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" But because the triangle KGN is isosceles, the angle GKN is equal to the angle GNK, and the angles GMK, GMN are both right angles by construction ; wherefore, the triangles GMK, GMN have two angles of the one equal to two angles of the other, and they... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Página 233
por Euclid, John Playfair - 1826 - 320 páginas
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1723 - 444 páginas
...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. And fo...
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Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ...

Euclid, John Keill - 1733 - 444 páginas
...F. But the Right Angle AFE is equal to the Right Angle BFE ; therefore the two Triangles EAF, EBF, have two Angles of the one equal to two Angles of the other, and the Side EF is common to both. Wherefore the other Sides 146. i. of the one fhall be f equal to the...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 488 páginas
...bifttfed by BD, and that the right angle BED is equal to the right angle BFD, the two ttiangles EBD, FBD have two angles of the one equal to two angles of the other, and the fide BD, which is oppoilte to one of the equal angles in each, is com-rv •*• G C nwn to both...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1772 - 462 páginas
...Angle KCF, and the Right An»ie FHC equal to the Right Angle FKC; the twoTiiangles 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 SideF C common to each of them : the Angle...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1781 - 534 páginas
...bifected by BD, and that the right angle BED is equal to the right angle BFD, the two triangles EBD,F6D have two angles of the one equal to two angles of the other, and the fide BD, which is oppofite to one of the TJ T-» ^ e"qual angles in each, is common ** ,*- ' to...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ...

John Keill - 1782 - 476 páginas
...Angle FBD, and the Right Angle BED is equal to the Rifht Angh BFD ; then the two Triangles EBD, DBF) have two Angles of the one, equal to two Angles of the other, and one Side DB common to both, viz. viz. that which fubttnds the equal Angles';' therefore the other Sides...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - 1795 - 462 páginas
...KGN ; therefore the bafe KL is equal to the bafe KN<1. But becaufe the triangle KGN is ifof- a celes, the angle GKN is equal to the angle GNK, and the angles GMK, GMN are both right angles by conírruítíon; wherefore, the triangles GMK, GMN Ime two angles of the one equal to two angles of...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 374 páginas
...biftcted by BD, and that the right angle BED Is equal to the righr 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 oppciite to one of the equal angles in each, is common to C both ; therefore...
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The Elements of Natural Or Experimental Philosophy, Volumen3

Tiberius Cavallo - 1803 - 638 páginas
...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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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - 1804 - 468 páginas
...therefore the bafe KL is equal to the bafe KN <i. But becaufe the triangle KGN is ifof- d + .i. celes, trie angle GKN is equal to the angle GNK and the angles GMK, GMN are both right angles by conftruchoa; wherefore, the triangles GMK, GMN have two angles of the one equal to two nugles of the...
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