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If a straight line is drawn through two sides of a triangle parallel to the third side, it divides these sides proportionally.
A Textbook on Steam Engineering - Σελίδα 6
1902
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## Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - 1829 - 129 σελίδες
...The same might be proved of any number of equal ratios. OF PROPORTIONAL LINES. 70. THEOREM. — If a line be drawn through two sides of a triangle parallel to the third side, it divides those two sides proportionally. More depends upon this proposition than upon any other in...

## Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - 1829 - 129 σελίδες
...demonstrate the following proposition, upon which more depends, than upon any other in geometry. — If a line be drawn through two sides of a triangle parallel to the third sidt, it ditides those two sides proportionally — . As the demonstration of this proposition is long,...

## Harvard Examination Papers: Collected and Arranged

1873 - 202 σελίδες
...the ratio of two arcs described from their vertices as centres with equal radii. 4. Prove that a line drawn through two sides of a triangle parallel to the third side divides those two sides into proportional parts. 5. State and prove the proportion which exists between...

## Elements of Plane and Solid Geometry

George Albert Wentworth - 1877 - 398 σελίδες
...In like manner we may prove BC = CD, etc. GEOMETRY. — BOOK III. PROPOSITION II. THEOREM. 275. If a line be drawn through two sides of a triangle parallel to the third side, it divides those sides proportionally. Then Fig. 1. " Fig. 2. Ia the triangle ABC let EF be drawn parallel...

## Elements of Plane and Solid Geometry

George Albert Wentworth - 1877 - 398 σελίδες
...sides of equal A). In like manner we may prove B С — CD, etc. 140 PROPOSITION II. THEOREM. 275. If a line be drawn through two sides of a triangle parallel to the third aide, it divides those sides proportionally. A Fig. 1. Kg. 2. In the triangle ABC let EF be drawn parallel...

## A Geometry for Beginners

George Anthony Hill - 1880 - 314 σελίδες
...Two other theorems also follow from the preceding investigation : — Theorem II. — If a line is drawn through two sides of a triangle, parallel to the third side, a smaller triangle is formed which is similar to the given triangle. Theorem III. — A line drawn through...

## A Geometry for Beginners

George Anthony Hill - 1880 - 314 σελίδες
...parallel to the third side cuts off a smaller" triangle similar to the entire triangle. 11. A line drawn through two sides of a triangle parallel to the third side divides those sides proportionally. 12. I. Law of Similarity. — Two triangles are similar if they...

## Elements of Geometry

George Albert Wentworth - 1881 - 250 σελίδες
...like manner we may prove В С = CD, etc. GEOMETRY. — BOOK III. PROPOSITION II. THEOREM. 275. If a line be drawn through two sides of a triangle parallel to the third side, it divides those sides proportionally. A F'g. 1. P1g. 2. In the triangle AB С let EF be drawn parallel...

## A Text-book of Geometry

George Albert Wentworth - 1888 - 386 σελίδες
...them when referred to a common unit. PROPORTIONAL LINES. PROPOSITION I. THEOREM. 309. If a line is drawn through two sides of a triangle parallel to the third side, it divides those sides proportionally. Fio. 1. Fia. 2. In the triangle ABC let EF be drawn parallel...

## The Elements of Solid Geometry

William C. Bartol - 1893 - 95 σελίδες
...triangles. 360. In a parallelogram the opposite sides are equal and the opposite angles are equal. 361. If a line be drawn through two sides of a triangle parallel to the third side, it divides those sides proportionally. 362. Two triangles which have their sides respectively parallel...