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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*. For, let CE be perpendicular to the base AB. Then, since (by th. 36) AC... "
The Mechanic's Calculator: Comprehending Principles, Rules, and Tables in ... - Page 69
by William Grier - 1839 - 344 pages
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Recreations in Mathematics and Natural Philosophy ...

Jacques Ozanam - Mathematics - 1803 - 548 pages
...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 - Mathematics - 1811 - 406 pages
...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...squares of AC, 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,...
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A Course of Mathematics: For the Use of Academies as Well as Private Tuition

Charles Hutton - Mathematics - 1812 - 620 pages
...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 ..., Volume 1

Charles Hutton - Mathematics - 1816 - 610 pages
...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 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....
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A Course of Mathematics: In Two Volumes. For the Use of Academies ..., Volume 1

Charles Hutton - Arithmetic - 1818 - 646 pages
...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 - Geometry, Modern - 1820 - 488 pages
...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 - Mathematics - 1822 - 616 pages
...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 ..., Volume 1

Charles Hutton - Mathematics - 1825 - 608 pages
...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 ..., Volume 1

Charles Hutton - Mathematics - 1831 - 632 pages
...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 ..., Volume 1

Charles Hutton - Mathematics - 1831 - 660 pages
...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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