Books Books
The midpoints of two opposite sides of a quadrilateral and the midpoints of the diagonals determine the vertices of a parallelogram. * Ex.
Plane Geometry - Page 71
by Arthur Schultze - 1901

## Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - Geometry, Plane - 1809 - 522 pages
...square of BD, together with the rectangle AD, DC. -A.JQ Cor. The square of a straight line BD drawn from the vertex of an isosceles triangle to any point in the base produced, is equivalent to the square of BA the side of the triangle, together with the rectangle contained...

## The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 178 pages
...whose square shall be equal to the given sum. SECT. II. — THEOREMS. 5. If a straight line be drawn from the vertex of an isosceles triangle to any point in the base, the square described on this line, together with the rectangle contained by the segments of the base,...

## The Elements of Euclid: With Many Additional Propositions ..., Part 1

Euclid - Geometry - 1853 - 176 pages
...straight line bisects the angle opposite to the base of an isosceles triangle. If a straight line be drawn from the vertex of an isosceles triangle to any point in the base or the base produced. It also bisects the triangle. The sum of the squares on the two sides is equal...

## Euclidian Geometry

Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...two parts, so that the sum of their squares may be the least possible. 3. If a straight line be drawn from the vertex of an isosceles triangle to any point in the base, the square on this line together with the rectangle under the segments of the base equals the square...

## Elements of Plane Geometry

Franklin Ibach - Geometry - 1882 - 208 pages
...equivalent to the difference of the squares described on the lines. 5. If a straight line is drawn from the vertex of an isosceles triangle to any point in the base, the square of this line is equivalent to the rectangle of the segments of the base together with the...

## The First Six Books of the Elements of Euclid: And Propositions I-XXI of ...

Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...less than it, it must be greater. Exercises. 1 . Prove this Proposition by a direct demonstration. 2. A line from the vertex of an isosceles triangle to any point in the base is less than either of the equal sides, but greater if the point be in the base produced. 3. Three equal...

## The first six books of the Elements of Euclid, and propositions i.-xxi. of ...

Euclides - 1885 - 340 pages
...than it, it must be greater. Exercises. • 1 . Prove this Proposition by a direct demonstration. 2. A line from the vertex of an isosceles triangle to any point in the base is less than either of the equal sides, but greater if the point be in the base produced. 3. Three equal...

## The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - Geometry - 1890 - 414 pages
...to the square on half the line. (Euclid, B. II, prop. 5.) 49. The square on the straight line, drawn from the vertex of an isosceles triangle to any point in the base, is less than the square on a side of the triangle by the rectangle of the segments of the base. 50. The...