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... Elements of geometry, containing the first two (third and fourth) books of ... - Page 90
by Euclides - 1871 ## Examination papers used at the examination of candidates for appointment to ...

War office - 1861 - 260 pages
...another, and the diameter bisects them. 2. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced,...angle by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle... ## Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1861 - 572 pages
...Progression, then b + c, c+a, a + b are in Harmonical Progression. cular be drawn from an acute angle to the opposite side produced, the square on the side...angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,... ## Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 pages
...equal to a given rectilineal angle. 3. In obtuse angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle is greater than the squares of the sides containing the obtuse... ## Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pages
...on AH. QEF PROPOSITION 12.— THEOKEM. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced,...angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,... ## Responsions

University of Oxford - Education, Higher - 1863 - 328 pages
...of the half and the part produced. 10. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle is greater than the squares of the sides containing the obtuse... ## The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produved, the square on the side subtending the obtuse angle,...squares on the sides containing the obtuse angle, by twive the rectangle contained by the side upon which, when produved, the perpendicular falls, and the... ## Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pages
...square on A HQBF PROPOSITION XII. THEOREM. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the aide subtending the obtuse angle, is greater than the squares on the sides containing the obtuse angle,... ## The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...the square of the other part. Prop. 12. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle is greater thau the squares of the sides containing the obtuse... ## Papers Read at the Royal Institute of British Architects

Architecture - 1865 - 276 pages
...parallelogram ? 6. Prop. 12. Theorem. In obtuse angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle is greater than the squares of the sides containing the obtuse... 