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 ## The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...1. D. On the Relations between the Sides of a Triangle and the Perpendicular from the Vertet. 1. In obtuse-angled triangles, if a perpendicular be drawn...from either of the acute angles to the opposite side prodnced, the square on the side subtending the obtuse angle is greater than the squares on the sides... ## The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...to the square on AH. QEF PKOPOSITION 12. THEOREM. In obtuse-angled triangles, if a perpendicular lie 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... ## The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...to the square on AH. QEF PROPOSITION 12. THEOREM. In obtuse-angled triangles, if a perpendicular lie 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... ## Elements of Plane and Solid Geometry: And of Plane and Spherical ...

Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...fig., and (AC+BC). (AC-BC)=AB. (AD+BD) in the 1st fig. THEOREM XXXVI. In any obtuse-angled triangle, the square of the side subtending the obtuse angle is greater than the sum of the squares of the other two sides by twice the rectangle of the base and the distance of the... ## Annual Report

1868 - 886 pages
...two right angels 20 3. Any two sides of a triangle are together greater than the third side 20 4. 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... ## Papers for the schoolmaster, Volume 4

1868 - 344 pages
...the whole and that part, together with the square of the other part. 3. In an obtuse angled triangle, if a perpendicular be drawn from either of the acute angles to the opposite side prsrtuced, the square on the side subtending the obtuse angle is greater than the sqnares on the sides... ## Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...three times the square on the other part. In obtuse-angled triangles, if a perpendicular be arawn rom 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... ## Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...the other part. PROPOSITION XII. THEOREM. In obtuse.angled triangles, if a perpendicular be drawn rom 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... ## The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 592 pages
...and FH is the square of AH ; therefore the rectangle AB, BH is equal to the square of AIL XII. — In obtuse-angled triangles, if a perpendicular be drawn...the opposite side produced, the square of the side sub' tending the obtuse angle, is greater than the squares of the sides containing the obtuse angle,... 