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The line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of the third side.
A Treatise on the Higher Plane Curves: Intended as a Sequel to A Treatise on ... - Page 5
by George Salmon - 1852 - 316 pages

## Elements of Euclid [selections from book 1-6] adapted to modern methods in ...

Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 234 pages
...1, 2, 3, 4, etc. (I. App., schol. 2), the corresponding areas are 1, 4, 9, 16, etc. Conversely. — The line joining the middle points of two sides of a triangle is parallel to the third side, and equal to one-half of it. In the triangle ABC, let AB, AC be bisected in D and E. The line joining...

## A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874 - 120 pages
...BC in 0. Join PO and draw AQ- parallel to it. Then PQ shall bisect the triangle.] 53. The straight line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of it. 54. The straight lines joining the middle points of the four sides of any...

## Euclid simplified. Compiled from the most important French works, approved ...

John Reynell Morell - 1875 - 220 pages
...corresponding height are given. EXERCISES ON BOOK III. 92. The straight line which joins the centres of two sides of a triangle is parallel to the third side, and equal to half that side. 93. The straight lines which join the centres of the consecutive sides...

## Elements of Geometry with Exercises for Students: An an Introduction to ...

Aaron Schuyler - Geometry - 1876 - 384 pages
...parallelogram (82) ; AE = EC; hence, DE bisects AC. GEOMETRY.— BOOK I. 104. Corollaries. 1. Tlie straight line joining the middle points of two sides of a triangle is parallel to the third side and equal to its half. (?) 2. The straight line drawn from the middle point of one of the non-parallel...

## Syllabus of Plane Geometry: (corresponding to Euclid, Books I-VI) ...

...triangle parallel to the base passes through the middle point of the other side. COR. 2. The straight line joining the middle points of two sides of a triangle is parallel to the base. [Cor. i. and Rule of Identity.] SECTION 4. PROBLEMS. PROB. i. To bisect a given angle. PROB....

## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1876 - 446 pages
...of AB andD C shall divide the quadrilateral into two equal parts. 8. The straight line, which joins the middle points of two sides of a triangle, is parallel to the base. 9. If a straight line be divided into any two parts, the square on the whole line is equal to...

## Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 pages
...through the middle point of a side of a triangle parallel to the base it will bisect the other side. 43. The line joining the middle points of two sides of a triangle is equal to half the third side and is parallel to it. 44. If from points in the base of an isosceles...

## Exercises on Euclid and in Modern Geometry

James McDowell - 1878 - 312 pages
...find them 2 3. To divide a given straight line into any number of equal parts. CoB 2 4. The straight line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of it 2 5. The straight lines drawn from the vertices of a triangle to bisect the...