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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. "
Elements of geometry, based on Euclid, book i - Page 33
by Edward Atkins - 1877
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - Logarithms - 1723 - 444 pages
...Angle AEG is * equal to the Angle BEH; therefore AGE, BEH, are two Triangles, having two Angles of the one equal to two Angles of the other, each to each, and one Side AE equal to one Side EB, viz- thole that are at the equal Angles ; and fo the other Sides $16.1. of...
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Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ...

Euclid, John Keill - Geometry - 1733 - 444 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...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...FCK is equal to the right angle FCL. therefore in the n*o triangles FKC, FLC, there ire rwo angles of one equal to two angles of the other, each to each, and the fide FC, which is adjacent to the equal angles in each, is common to both ; therefore the other...
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Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclid - Geometry - 1765 - 492 pages
...remaining angle B AC equal to the remaining angle ED F. If therefore 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 which is between the equal angles, or that...
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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...
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The Elements of Euclid: In which the Propositions are Demonstrated in a New ...

Euclid - Geometry - 1776 - 326 pages
...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 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...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ...

John Keill - Geometry - 1782 - 476 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. Angles...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...is equal to the right angle FCL : therefore in the two triangles FKC, FLC, there are tw6 angles of one equal to two angles of the other, each to each, and the fide FC, which is adjacent to the equal angles Bonk IV. ^ each, is common to both ; therefore the...
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An essay on mechanical geometry, explanatory of a set of models

Benjamin Donne - 1796 - 120 pages
...nwji be equal to the remaining angle of the other. THEOREM 15. If two triangles have two angles of one equal to two angles of the other, each to each, and one s1de of one equal to one D side side of the other, the triangles are equal in every refpcEl. — 20...
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