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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.
Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ... - Page 190
by John Keill - 1723 - 364 pages

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

Euclid, John Keill - Geometry - 1733 - 444 pages
...•t 4- i. equal Angles AED, CEB ; the Bafe AD fhall be f equal to the Bafe CB, and the Triangle AED equal to the Triangle CEB ; and fo likewife is the...two Triangles, having two Angles of the one equal to the two Angles of the other, each to eachj and one Side AE equal to one Side EB, viz. thofe that are...

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

Robert Simson - Trigonometry - 1762 - 488 pages
...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 - Geometry - 1765 - 492 pages
...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...

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

John Keill - Geometry - 1772 - 462 pages
...alternate: But the Angle DT Y is 1 15- 1- J equal to the Angle GTS; therefore DTY, GTS, are twoTriangles, 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...

## The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...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...

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

Euclid - Geometry - 1776 - 326 pages
...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,: In which the Propositions are Demonstrated in a New ...

Euclid - Geometry - 1776 - 318 pages
...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...

## The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...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...