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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
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Examination papers used at the examination of candidates for appointment to ...

War office - 1861
...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...

Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1861
...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,...

Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 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...

The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced; then the square of the side subtending the obtuse angle...perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. (References — Prop. i. 47 ;...

Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...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,...

Responsions

University of Oxford - 1863
...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,...

Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...opposite side produced, the square on the aide 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. Let ABC be an obtuse-angled triangle,...

Papers Read at the Royal Institute of British Architects

1865
...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...perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. 7. Prop. 14. — Theorem. To describe...

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

Euclides - 1865
...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...of the side subtending the obtuse angle is greater thau the squares of the sides containing the obtuse angle, by twice the rectangle contained by the...

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,...




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