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" If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides, the angle contained by these two sides is a right angle. "
A Text-book of Geometrical Deductions - Page 138
by James Andrew Blaikie, William Thomson - 1891
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The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ...

Euclides - 1821 - 294 pages
...side is the same.. For it is the O2 of the perpendicular. ,. • PROP. 48. TIIEOR. Jf the square of one side of a triangle be equal to the sum of the squares of the other troo sides, the angle opposite to that side is a right angle. From the vertex of this...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 584 pages
...to the turn of the squares of the sides which contain that angle : and conversely, if the square of one side of a triangle be equal to the sum of the squares of the other two sides, the angle contained by these two sides shall be a right angle. Let AB С be...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

Mathematics - 1835 - 684 pages
...to the sum of the squares of the sides which contain that angle : and conversely, if the square of one side of a triangle be equal to the sum of the squares of the other two sides, the angle contained by those two sides shall be a right angle. Let ABC be a...
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Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ...

Dennis M'Curdy - Geometry - 1846 - 168 pages
...square upon one side (BC) of a triangle be equal to the squares upon the other two sides (AB, AC), the angle contained by these two sides shall be a right angle. Then because AD equals AB, their squares also are equal;—to each of them add the square of AC ; therefore...
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The English Journal of Education, Volume 1

Education - 1847 - 508 pages
...straight line, and towards the same parts, are between the same parallels. 3. If the square described upon one side of a triangle be equal to the sum of the squares described upon the other two sides of it, the angle contained by these two sides is a light angle....
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Minutes ...: Correspondence, Financial Statements, Etc., and ..., Volume 2

Great Britain. Committee on Education - 1850 - 942 pages
...angles, are equal to twice as many right angles as the figure has sides. 2. If the square described upon one side of a triangle be equal to the sum of the squares described upon the other two sides of it, the angle contained by these two sides is a right angle....
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Reports on Elementary schools

Her MAjesty' Inspectors of schools - 1850 - 912 pages
...angles, are equal to twice as many right angles as the figure has sides. 2. If the square described upon one side of a triangle be equal to the sum of the squares described upon the other two sides of it, the angle contained bj these two sides is a right angle....
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Mathematics for Practical Men: Being a Common-place Book of Principles ...

Olinthus Gregory - 1863 - 482 pages
...square of the hypothenuse is equal to the sum of the squares of the two sides. 17. If the square of one side of a triangle be equal to the sum of the squares of the other two sides ; then the angle comprehended by them is a right angle. IS. If an angle A, of...
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Report on Education in the Parochial Schools of the Counties of Aberdeen ...

Simon Somerville Laurie - Dick bequest for elevating the character and position of the parochial schools and schoolmasters in the counties of Aberdeen, Banff and Moray - 1865 - 432 pages
...faulty ? What consequence can be deduced from it, if it be admitted ? 2. If the square described upon one side of a triangle be equal to the sum of the squares described upon the other two sides of it, the angle contained by these two sides is a right angle....
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...on the sides containing the obtuse angle. 128. If the square on one side of a triangle bo less than the squares on the other two sides, the angle contained by these sides is an acute angle ; if greater, an obtuse angle. 129. A straight line is drawn parallel to the...
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