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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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Report of the Council of Public Instruction of the North-West Territories of ...

Northwest Territories Council of Public Instruction - 1897 - 628 sider
...be equal to the rectangle contained by the segments of the base the vertical angle is right. 4. (a) The sum of the squares on two sides of a triangle is double the sum of the squares on half the base and on the line joining the vertical angle and the middle...
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A Text-book of Euclid's Elements for the Use of Schools. Books I.-VI ..., Bog 1

Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 sider
...sum and difference of the hypotenuse and the other side. [I. 47 and jI. 5, Cor.] 8. The difference of the squares on two sides of a triangle is equal to twice the rectangle contained by the base and the intercept between the middle point of the base and the foot...
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Elementary Geometry, Plane and Solid: For Use in High Schools and Academies

Thomas Franklin Holgate - 1901 - 462 sider
...therefore A + B = C. EXERCISES 1. State and prove the converse of Proposition VII. 2. If the difference of the squares on two sides of a triangle is equal to the square on the third side, the triangle is right-angled. 4. A quadrilateral is such that its diagonals...
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Calendar

University of St. Andrews - 1903 - 762 sider
...of all the chords of a circle that pass through a given external point is a circle. 17. Prove that the sum of the squares on two sides of a triangle is double the sum of the squares on the median and on half the base. In the triangle ABC, BC = 1, CA =...
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The Elements of Plane Geometry

Association for the Improvement of Geometrical Teaching - 1903 - 342 sider
...bisects AD and meets AC at E : shew that the triangle EEC is double the triangle ABE. *39- The difference of the squares on two sides of a triangle is equal to the difference of the squares on the segments of the base made by a perpendicular from the opposite...
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A Text-book of Euclid's Elements for the Use of Schools, Bog 1

Euclid - 1904 - 488 sider
...equal to the rectangle contained by their sum and difference. [See Cor., p. 137]. 8. The difference of the squares on two sides of a triangle is equal to twice the rectangle contained by the base and the intercept between the middle point of the base and the foot...
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Plane Geometry

Fletcher Durell - 1904 - 382 sider
...line joining the midpoints of the diagonals. EXERCISES. CROUP 34. INDIRECT DEMONSTRATIONS Ex. 1. If the sum of the squares on two sides of a triangle is greater than the square on the third side, the angle included by the two given sides is an acute angle....
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Plane and Solid Geometry

Fletcher Durell - 1911 - 553 sider
...line joining the midpoints of the diagonals. EXERCISES. GROUP 34 INDIRECT DEMONSTRATIONS Ex. 1. If the sum of the squares on two sides of a triangle is greater than the square on the third side, the angle included by the two given sides is an acute angle....
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Sessional Papers, Bind 37,Del 4

Ontario. Legislative Assembly - 1905 - 1104 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 — n»...
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Syllabus of Plane' Geometry: (corresponding to Euclid, Book I-VI) : Prepared ...

Cora Lenore Williams - 1905 - 56 sider
...other upon it. (By the use of zero and negative magnitudes.) Prop. 94. The sum of the squares on any two sides of a triangle is equal to twice the square on half of the third side, increased by twice the square on the median to that side. Prop. 95. The sum of the...
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