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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... "
Guide to the Three Services: Civil, Naval, and Military - Pagina 108
door John Paxton Hall - 1860
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Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term,1885.Volume XIV - 1885 - 652 pagina’s
...shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 5. In obtuse-angled triangles, if a perpendicular be...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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University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885 - 358 pagina’s
...produced. 7. Parallelograms on equal bases, and between the same parallels, are equal to one another. 8. In obtuse-angled triangles, if a perpendicular be...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 Practical Teacher, Volume 4

1885 - 630 pagina’s
...between the points of section, is equal to the square on half the line. Euclid, Bk. II., Prop. 5. 2. In obtuse-angled triangles, if a perpendicular be...drawn from either of the acute angles to the opposite sideproduced, the square on the side subtending the obtuse angle, is greater than the squares on the...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889 - 356 pagina’s
...parts, is invariable, in whatever way the line may be so divided. 5. In an obtuse-angled triangle, if a perpendicular be drawn from either of the acute angles to the opposite side produced, prove that the square of the side subtending the obtuse angle is greater than the squares of the sides...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pagina’s
...right angles. Enunciate and prove a similar theorem as regards the figure of Ex. 208. PROPOSITION 12. In obtuse-angled triangles, if a perpendicular be...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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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - 1890 - 144 pagina’s
...with the square on the line between the points of section, is equal to the square on half the line. 2. In obtuse-angled triangles if a perpendicular be drawn...of the acute angles to the opposite side produced, prove that the square on the side subtending the obtuse angle is greater than the squares on the sides...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1890 - 526 pagina’s
...section, is equal to the square on half the line. 8. In obtuse-angled triangles, if a perpendicular be 9 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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Rider Papers on Euclid (books I. and II.)

Rupert Deakin - 1891 - 102 pagina’s
...that the rectangle contained by the whole and one part shall be equal to the square on the other. 12. In obtuse-angled triangles, if a perpendicular be...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 Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1892 - 460 pagina’s
...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 squares on the sides containing the obtuse...
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Euclid's Elements of Geometry, Boeken 1-6

Henry Martyn Taylor - 1893 - 486 pagina’s
...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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