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 Boeken Boek 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... Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Pagina 96
door Robert Potts - 1860 - 361 pagina’s
Volledige weergave - Over dit boek ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 pagina’s
...Which was to be done, Book II. PROP. XII. THEOR. 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 aigle is greater than the squares of the sides contain ng the obtuse...
Volledige weergave - Over dit boek ## The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 pagina’s
...AH. Which was to be done. PROP. XII. THEOR. 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...
Volledige weergave - Over dit boek ## The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834
...was to be done. PROPOSITION XII. THEOR. — 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...
Volledige weergave - Over dit boek ## The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - 1835 - 513 pagina’s
...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...side upon which, when produced, the perpendicular fulls, and the straight line intercepted without the triangle between the perpendicular and the obtuse...
Volledige weergave - Over dit boek ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1836 - 471 pagina’s
...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 rectangle contained by the side upon which, tchen produced, the perpendicular falls, and the straight line intercepted between the perpendicular...
Volledige weergave - Over dit boek ## Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - 1837 - 215 pagina’s
...of the sides containing the right angle. 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...
Volledige weergave - Over dit boek ## A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 88 pagina’s
....'. AS x BH = AH*. 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 of the side subtending the obtuse angle is greater than the squares of the sides containing the obtuse...
Volledige weergave - Over dit boek ## The Elements of Euclid

Euclid - 1838 - 416 pagina’s
...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 rectangle contained by the side upon which, wnen produced, the perpendicular falls, and the straight line intercepted without the triangle between...
Volledige weergave - Over dit boek ## Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...Which was to be done. PROP. XII. THEOR. In an obtuseangledtriangle, if a perpendicular be drawnfrom 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...
Volledige weergave - Over dit boek ## The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

Euclides - 1840
...obtuse-angled triangle, the square of the side subtending the obtuse angle exceeds the sum of the squares of the sides containing the obtuse angle, by twice the rectangle contained by either of those sides and the produced part of it intercepted between the perpendicular let fall on...
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