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" ... 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, when produced, the perpendicular falls, and the straight line intercepted without the triangle... "
The first two books of the Elements of Euclid, with additional figures ... - Σελίδα 109
των Euclides - 1852
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 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,...

Responsions

University of Oxford - 1863 - 316 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,...

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

Euclides - 1864 - 262 σελίδες
...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 and the obtuse angle. Let ABC be an obtuse-angled triangle, having the obtuse angle ACB, and from the point A, let AD be drawn perpendicular...

The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 σελίδες
...containing the obtuse angle, by twive the rectangle contained by the side upon which, when produved, the perpendicular falls, and the straight line intercepted...between the perpendicular and the obtuse angle. Let AB C be an obtuse-angled triangle, having the obtuse angle A CB, and from the point A, let AD be drawn...

Papers Read at the Royal Institute of British Architects

1865 - 276 σελίδες
...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...triangle between the perpendicular and the obtuse angle. 7. Prop. 14. — Theorem. To describe a square equal to a given rectilineal figure. SECOND DAY.—...

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

Robert Potts - 1865 - 528 σελίδες
...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 and the obtuse angle. Let ABC be an obtuse-angled triangle, having the obtuse angle A CB, and from the point A, let AD be drawn perpendicular...

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

Euclides - 1865 - 402 σελίδες
...be drawn from either of the acute angles to the opposite side prodnced; then the square of the side subtending the obtuse angle is greater than the squares...the rectangle contained by the side upon which, when prodnced, the perpendicular falls, and the straight line intercepted without the triangle between the...

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

John Playfair - 1855 - 350 σελίδες
...perpendicular be drawn from any of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle is greater than the squares...which, when produced, the perpendicular falls, and the-straight line intercepted between the perpendicular and the obtuse angle. Let ABC be an obtuse...

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

Euclid, Isaac Todhunter - 1867 - 424 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 Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 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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