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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... "
Parliamentary Papers - Página 532
por Great Britain. Parliament. House of Commons - 1878
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 páginas
...of the side subtending any of the acute angles is less than the squares of the sides containing that angle, by twice the rectangle contained by either...sides, and the straight line intercepted between the perpendicular let fall upon it from the opposite angle, and the acute angle. Let ABC be any triangle,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 páginas
...acute angles is less than the squares of the sides containing that angle, by twice the rect. angle contained by either of these sides and the straight line intercepted between the perpendicular, let fall upon it from the opposite angle, and the acute angle. Let ABC be any triangle,...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volumen5

John Mason Good - 1813 - 714 páginas
...the side subtending any of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle contained by either...sides, and the straight line intercepted between the perpendicular let fall upon it from the opposite angle, and the acute angle. Prop. XIV. Prob. To describe...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 páginas
...the side subtending 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 sides, and the straight line intercopted between the perpendicular let fall upon it from the opposite angle, and the acute angle....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 páginas
...the side subtending any of the acute angles, i$ less than the squares of the sides containing that angle, by twice the rectangle contained by either...sides, and the straight line intercepted between the perpendicular, let fall upon it from the opposite angle, and the acute angle. Let ABC be any triangle,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 514 páginas
...given, the circle is described of which it is a segment. Which was to be done. PROP. XXVI. THEOR. Iy equal circles, equal angles stand upon equal circumferences,...whether they be at the centres or circumferences. Let ABC, DEF be equal circles, and the equal angles BGC, EHF at their centres, and BAC, EDF at their...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 páginas
...the side subtending 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 sides, and the straight line inteicepted between the perpendicular let fall upon it from the opposite angle, and the acute angle....
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The Principles of Analytical Geometry: Designed for the Use of Students

Henry Parr Hamilton - 1826 - 354 páginas
...of the side subtending any of the acute angles is less than the squares of the sides containing that angle, by twice the rectangle contained by either...sides, and the straight line intercepted between the perpendicular let fall upon it from the opposite angle., and the acute angle." (Eve. II. IS). Since...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 páginas
...subtending either SeeN. of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle contained by either...sides, and the straight line intercepted between the perpendicular let fall upon it from the opposite angle, and the acute angle. Let ABC be any triangle,...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 584 páginas
...which is opposite to any given angle, is greater or less than the squares of the sides contairting 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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