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Books Books 31 - 40 of 52 on In any triangle, the difference of the squares of the two sides w equal to the difference....
" In any triangle, the difference of the squares of the two sides w equal to the difference of the squares of the segments of the base, or of the two lines or distances included between the extremes of the base and the perpendicular. "
A Course of Mathematics: For the Use of Academies as Well as Private Tuition - Page 301
by Charles Hutton - 1812
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1871 - 368 pages
...is equal to twice the square of half the base increased by twice the square of the medial line; 2d. The difference of the squares of the two sides is equal to twice the product of the base by the projection of the medial line on the base. In the triangle ABC,...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1872 - 368 pages
...is equal to twice the square of half the base increased by twice the square of the medial line; 2d. The difference of the squares of the two sides is equal to twice the product of the base by the projection of the medial line on the base. In the triangle ABC,...
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Elements of Euclid [selections from book 1-6] adapted to modern methods in ...

Euclides - 1874
...difference of the given squares. Cor. 3. — a. The difference of the squares of the sides of a triangle is equal to the difference of the squares of the segments of the base made by a perpendicular. For the square of AB is equal to the squares of BD and DA, and the square...
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Key to Robinson's New Geometry and Trigonometry, and Conic Sections and ...

1875
...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 angled triangles ADB,...
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Elementary geometry of the right line and circle ...

William Alexander Willock - 1875 - 172 pages
...to the rectangle AP-BP, as stated. Con. 3. The difference of the squares of the sides of a triangle is equal to the difference of the squares of the segments of the base made by the perpendicular from the vertical angle upon the base. Let ACB be the triangle and CO the...
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An Elementary Manual of Coordinate Geometry and Conic Sections

Rev. James White - 1878 - 148 pages
...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 difference of the segments....
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Parliamentary Papers, Volume 22

Great Britain. Parliament. House of Commons - Great Britain - 1879
...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 is lees than the squares...
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Report of Her Majesty's Civil Service Commissioners: Together ..., Volume 23

1879
...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 less than the squares...
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Report of Her Majesty's Civil Service Commissioners, Together ..., Volume 23

Great Britain. Civil Service Commission - 1879
...ti'iangle 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 tho base. 4. In every triangle the square of the side subtending any of tho acute angles is less than...
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The Register, Cornell University

Cornell University - 1880
...is equal to twice the square of half the base increased by twice the square of the medial line. (2) The difference of the squares of the two sides is equal to twice the product of the base by the distance from the middle of the base to the foot of the perpendicular...
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