Books Books In any triangle, if a line be drawn from the vertex at right angles to the base; the difference of the squares of the sides is equal to the difference of the squares of the segments of the base. A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the ... - Page 153
by Thomas Malton - 1774 - 440 pages ## Mathematical Recreations: Containing Solutions of Many Very Difficult and ...

Horatio Nelson Robinson - Mathematics - 1851 - 96 pages
...If a perpendicular be drawn from the vertical angle of any triangle to the base, the difference of the squares of the sides is equal to the difference of the squares of the segments of the base. Let ABC be any triangle. Take the longer side as a base, and from the opposite... ## The First Two Books of the Elements of Euclid ... with Additional Figures ...

Euclides - 1852 - 152 pages
...In any triangle, if a line be drawn from the vertex at right angles to the base; the difference of the squares of the sides is equal to the difference of the squares of the segments of the base. In any triangle, if a line be drawn from the vertex bisecting the base; the sum... ## Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - Conic sections - 1865 - 472 pages
...If a perpendicular be drawn from the vertical angle of any triangle to the base, the difference of the squares of the sides is equal to the difference of the squares of the segments of the base. 27. The square described on the side of an equilateral triangle, is equal to... ## Elements of Geometry, Plane and Spherical: With Numerous Practical Problems

Horatio Nelson Robinson - Geometry - 1868 - 276 pages
...If a perpendicular be drawn from the vertical angle of any triangle to the base, the difference of the squares of the sides is equal to the difference of the squares of the segments of the base. 27. The square described on the side of an equilateral triangle, is equal to... ## Key to Robinson's New Geometry and Trigonometry, and Conic Sections and ...

Horatio Nelson Robinson - 1875 - 288 pages
...If a perpendicular be drawn from the vert1cal angle of any triangle to the base, the difference of the squares of the sides is equal to the difference of the squares of the segments of the base. Let ABC be a triangle. From A let fall AD perpendicular on BC, making two right... ## An elementary manual of coordinate geometry and conic sections

James White - Conic sections - 1878 - 160 pages
...segment from the middle point of the base to the foot of the perpendicular on it. For the difference of the squares of the sides is equal to the difference of the squares of the segments of the base made by the perpendicular, and this is equal to the rectangle under the sum and... ## Parliamentary Papers, Volume 22

Great Britain. Parliament. House of Commons - Great Britain - 1879 - 632 pages
...vertex of a plane triangle a perpendicular fall upon the base or the base produced, the difference of the squares of the sides is equal to the difference of the squares of the segments of the base. 4. In every triangle the square of the side subtending any of the acute angles... ## Report of Her Majesty's Civil Service Commissioners: Together ..., Volume 23

1879 - 636 pages
...vertex of a plane triangle a perpendicular fall upon the base or the base produced, the difference of the squares of the sides is equal to the difference of the squares of the segments of the base. In every triangle the square of the side subtending any of the acute angles is... ## Essentials of Geometry

Alfred Hix Welsh - Geometry - 1883 - 326 pages
...8. If a perpendicular be drawn from the vertical angle of a triangle to the base, the difference of the squares of the sides is equal to the difference of the squares of the segments of the base. 9. The figure formed by joining the adjacent middle points of the sides of a... 