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" AB, bisecting it into the two equal parts AD, DB ; then will the sum of the squares of AC, CB, be equal to twice the sum of the squares of CD, BD; or Ac* -f CB* = 2CD* + 2DB*. "
The Mechanic's Calculator, Or Workman's Memorial Book, Etc - PÓgina 42
per William Grier - 1832 - 300 pÓgines
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Recreations in Mathematics and Natural Philosophy ...

Jacques Ozanam, Jean Etienne Montucla - 1803
...to determine the triangle. PROB. xxxu. The base of a triangle, the sum of the two other sides, and the line drawn from the vertex to the middle of the base, being given; to determine the triangle. PKOB. xxxv. Given the three lines drawn from the angles of...
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - 1811
...with Double the Square of the Half Base, is Equal to the Sum of the Squares of the other Two Sides. Let ABC be a triangle, and CD the line drawn from...CB, be equal to twice the sum of the squares of CD, BD; or Ac* -f CB* = 2CD* + 2DB*. For, let CE be perpendicular to the base AB. Then, since (by th. 36)...
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A Course of Mathematics: For the Use of Academies as Well as ..., Volum 1

Charles Hutton - 1812
...Double the Square of the Half Base, is Equal to the Sum of the Squares oi the other Two Sides. Let A DC be a triangle, and CD the line drawn from the vertex to the middle of the base AB, dividing it into the two equal parts AD, DB ; then will the sura of the squares of AC, CB, be equal...
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A Course of Mathematics in Two Volumes for the Use of Academies, as ..., Volum 1

Charles Hutton - 1816
...be a triangle, and CD the line drawn from the vertex to the middle of the base AB, dividing it into two equal parts AD DB ; then will the sum of the squares...CB, be equal to twice the sum of the squares of CD, BD j or Ac2 + CBI= 2CD╗ -f SDB*. -A. DEB For, let CE be perpendicular to the base AB. Then, since...
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A Course of Mathematics: For the Use of Academies, as Well as Private Tuition

Charles Hutton - 1818
...with Double the Square of the half Base, is Equal to the Sum of the Squares of the other Two Sides. Let ABC be a triangle, and CD the line drawn from the vertex to the middle of the base AB, dividing it into two equal parts AD, DB ; then will the sum of the squares of AC, CB, be equal to twice...
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Elements of Geometry, and Plane Trigonometry: With an Appendix, and Very ...

Sir John Leslie - 1820 - 465 pÓgines
...this proposition it might be easily shown that the two sides of a triangle are greater than double the line drawn from the vertex to the middle of the base. For, suppose E to be that middle point, and BE being produced till EF be equal to it, and let AF be...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - 1822
...Doable the Square ef the Half Base, is equal to the Sum of the Square* of the other Two Sides. Let ADC be a triangle, and CD the line drawn from the vertex to the middle of <~ the bast AB, dividing it into two equal parts AD, DB ; tnen will the -sum of the squares of AC, CB, be...
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A Course of Mathematics for the Use of Academies: As Well as ..., Volum 1

Charles Hutton - 1825
...Double the Square of the Half Base, is equal to the Sum of the Square* of thp other Two Sides. Let ADC be a triangle, and CD the line drawn from the vertex to the middle of y the base AB, dividing it into two equal parts AD, DB ; then will the sum of the squares of AC, CB,...
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A Course of Mathematics: For the Use of Academies, as Well as ..., Volum 1

Charles Hutton - 1831
...with double the square of the half base, is equal to the sum of the squares of the other two sides. Let ABC be a triangle, and CD the line drawn from...parts AD, DB ; then will the sum of the squares of AC, ев, be equal to twice the sum of the squares of CD, AD ; or лс3 + cB' = 2cD3 + 2AD'. A DEB For...
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A Course of Mathematics: For the Use of Academies, as Well as ..., Volum 1

Charles Hutton - 1831
...THEOREM!. double the square of the half base, is equal to the sum of the squares of the other two sides. Let ABC be a triangle, and CD the line drawn from the vertex to the middle of the base лв, bisecting it into the two equal parts AD, DB ; then will the sum of the squares of AC, ев,...
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