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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 ... - Pągina 190
per John Keill - 1723 - 364 pągines
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1733 - 397 pągines
...•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...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 pągines
...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, Edmund Stone - 1765 - 464 pągines
...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 - 399 pągines
...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...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 pągines
...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 pągines
...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 First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 pągines
...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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Elements of Geometry: Containing the First Six Books of Euclid, with Two ...

John Playfair - 1795 - 400 pągines
...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
...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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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 pągines
...Therefore, &c. Q^ ED COR. Likewife, if two folid angles be each contained by three plane angles, and have two angles of the one equal to two angles of the other, and thefe angles be in planes which have the fame inclination to one another ; the third angle of the...
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