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" Carol. 4. Parallelograms, or triangles, having an angle in each equal, are in proportion to each other as the rectangles of the sides which are about these equal angles. THEOREM LXXXII. IF a line be drawn in a triangle parallel to one of its sides, it... "
Elementary Course of Geometry ... - Pàgina 60
per Charles William Hackley - 1847 - 103 pàgines
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Elements of Geometry

abbé Rossignol (Jean-Joseph) - 1787 - 162 pàgines
...equal to the triangle i>FG. Therefore the triangle ABC is triple of the triangle DFG. PROP. LX. Jf a line be drawn in a triangle parallel to one of its fides, it will cut the other two fides proportionally. BC In the triangle BAC, if the line DF is parallel...
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - 1811
...proportion to each other as the rectangles ef the sides which are about these equal angles. THEOREM LXXXII. If a Line be drawn in a Triangle Parallel to one of its sides, it will cut the two other Sides Proportionally. LET DE be parallel to the side BC of the triangle ABC ; then will AD...
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A Course of Mathematics: For the Use of Academies as Well as Private Tuition

Charles Hutton - 1812
...proportion to each other as the rectangles of the sides which are about these equal angles. THEOREM LXXXII. If a Line be drawn in a Triangle Parallel to one of its sides, it will cut the two other Sides Proportionally. LET DE be parallel to the side uc of the triangle ABC ; then will AD...
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A Course of Mathematics: In Two Volumes : for the Use of Academies ..., Volum 1

Charles Hutton - 1816
...10 each other as the rectangles of the sides which are about these equal angles. "j THEOREM LXXXII. If a Line be drawn in a Triangle Parallel to one of its sides,' it will cut the other Sides Proportionally. LET DE be parallel to the side BC of the triangle ABC ; then will AD . DB : :...
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Encyclopaedia Perthensis; Or Universal Dictionary of the Arts ..., Volum 10

1816
...BFE ; therefore the tiiangles ACB, BFE are to each otber .ts their altitudes. . THEOR. XXXVI. fy. 53. If a line be drawn in a triangle parallel to one of its fide*, it cuts the two other fides proportionally. I-et DE lie draw n parallel to BC ore of the fidrs...
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A Course of Mathematics: For the Use of Academies, as Well as Private Tuition

Charles Hutton - 1818
...to each other ae the rectangles of the sides which are about these equal angles. THEOREM LXXXH. lf a Line be drawn in a Triangle Parallel to one of its sides, it will cut the other Sides Proportionally. LET DE be parallel to the side BC of the triangle ABC ; then will AD : DB : :...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - 1822
...proportion to each other as the rectangles of the sides which are about these equal angles. THEOREM LXXXIL If a Line be drawn in a Triangle Parallel to one of its sides, it will cut the other Sides Proportionally. Let DE be parallel to the side BC of the triangle ABC ; then will AD : DB ; ;...
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A Course of Mathematics for the Use of Academies: As Well as ..., Volum 1

Charles Hutton - 1825
...LXXXII. If a Line be drawn in a Triangle Parallel to one of its sides, it will cut the other hides Proportionally. Let DE be parallel to the side BC of the triangle ABC ; then will AU : DB : : JIB: EC. For. dranr BE and CD. Then the triangles DBK. DCK, are eq;i,\I to ear.h other,...
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A Course of Mathematics: For the Use of Academies as Well as Private Tuition ...

Charles Hutton - 1831
...proportion to each other as the rectangles of the sides which are about these equal angles. THEOREM LXXXII. IF a line be drawn in a triangle parallel to one of...sides proportionally. Let DE be parallel to the side BO of the triangle ABC ; then will AD : UB : : AE : EC. For, draw BE and CD. Then the triangles DBE,...
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A Course of Mathematics: For the Use of Academies as Well as Private Tuition ...

Charles Hutton - 1831
...proportion to each other as the rectangles of the sides which arc about these equal angles. THEOREM 1..XXM1. IF a line be drawn in a triangle parallel to one of...sides, it will cut the other two sides proportionally, y ft ,'l'Let DE be parallel to the side вс of the A triangle ABC ; then will AD : DB : : AE : EC....
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