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" In every triangle, the square on the side subtending either of the acute angles, is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the acute... "
The Principles of Analytical Geometry: Designed for the Use of Students - Page 1
by Henry Parr Hamilton - 1826 - 326 pages
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Annual Report

Canada. Department of the Interior - 1893 - 1280 pages
...5.ID every triangle, the square on the side subtending an acute angle is 13 less than the squares on the sides containing that angle, by twice the rectangle...contained by either of these sides, and the straight line in tercepted between the perpendicular let fall on it from the opposite angle and the acute angle....
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Euclid's Elements of Geometry, Books 1-6

Henry Martyn Taylor - 1893 - 486 pages
...square on a side subtending an acute angle, is less than the sum of the squares on the other sides, by twice the rectangle contained by either of these sides, and the part of the side intercepted between the perpendicular let fall on it from the opposite angle, and...
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Elements of Geometry: Plane and Solid

John Macnie - Geometry - 1895 - 390 pages
...the square of a side subtending an acute angle is less than the sum of the squares of the other sides by twice the rectangle contained by either of these sides and the projection upon it of the other side. p\ > Given: C, an acute angle of triangle ABC, and PC, the projection...
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Euclid's Elements of Geometry, Books 1-6; Book 11

Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...square on a side subtending an acute angle, is lens than the sum of the squares on the other sides, by twice the rectangle contained by either of these sides, and the part of the side intercepted between the perpendicular let fall on it from the opposite angle, and...
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Competition for Situations as Assistant in the British Museum: And ...

Great Britain. Civil Service Commission - Civil service - 1896 - 112 pages
...acute-angled triangle, the square on th« side subtending any one of the angles, is less than the squares on the sides containing that angle, by twice the rectangle...line intercepted between the perpendicular let fall on it from the opposite angle, and the aforesaid angle. ALGEBRA TO SIMPLE EQUATIONS. (Seeßrst note...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1897 - 446 pages
...In every triangle, the square on the side subtending an acute angle is less than the squares on tho sides containing that angle, by twice the rectangle...line intercepted between the perpendicular let fall on it from the opposite angle and the acute angle. For Admission as Teacher of the Third Class. (Three...
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Calendar, for the Year ...

1899 - 166 pages
...square on a side subtending an acute angle, is less than the sum of the squares on the other sides, by twice the rectangle contained by either of these sides, and the part of the side intercepted between the perpendicular let fall on it from the opposite angle, and...
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Preparatory Schools for Boys: Their Place in English Secondary Education

Great Britain. Board of Education - Boys - 1900 - 566 pages
...4. In every triangle, the square on the side subtending an acute angle, is less than the squares on the sides containing that angle, by twice the rectangle...line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. 5. The opposite angles of any quadrilateral figure...
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A Text-book of Euclid's Elements for the Use of Schools. Books I.-VI ..., Book 1

Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...every triangle, the square on the side subtending an acute angle is less than the sum of the squares on the sides containing that angle, by twice the rectangle...line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. D Fig. t. B Fig. 2. Let ABC be any triangle having...
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Special Reports on Educational Subjects, Volumes 6-7

Great Britain. Board of Education - Education - 1900 - 906 pages
...4. In every triangle, the square on the side subtending an acute angle, is less than the squares on the sides containing that angle, by twice the rectangle...line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. .-^ If ABC is an isosceles triangle, and D a point...
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