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Bøker Bok 3140 av 189If 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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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 sider
...that which has the greater base, shall be greater than the angle contained by the sides of the other. XXVI. 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 Element of Geometry

John Playfair - 1836 - 114 sider
...four right angles : therefore all the exterior angles are equal to four right angles. PROP. VI. 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, the triangles shall be equivalent. Let ABC, DEF be two...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 sider
...not equal to it ; therefore the angle BAC is greater than the angle EDF. PROPOSITION XXVI. THEOREM. 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 ; namely, either the sides adjacent to the equal angles,...
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Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

C. Reiner - 1837 - 215 sider
...angle acb; and the triangle bdc must coincide with the triangle abc, and be equal to it. M. — Hence, if two triangles have two angles of the one equal to two angles of the other, each to each, and have likewise one side equal to one side, how must these sides be situated in order...
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Lessons on form; or, Introduction to geometry as given in a Pestalozzian ...

Charles Reiner - 1837
...and if the equal angles be subtracted from these equals, the remaining angles must be equal. M.—If two triangles have two angles of the one equal to two angles of the other, each to each, what may be said of the remaining third angles ? P.—They must be equal,—for the reason...
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The mechanical Euclid, containing the elements of mechanics and hydrostatics

William Whewell - 1837
...angle; therefore MLN is equal to LKH; and the angles at H and at N are right angles. Therefore the triangles have two angles of the one equal to two angles of the other ; and the side KL is equal to LM. Therefore the triangles are equal, and HL is equal to MN; that is,...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid - 1837 - 390 sider
...is equal (const.) to FBD, and that the right angles BED, BFD are equal, the two triangles EBD, FBD have two angles of the one equal to two angles of the other, and the side BD, which is opposite to one of the equal angles in each, is common to both ; therefore...
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Solid and spherical geometry and conic sections: being a treatise on the ...

A. Bell, Robert Chambers, William Chambers - 1837 - 164 sider
...Def. 7)i and therefore the angles AFG, AEG, are also equal. The triangles AGE, AGF, have therefore two angles of the one equal to two angles of the other, and they have also the side AG common ; wherefore they are equal, and the side AF is equal to the side...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...ij greater than the angle EDF. Wherefore, if two triangles, &c. Q. t, n. PROP. XXVI. THEOR. °V'.' 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, vis. either the sides adjacent to the equal angles,...
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The Complete Mathematical and General Navigation Tables: Including Every ...

Thomas Kerigan - 1838
...the angle BCD, by the aforesaid proposition. And because the two triangles ADF and BCF have, thus, two angles of the one equal to two angles of the other, viz., the angle FAD to the angle FB C, and the angle AD F to the angle BCF; and the side AF of the...
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