle BAC to the angle DCA, and the angle BCA to the angle DAC ; hence the two triangles, having two angles of the one equal to two angles of the other, have also their third angles equal (Prop. xxiv, Cor. 1), namely, the angle B equal to the angle D,...
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