Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" 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 angle, by twice the... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Page 62
by Euclid, John Playfair - 1819 - 333 pages
Full view - About this book

The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 130 pages
...PROP. XLVII. THEOR. 12. 2 Eu. In obtuse angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the...perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. A V str. line BD is divided into...
Full view - About this book

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1846 - 332 pages
...square of AH. PROP. XII. THEOR. In obtuse angled triangles, if a perpendicular be drawn from any of the acute angles to the opposite side produced, the...squares of the sides containing the obtuse angle, 6y twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and...
Full view - About this book

The London University Calendar

London univ - 1846 - 326 pages
...angle of a regular octagon ? 4. In any obtuse-angled triangle, if a perpendicular be drawn from any of the acute angles to the opposite side produced, the...is greater than the squares of the sides containing it, by twice the rectangle contained by the side on which when produced the perpendicular falls, and...
Full view - About this book

Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ...

Dennis M'Curdy - Geometry - 1846 - 138 pages
...47; (/) ax. 3 of b. 1. 12 Th. In any obtuse angled triangle, if a perpendicular be drawn from one of the acute angles to the opposite side produced ; the square of the side subtending the obtuse angle equals the two squares of the sides containing it, and two rectangles of the produced side and its...
Full view - About this book

Euclid's Elements of geometry, the first three books (the fourth, fifth, and ...

Euclides - 1846 - 272 pages
...to AB. PROPOSITION XII. THEOREM. In any obtuse angled triangle (as BAC) the square of the side (AB) subtending the obtuse angle, is greater than the squares of the sides (BC and CA) which contain the obtuse angle, by twice the rectangle contained under either of these...
Full view - About this book

The Mechanic's Magazine, Museum, Register, Journal and Gazette, Volume 38

1843 - 536 pages
...EK also subtends the obtuse angle EPK of the triangle EPK, and by (12 Prop. 2 Book Eu.) It is.— " The square of the side subtending the obtuse angle...obtuse angle, by twice the rectangle contained by one of the sides about the obtuse angle, and the line intercepted without by a perpendicular to it...
Full view - About this book

Elements of Geometry: With Practical Applications ...

George Roberts Perkins - Geometry - 1847 - 308 pages
...the three remainders, and it will be the area. PEOPOSITION X. THEOREM. 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...
Full view - About this book

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson with ...

Euclid, Robert Potts - Euclid's Elements - 1847 - 118 pages
...the squares of the sides containing the right angle ; but in an obtuse-angled triangle (Euc. n. 12), the square of the side subtending the obtuse angle is greater than the square of the side containing the obtuse angle ; and in an acute-angled triangle (Euc. n. 13), the...
Full view - About this book

Elementary Course of Geometry ...

Charles William Hackley - Geometry - 1847 - 248 pages
...(AC + BC) . (AC - BC) = AB . (AD + BD) in the 1st fig. THEOREM XXVJU. 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 one of the sides containing the...
Full view - About this book

The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...other part. PROP. XII. THEOREM. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the...perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. PROP. XIII. THEOREM. In every...
Full view - About this book




  1. My library
  2. Help
  3. Advanced Book Search
  4. Download EPUB
  5. Download PDF