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" Therefore, in obtuse-angled triangles, &c. QED PROP. XIII. THEOREM. In every 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... "
The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ... - Página 45
por W. Davis Haskoll - 1858 - 324 páginas
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 páginas
...PROP. XIII. THEOR. See N. IN every triangle, the square of the side subtending any of the acute angles is less than the squares of the sides containing that...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 - 311 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
...angle. Prop. XIII. Theor. In every triangle, the square of the side subtending any of the acute angles, is less than the squares of the sides containing that...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
...t. PKOP. XIII. THEOR. IN every triangle, the square of the side subtending any of the acute angles, is less than the squares of the sides containing that...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 - 333 páginas
...PROP. XIII. THEOR. In every triangle, the square of the side subtending any of the acute angles, i$ less than the squares of the sides containing that...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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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 páginas
...Proposition XIII. Theorem. In every triangle, the square of the side subtending any of the acute angles, is less than the squares of the sides containing that...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 - 326 páginas
...following Proposition : " In every triangle, the square of the side subtending any of the acute angles is less than the squares of the sides containing that...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 - 513 páginas
...XIII. THEOR. In every triangle, the square of the side subtending either SeeN. of the acute angles, is less than the squares of the sides containing that...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 - 272 páginas
...21 (б) In every triangle, the square of the side which is opposite to a given angle is greater or less than the squares of the sides containing that...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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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - 333 páginas
...QED B PROP. XIII. THEOR. In every triangle the square of the side subtending any of the acute angles, is less than the squares of the sides containing that...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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