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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. either the sides adjacent to the equal... "
The Elements of Geometry, Symbolically Arranged - Pagina 32
di Great Britain. Admiralty - 1846
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

Euclid, John Keill - 1723 - 364 pagine
...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 ...

John Keill - 1733 - 397 pagine
...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 1 46. i. of the one fhall be f equal to...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 pagine
...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 - 1765 - 464 pagine
...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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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1772 - 399 pagine
...LF C. Therefore the Angle KFC is equal to the Angle CF L. And fo FKC, FLC, are two Triangles, having two Angles of the one equal to two Angles of the other, each to each, and one Side of the one equal to one Side of the other, viz. the common Side FC ; wherefore they •f- z6. i. fliall...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 pagine
...And the angle AEG is equal to the angle BEH a ; therefore the triangles AEG, BEH have two angles of one equal to two angles of the other, each to each, and the fides AE, EB, adjacent to the cqua.t angles, equal to one another ; wherefore they fhall have their...
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The Elements of Euclid: In which the Propositions are Demonstrated in a New ...

Euclid - 1776 - 264 pagine
...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: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1781 - 466 pagine
...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 First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 pagine
...And the angle AEG is equal to the angle BEHa ; therefore the triangles AEG, BEH have two angles of one equal to two angles of the other, each to each, and the fides AE, EB, adjacent to the equal angles, equal to one another; wherefore they fhall have their...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ...

John Keill - 1782 - 399 pagine
...Sides, the one greater than the other ; which was to be ckmonilrated. PROPROPOSITION XXVI. THEOREM. ff two Triangles have two Angles of the one equal to...two Angles of the other, each to each, and one Side of the one equal to one Side of the other, either the Side lying between the equal Angles, or which...
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