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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 ... - Σελίδα 48
των Euclides - 1879
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

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...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....

Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

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...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...

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 σελίδες
...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 :...

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

Euclid, Edmund Stone - 1765 - 464 σελίδες
...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...

The Elements of Euclid: In which the Propositions are Demonstrated in a New ...

Euclid - 1776 - 264 σελίδες
...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...

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

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...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...

The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 σελίδες
...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...

The Elements of Natural Or Experimental Philosophy: Illustrated ..., Τόμος 3

Tiberius Cavallo - 1803
...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...

The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

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...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*"^ *...

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

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...by BD ; and becaufe 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 the equal angles in each, is common to both; therefore...




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