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" ... then shall the other sides be equal, each to each; and also the third angle of the one to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, BCA equal to the angles DEF, EFD, viz. "
The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ... - Σελίδα 30
των Alexander Ingram - 1799 - 351 σελίδες
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Chambers's information for the people, ed. by W. and R. Chambers, Τόμος 2

Chambers W. and R., ltd - 1842
...sides opposite to the equal angles in each, then shall the other sides be equal, each to each, and also the third angle of the one to the third angle of the other ; or, if two angles and a side in one triangle be respectively equal to two angles and a corresponding...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 317 σελίδες
...equal angles, common to the two triangles ; therefore their other sides are equal, each to each, and the third angle of the one to the third angle of the other (26. 1.) ; viz. the side AB to the side CD, and AC to BD, and the angle BAC equal to the angle BDC....

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1844 - 317 σελίδες
...sides opposite to the equal angles in each ; then shall the other side be equal, each to each; and also the third angle of the one to the third angle of the...which have the angles ABC, BCA equal to the angles DEF.EFD.viz. ABC to DEF, and BCA to EFD, also one side equal to one side ; and first, let those sides...

Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...equal angles, common to the two triangles ; therefore their other sides are equal, each to each, and the third angle of the one to the third angle of the other, (i. 26.) namely, the side AB to the side CD, and AC to BD, and the angle BAC to the angle BDC. And...

Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 σελίδες
...sides opposite to equal angles in each ; then shall the other sides be equal, each to each : and also the third angle of the one to the third angle of the other. EUCLID 8 ELEMENTS. viz. ABC to DEF, and BCA to EFD ; also one side equal to one side : and first, let...

The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 352 σελίδες
...of that which has the greater base, is greater than the angle contained by the sides equal to them, of the other. Let ABC, DEF be two triangles which have the two sides AB, AC equal to the two DE, DF, each to each ; but the base BC greater than the base EF :...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 317 σελίδες
...equal angles, common to the two triangles ; therefore their - other sides are equal, each to each, and the third angle of the one to the third angle of the other (26. 1.) ; vi2. the side AB to the side CD, and AC to BD, and the angle BAC equal te the angle BDC....

The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...angles in each, is common to both — therefore the other gides are equal (1. 26), each to each, and the third angle of the one to the third angle of the other ; that is, CK is equal to CL, and the angle FKC to the angle FLC : And because CK is equal to CL, KL...

The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847
...the sides opposite to equal angles in each, then shall the other sides be equal, each to each, and the third angle of the one to the third angle of the other. PART. ENUN. — Let ABC, DEF be two As, which have the Zs ABC, BCA = Zs DEF, EFD, each to each ; viz....

The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...in each, or the sides opposite to them ; then shall the other sides be equal, each to each, and also the third angle of the one to the third angle of the other. PROP. XXVII. THEOREM. If a straight line falling upon two other straight lines make the alternate angles...




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