Books Books 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 ## Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884 - 148 pages
...that the sum of the triangles APB, PCD is half the parallelogram. 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... ## Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

...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 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... ## University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885 - 358 pages
...square on the line between the points of section. 7. Describe a square upon a given straight line. 8. 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... ## The Practical Teacher, Volume 4

Education - 1885 - 630 pages
...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... ## Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 354 pages
...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... ## The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...angles. Enunciate and prove a similar theorem as regards the figure of Ex. 208. PROPOSITION 12. 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... ## Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...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... ## Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1890 - 530 pages
...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... ## Rider Papers on Euclid: Books i and Ii, Graduated and Arranged in Order of ...

Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...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 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... 