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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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Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826 - 272 páginas
...the base of an isosceles triangle, is equal to twice the rectangle contained by either side, and by the straight line intercepted between the perpendicular, let fall upon it from the opposite angle and the extremity of the base. 3. If the vertical angle of a triangle be two-thirds of a right angle, the square...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1826 - 320 páginas
...line intereepted between the perpendieular, let fall upon it from the opposite angle, and the aeute angle. Let ABC be any triangle, and the angle at B one of its aeute angles, and upon BC, one of the sides eontaining it, let fall the perpendieular (12. 1.) AD from...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - 1829 - 186 páginas
...triangle the square of the side subtending an acute angle is less than the sum of the squares of the two sides containing that angle, by twice the rectangle contained by either of those sides and the distance between the acute angle and the perpendicular drawn from the opposite...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 584 páginas
...the square of the side which is opposite to a given angle is greater or less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and that part of it which is intercepted between the perpendicular, let fall upon it from the opposite...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 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...of these sides, and the straight line intercepted bi-twecn the perpendicular let fall upon it from the opposite angle, and the acute angle. Let ABC be...
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Library of Useful Knowledge: Geometry, plane, solid, and spherical [by ...

1835
...the square of the side which is opposite to a given angle is greater or less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and that part of it which is intercepted between the perpendicular, let fall upon it from the opposite...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 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...sides, and the straight line intercepted between the perperdicular, let fall upon it from the opposite angle, and the acute angle. A. If one side of a triangle...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1836 - 488 páginas
...triangle, the square of the side sub- . tending any of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these tides, and the straight line intercepted between the perpendicular, let fall upon it from the opposite...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 112 páginas
...triangle, the square of the side -btending any of the acute angles is less than the squares of the sides containing that angle, by twice the rectangle...upon it from the opposite angle, and the acute angle. Fig. 1. Fig. 3. Steps of the Demonstration to Case 1st. (in which AD falls within the A.) 1. Prove...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 páginas
...is greater than the squares of BC, CA, by twice the rectangle BC • CD. PROPOSITION XIII. THEOREM. of these sides, and the straight line intercepted...from the opposite angle, and the acute angle. Let ABC he any triangle, and the angle at B one of its acute angles, and upon BC, one of the sides containing...
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