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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 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 ... - Σελίδα 62
των John Playfair - 1819 - 333 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 σελίδες
...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 rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,...

Elements of Plane and Solid Geometry: And of Plane and Spherical ...

Gerardus Beekman Docharty - 1867 - 283 σελίδες
...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
...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...perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle 30 LISTS or PUPILS recommended...

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

Robert Potts - 1868 - 410 σελίδες
...opposite tide 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...which, when produced, the perpendicular falls, and t/ie straight line intercepted without the triangle between the perpendicular and the obtuse angle....

Papers for the schoolmaster, Τόμος 4

1868
...opposite side prsrtuced, the square on the side subtending the obtuse angle is greater than the sqnares on the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, wlieu produced, the perpendicular falls, aud the atiaight line intercepted between the foot of the...

Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1870
...THEOR. — (Important.) Tn obtuse angled triangles, if a perpendicular be drawn from either of tlie acute angles to the opposite side produced, the square...which when produced the perpendicular falls, and the st. line intercepted without the triangle between the perpendicular and tJie obtuse angle. CONS. —...

Elements of geometry, containing the first two (third and fourth ..., Μέρος 1

Euclides - 1871
...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...perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. li OV Let ABC be an obtuse-angled...

Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 349 σελίδες
...subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by ttcice the rectangle contained by the side, upon which, when...perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. a Let ABC be an obtuse.angled...

The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter MASON - 1872
...obtuse-angled triangle the square on the side subtending the obtuse angle exceeds the sum of the squares on the sides containing the obtuse angle by twice the rectangle contained by either of them and the distance between a perpendicular drawn to that side produced from the opposite...

The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873
...to the square of AIL XII. — 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 sub' tending the obtuse angle, is greater than the squares of the sides containing the obtuse angle,...




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