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" In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle, is greater than the squares on the sides containing the obtuse angle, by twice the... "
Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ... - Page 134
by Charles Reiner - 1837 - 215 pages
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Euclid's Elements of Geometry, Books 1-6

Henry Martyn Taylor - 1893 - 486 pages
...line may be equal to the square on the part produced. PROPOSITION 12. In an obtuse-angled triangle, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side opposite the obtuse angle is greater than the sum of the srjuares on tlte other sides,...
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1894 - 892 pages
...unity by adding the same quantity to each of its terms. B. 27. Show that in an obtuse angled triangle, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse...
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Euclid's Elements of Geometry, Books 1-6; Book 11

Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...line may be equal to the square on the part produced. PROPOSITION 12. In an obtuse-angled triangle, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side opposite the obtuse angle is greater than the sum of tJie squares on the other sides, by...
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Elements of Geometry: Plane and Solid

John Macnie - Geometry - 1895 - 386 pages
...A~p,2^J3C~ + PC* + AP* — 2 rect. BC-PC. (Ax. 2) PROPOSITION XIII. THEOREM. 351. In an obtuse triangle, the square of the side subtending the obtuse angle is greater than the sum of the squares of the other sides by twice the rectangle of either of these sides and the projection...
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A Text-book of Euclid's Elements for the Use of Schools. Books I and II, Book 1

Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...in medial section at A. PROPOSITION 12. THEOREM. In an obtuse.angled triangle, if a perpendicular is drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than the sum of the squares on the sides containing...
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Manual

1903
...quadrilateral formed by joining these points within 1 per cent. Or, 2A. Show that in an obtuse-angled triangle if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side opposite the obtuse angle is greater than the sum of the squares on the sides forming the...
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Calendar, for the Year ...

1903 - 188 pages
...SINCLAIR SCHOLARSHIP EXAMINATION. I. (a) Shew that in an obtuse-angled triangle, if a perpendicular is drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse...
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Annual Report of the Department of Education of the Province of ..., Volume 5

Alberta. Department of Education - Education - 1911 - 226 pages
...sum of the squares on the segments, the straight line is bisected. 9 5. In an obtuse angled triangle, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse...
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The Calendar

University of South Africa - Universities and colleges - 1913 - 768 pages
...it from the opposite angle, and the acute angle. In an obtuse-angled triangle, if a perpendicular is drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than the sum of the squares on the sides containing...
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The New Teaching

John Adams - Education - 1918 - 448 pages
...in a quarter of the time. He might be thoroughly convinced, and able to convince the world, that in obtuse-angled triangles if a perpendicular be drawn...acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse...
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