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If a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or those sides produced, proportionally...
Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ... - Page 87
by Dennis M'Curdy - 1846 - 138 pages

## The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...will be the same. PROPOSITION 2. THEOREM. If a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or those...produced, be cut proportionally, the straight '.line which joint the points of section, shall be parallel to the remaining side of the triangle. Let DE...

## The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...will be the same. PROPOSITION 2. THEOREM. If a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or those...produced, be cut proportionally, the straight line which joint the points of section, shall be parallel to the remaining tide of the triangle. Let DE...

## The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 pages
...Triangles and [r8 are to one another in the ratio compounded of the ratios of their bases and altitudes. If a straight line be drawn parallel to one side of...shall cut the other sides, or those sides produced* proport ionally. Conversely : If the sides or the sides produced be cut proportionally, flie straight...

## Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884 - 148 pages
...and the triangle A CD will be isosceles. 10. If a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or those sides produced, proportionally. Prove the following construction for trisecting a line AB in G and H\ On AB as diagonal construct a...

## An introduction to geometry, consisting of Euclid's Elements, book ..., Volume 1

Euclides - 1884 - 182 pages
...isosceles triangle cuts off equal lengths on the sides measured from the vertex of the triangle. 4. If a straight line be drawn parallel to one side of a parallelogram through an internal point, it divides the figure into two parallelograms. 5. Two rectilinear...

## Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 356 pages
...in a circle must also be equiangular. 10. If a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or those sides produced, proportionally. Shew that two straight lines drawn from two angular points of a triangle to the middle points of the...

## Calendar of Dalhousie College and University

Dalhousie University - 1889 - 220 pages
...the greater circle has been shown to be a tangent to the leas, continue the proof to the end. • 6. If a straight line be drawn parallel to one side of a triangle cutting the other two, shew that it cuts them proportionately. (Draw only one figure). 7. Find a mean...

## Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...be proportionals, when taken inversely. 7. If a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or those sides produced, proportionally. In a triangle ABC, BC is bisected in D, AD is bisected in E, and BE produced to meet AC in F: show...