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" In every triangle, the square on the side subtending either of the acute angles, is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the... "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Página 54
por Euclid - 1835 - 513 páginas
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 páginas
...square of the base of an isosceles triangle is double the rectangle contained by either side and by the line intercepted between the perpendicular let fall upon it from the opposite angle, and the extremity of the base. 14. If two sides of a trapezium be parallel to each other, the squares of its...
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The Calendar of King's College, London

1850
...triangle, the square of the side subtending either of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle contained by either of those sides, and the right line intercepted between the perpendicular let fall upon it from the opposite...
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Minutes ...: Correspondence, Financial Statements, Etc., and ..., Volumen2

Great Britain. Committee on Education - 1850 - 914 páginas
...triangle the square of the side subtending either of the acute angles is less than the squares of the sides containing that angle by twice the rectangle contained by either of those sides, and the straight line intercepted between the acute angle and the perpendicular let fall...
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The London University Calendar

London univ - 1852
...triangle the square of the side subtending either of the acute angles is less than the squares of the sides containing that angle by twice the rectangle...contained by either of these sides, and the straight line in- _ tercepted between the acute angle and the perpendicular let fall upon it from the opposite angle....
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...triangle, the square of the side subtending any nj the acute angles is less than the squares of the sides containing that angle, by twice the rectangle...from the opposite angle and the acute angle. Let ABC beany triangle, and the angle at B one of its acute angles ; and upon BC, one of the sides containing...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1853 - 317 páginas
...triangle the square of the side subtending any of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle...perpendicular, let fall upon it from the opposite angle, and ihn acute , angle. Let ABC be any triangle, and the angle at B one of its acute angles, and upon BC,...
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The Elements of Euclid. Books I.-VI.; XI. 1-21 XII. 1-2. A New Text ..., Libro 1

Euclides - 1853 - 334 páginas
...the side subtending either of the acute angles is less than the squares of the sides including this angle, by twice the rectangle contained by either...sides, and the straight line intercepted between the acute angle and the perpendicular drawn to this side, produced if necessary, front the opposite angular...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 páginas
...betumeen the perpendicular let fall upon it from tlie opposiie angle and the acute angle. LET ab С be any triangle, and the angle at b one of its acute angles, and upon b С, one of the sides containing it, let fall the perpendicular (i. 12) ad from the opposite angle:...
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The American House Carpenters' and Joiners' Assistant: Being a New and Easy ...

Lucius D. Gould - 1853 - 234 páginas
...find the area of an acute angled triangle. Rule. — Multiply the length of the longest side by half the perpendicular let fall upon it from the opposite angle, and the product will be the area. Having the base and perpendicular of a right angled triangle, to find the...
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Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - 1854
...than the squares of the sides (С В, В A) containing that angle, by twice the rectangle (C BB D) contained by either of these sides, and the straight line intercepted between the perpendicular (AD) and the acute angle (B) : that is, A C2 = С В2 + В A3— twice С BB D. First, let AD fall...
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