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 ... - Page 60by Charles William Hackley - 1847 - 103 pagesFull view - About this book
| abbé Rossignol (Jean-Joseph) - Geometry - 1787 - 190 pages
...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... | |
| Charles Hutton - Mathematics - 1811 - 406 pages
...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... | |
| Charles Hutton - Mathematics - 1812 - 620 pages
...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... | |
| Charles Hutton - Mathematics - 1816 - 610 pages
...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 : :... | |
| Encyclopedias and dictionaries - 1816 - 764 pages
...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... | |
| Charles Hutton - Arithmetic - 1818 - 646 pages
...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 : :... | |
| Charles Hutton - Mathematics - 1822 - 616 pages
...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 ; ;... | |
| Charles Hutton - Mathematics - 1825 - 608 pages
...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,... | |
| Charles Hutton - Mathematics - 1831 - 632 pages
...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,... | |
| Charles Hutton - Mathematics - 1831 - 660 pages
...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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