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" 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. "
The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ... - Side 94
av Euclid, James Thomson - 1837 - 390 sider
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 sider
...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 Mechanical Euclid: Containing the Elements of Mechanics and Hydrostatics ...

William Whewell - 1837 - 182 sider
...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, to RS....
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Solid and Spherical Geometry and Conic Sections: Being a Treatise on the ...

A. Bell - 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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Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - 1837 - 215 sider
...angles of the one is equal to the sum of the remaining two angles of the other. 2. If two triangles have two angles of the one equal to two angles of the other, each to each, the third angle of the one is equal to the third angle of the other ; that is, the triangles...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 sider
...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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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...to KCF, and the right angle FHC equal to the right angle FKC ; therefore in the triangles FHC, FKC there are two angles of the one equal to two angles of the other, each to each ; and the side FC, which is opposite to one of the equal angles in each, is common to...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Euclid, Robert Simson - 1838 - 416 sider
...by BD, and that the right angle BED is equal to the right angle BFD, 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 their...
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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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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 sider
...and the right angle FCK is equal to the right angle FCL: therefore, in the two triangles FKC, FLC, there are two angles of the one equal to two angles of the other, each to each, and the side FC, which is adjacent to the equal angles in each, is common to both; therefore...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...by BD, and that the right angle BED is equal to the right angle BFD, 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 their...
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