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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. "
Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ... - Pàgina 10
per Pierce Morton - 1830 - 272 pàgines
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1723 - 444 pàgines
...Alternate. But the Angle DT Y, is t equal to the Angle GTS. Therefore * if. 1• DTY, GTS are two Triangles, having two Angles of the one equal to two Angles of the other, as likewife one Side of the one equal to one Side of the other, viz. the Side DY equal to the Side...
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Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ...

Euclid, John Keill - 1733 - 444 pàgines
...alternate. But the Angle DTY, is t equal to the Angle GTS. Therefore J 15. DTY, GTS are two Triangles, having two Angles of the one equal to two Angles of the other, as likewife one Side of the one equal to one Side of the other, viz. the Side DY equal to the Side...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 488 pàgines
...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 - 492 pàgines
...the angle I, TY [by i5. i.] is equal to the angle GTS; Therefore there are two triangles DTY, GTS, having two angles of the one equal to two angles of the othsr, each to each, and one fide of the one equal to one fide of the other, oppofite to one of the...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1772 - 462 pàgines
...double to 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-...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 534 pàgines
...EDF. Wherefore, if two triangles, &c. QJLD. PROP. XXVI. THEO R. TF two triangles have two angles of one equal to two angles of the other, each to each ; and one fide equal to one fide, viz. either the fides adjacent to the equal angles, or the fides oppofite...
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The Elements of Euclid: In which the Propositions are Demonstrated in a New ...

Euclid - 1776 - 326 pàgines
...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 - 1776 - 318 pàgines
...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 First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pàgines
...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 - 476 pàgines
...Therefore the Angle KFG is equal to the Angle CF L. And fo FKC, FLC, are two Triangles, having two An' gles of the one equal to two Angles of the other, each to each, and one Side of the one equal to one 6iJe of the other, viz. the common Side FC ; wherefore they f z«....
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