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" The squares on two sides of a triangle are together equal to twice the square on half the third side and twice the square on the median to that side. If ABC be a... "
The American Mathematical Monthly: The Official Journal of the Mathematical ... - Side 52
1920
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Calendar of Queen's College and University, Kingston, Canada for the Year ...

Queen's University (Kingston, Ont.) - 1906 - 314 sider
...inscribe a regular pentagon in a given circle. The squares on two sides of a triangle are together equal to twice the square on half the third side and twice the square on the median to that side. If ABC be a triangle, and A be joined to a point P of the base such that BP : PC = m : n,...
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Introduction and books 1,2

Euclid - 1908 - 550 sider
...from II. g, zo. I. Pappus (vn. pp. 856 — 8) uses n. 9, 10 for proving the well-know theorem that The sum of the squares on two sides of a triangle is equal to twice the squat on half the base together with twice the square on the straight line joining //! middle point...
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Report of the Secretary for Public Instruction ..., Bind 32

Queensland. Department of Public Instruction - 1908 - 134 sider
...problem of drawing a line through a given point parallel to a given straight line. 4. Prove that if the sum of the squares on two sides of a triangle is equal to the square on the third side, these two sides contain a right angle, and with the aid of Euclid I.,...
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Mathematical Papers for Admission Into the Royal Military Academy and the ...

Royal Military Academy, Woolwich - 1909 - 456 sider
...the alternate angles are equal. Also state and prove the converse proposition. 2. (a) Prove that, if the sum of the squares on two sides of a triangle is equal to the square on the third side, one of the angles is a right angle. (b) Show that the sum of the squares...
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Plane Geometry Developed by the Syllabus Method

Eugene Randolph Smith - 1909 - 424 sider
...the projection of the other side on its line ; or, in a right triangle, to difference of squares. VI. THE SUM OF THE SQUARES ON Two SIDES OF A TRIANGLE. Is equivalent to twice the sum of the squares on one half the third side and on the median to that side...
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Wentworth's Plane Geometry

George Albert Wentworth, David Eugene Smith - 1910 - 287 sider
...vertex to the base, increased by the product of the segments of the base. PROPOSITION XIII. THEOREM 343. The sum of the squares on two sides of a triangle is equivalent to twice the square on half the third side, increased by twice the square on the median...
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General Announcement - McGill University, Montreal

McGill University - 1911 - 178 sider
...equal to the rectangle contained by its diagonals. The squares on two sides of a triangle are together equal to twice the square on half the third side and twice the square on the median to that side. If from the vertical angle of a triangle a straight line be drawn perpendicular to the base...
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Special Reports on Educational Subjects, Bind 26–27

Great Britain. Board of Education - 1912 - 1044 sider
...be parallel, and also prove that their point of intersection lies on the same side of BC as A, 4. If the sum of the squares on two sides of a triangle is equal to the square on the third side, prove that the triangle is right angled. Prove that a triangle the lengths...
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The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - 1912 - 632 sider
...be parallel, and also prove that their point of intersection lies on the same side of BC as A. 4. If the sum of the squares on two sides of a triangle is equal to the square on the third side, prove that the triangle is right angled. Prove that a triangle the lengths...
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Regulations and Courses of Study of the Continuation Schools ...

Ontario. Dept. of Education - 1913 - 128 sider
...inscribe a regular pentagon in a given circle. The squares on two sides of a triangle are together equal to twice the square on half the third side and twice the square on the median to that side. If ABC be a triangle, and A be joined to a point P of the base such that BP : PC = m : n,...
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