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 Βιβλία Βιβλία FGL ; (vi. 6.) and therefore similar to it ; (vi. 4.) wherefore the angle ABE is equal to the angle FGL: and, because the polygons are similar, the whole angle ABC is equal to the whole angle FGH ; (vi. Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ... - Σελίδα 77
των Horatio Nelson Robinson - 1865 - 444 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο ## Elements of Geometry

abbé Rossignol (Jean-Joseph) - 1787 - 162 σελίδες
...be 5 identical ; 'which is abfurd, fmce their angles are unequal. PROP. LXIIH * Triangles which have an angle in one equal to an angle in the other, and the fides about thefe angles proportional, are equiangular. If, in the two triangles BAC, NMP, the angle... ## Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

John Playfair - 1795 - 400 σελίδες
...to the angle GFL a, and BA is to AE, as GF to FL " : wherefore, becaufe the triangles ABE, FGL have an angle in one equal to an angle in the other, and their fides about theft thefe equal angles proportionals, the triangle ABE is equi- BookV^ angular... ## The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 σελίδες
...to GFL », anda i.Def.6. BA is to AE, as GF to FL a : Wherefore, becaufe the triangles ABE, FGL have an angle in one equal to an angle in the other, and their fides about thefe angles proportionals, the triangle ABE is equiangular b, and therefore fimilar... ## A Course of Mathematics: For the Use of Academies as Well as ..., Τόμος 1

Charles Hutton - 1812
...which is absurd, since their angles arc unequal. THEOREM LXXXVI. Triangles, which have an Angle in the one Equal to an Angle in the other, and the Sides about these angles Proportional, are Equiangular. LET ABC, DEF, be two triangles, having the angle A = the angle... ## The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...GFL a , and BA is to AE, as *~~*~** GFtoFL3: Wherefore, because the triangles ABE, FGL "' "' " have an angle in one equal to an angle in the other, and theirsidesaboutthese equal angles proportionals, the triangle ABE is equiangular b , and therefore... ## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 σελίδες
...angle GFLa, mid BA is to AE, as ^TT* GFtoFL": Wherefore, because the trianglc.s ABE, FGL " ""' "' have an angle in one equal to an angle in the other, and their sidesabout these equal angles proportionals, the triangle ABE is equiangular11, and therefore... ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 σελίδες
...(def. 1. 6.), and BA : AE : : GF : FL (def. 1. 6.) : wherefore, because the triangles ABE, FGL have an angle in one equal to an angle in the other, and their sides about these equal angles proportionals, the triangle ABE is equiangular (6. 6.), and therefore... ## A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - 1822
...which is absurd, since their angles are unequal. THEOREM LXXXVI. Triangles, which have an Angle in the one Equal to an Angle in the other, and the Sides about these angles Proportional, are Equiangular. LET ABC. DBF, be two triangles, haying the angle A = the angle... ## A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 σελίδες
...def. 6.) and BA is to AE, as GF to FL: (1. def. 6.) Wherefore, because the triangles ABE, FGL, have an angle in one equal to an angle in the other, and their sides about these equal angles proportionals, the triangle ABE is equiangular, (6. в.) and therefore... ## The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 σελίδες
...and BA is to AE*, » 1 D(* 6. as GF to FL : therefore, because the triangles ABE, 1 Def. 6. FGL have an angle in one equal to an angle in the other, and their sides about these equal angles, propor* 6. 6. tionals, the triangle ABE is equiangular* to the...