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" If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent. "
Euclid, books i. & ii., with notes, examples, and explanations, by a late ... - Page 48
by Euclides - 1879
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - Logarithms - 1723 - 444 pages
...Angle KCF ; and the Right Angle FHC equal to the Right Angle FKC; the two Triangles FHC, FKC fhall have two Angles of the one equal to two Angles of the other, and one Side of the one equal to one Side of the other, -viz.. the Side FC common to each of them....
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Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ...

Euclid, John Keill - Geometry - 1733 - 444 pages
...Angles, contained under the equal Sides, the one greater than the other \ which was to be demonftrated. PROPOSITION XXVI, THEOREM. If two 'Triangles have two Angles of the one equal to fjoo Angles of the other, each to each, and one Side of the one equal to one Side of the other, either...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...bifcfted 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 fide BD, which is oppofite to one of -f\ the equal angles in each, is com- -^ men to both :...
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Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclid - Geometry - 1765 - 492 pages
...c F, but the right angle FH c is equal to the right angle FK c : The two triangles FH c, FK c, will have two angles of the one equal to two angles of the other, and one fide of the one equal to one fide of the other, viz. the common fide F c, which is oppofite...
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The Elements of Euclid: In which the Propositions are Demonstrated in a New ...

Euclid - Geometry - 1776 - 326 pages
...EDF. If not, it will be equal or lefs. EDF, it muft be greater. Wherefore, &c. PROP. XXVI. THEO R. TF two triangles have two angles of the one equal to two angles •*• of the other, each to each, and aJiJe of the one equal to ajide of the other, either thejide lying between the equal angks, orj'ubtending...
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The Elements of Euclid,: In which the Propositions are Demonstrated in a New ...

Euclid - Geometry - 1776 - 318 pages
...neither equal nor lefs than EDF, it muft be greater. Wherefore, &c. PROP. XXVI. THEOR, TF two tr tangles have two angles of the one equal to two angles •*• of the other, each to 'eachy and a fide of the one equal to a fide of the other^ either the fide lying between ths equal...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1781 - 534 pages
...bifefted 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 Tide BD, which is oppofite to one of the TJ Cqual angles in each, is common ** to bbth...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...Therefore, &c. Q^ ED COR. Likewife, if two folid angles be each contained by three plane angles, and have two angles of the one equal to two angles of the other, and thefe angles be in planes which have the fame inclination to one another ; the third angle of the...
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The Elements of Natural Or Experimental Philosophy, Volume 3

Tiberius Cavallo - Aeronautics - 1803 - 638 pages
...die angle FGD is equal to the angle CGD; whence it follows, that the triangles DGC and DGF, Tiaving two angles of the one equal to two angles of the other, and a correfpondent fide, viz. DG, common, are equal in every refpect J ; * It is ufelefs to take notice...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...bifefted by BD, and that the right angle BED is equal to the right angle BFD, the two triangles EBD, FED have two angles of the one equal to two angles of the other, and the fide BD,' which is oppofite to cme of the TJ -Tf |N| eq*MfiB(fcgles in each, is common*"^ *...
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