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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 Euclid, Viz: The Errors, by which Theon, Or Others, Have ... - Page 32
by Robert Simson - 1775 - 520 pages

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

John Keill - Logarithms - 1723 - 364 pages
...Angle HAC is alfo equal to the Angle MDF. Therefore the two Triangles MDF, HAC, 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, viz. that which is fubtended by one of the equal Angles...

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

John Keill - Trigonometry - 1733 - 397 pages
...Angle HAG is alfo equa to the Angle MDF. Therefore the two Triangles MDF, HA C, 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, viz. that which is fubtended by one of the equal Angles...

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

Robert Simson - Trigonometry - 1762 - 466 pages
...to the angle EBC. 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 equal angles, equal to one another ; wherefore they fhall have their...

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

Euclid, Edmund Stone - Geometry - 1765 - 464 pages
...Clavius has alfo tranflated them into Latin. PROP. XXVI. THEO R. If two triangles have two angles of the one equal to two angles of the other, each to each, and one fide of the one equal to one fide of the other, either that fide which is hetween the equal angles, or that...

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

Euclid - Geometry - 1776 - 264 pages
...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 ...

Robert Simson - Trigonometry - 1781 - 466 pages
...it ; therefore the angle BAC is greater than the angle EDF. Wherefore if two triangles, &c. Q._E. D. PROP. XXVI. THEO R. TF two triangles have two angles...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...

The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 pages
...Fl angle FCK is equal to the right angle FCL : Therefore, in the two triangles FKC, FLC, there ate two angles of one equal to two angles of the other, each t» each, and the fide FC, which is adjacent to the equal angles in each, is common to both ; theiefore...

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

John Keill - Logarithms - 1782 - 399 pages
...is alfo equal to the Angle MDF ; therefore the two Triangles MDF, HAC, have two Angles af thef-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. that which is fubtencfed by one of the equal....