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" which, when produced, the perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. 2. If a straight line be divided into any two parts, the square on the whole line is equal to the squares... "
Report of the Secretary for Public Instruction ... - Pagina 106
door Queensland. Department of Public Instruction - 1907
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 pagina’s
...squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and...triangle between 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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 554 pagina’s
...squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and...triangle between the perpendicular and the obtuse angle. Let ABC be an obtuse angled triangle, having the obtuse angle ACB, and from the point A let At) be...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pagina’s
...squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and...triangle between the perpendicular and the obtuse angle. Prop. XIII. Theor. In every triangle, the square of the side subtending any of the acute angles, is...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1819 - 800 pagina’s
...squares of the sides containing the obtuse angle, by twice the rectangle contained br the side upon which, when produced, the perpendicular falls, and...intercepted without the triangle between the perpendicular аи-I the obtuse angle. Pmp. XIII. Theor. In every triangle, the square of the side subtending any...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 514 pagina’s
...squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and...triangle between the perpendicular and the obtuse angle. Because the straight line BD is divided into two parts in the point C, the square of BD is equal (4....
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 pagina’s
...squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and...triangle between 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...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 pagina’s
...squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and...triangle between 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*...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1829 - 548 pagina’s
...squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and...triangle between the perpendicular and the obtuse angle. Because the straight line BD is divided into two parts in the point C, the square of BD is equal (4....
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 584 pagina’s
...AB is equal to the rectangles under С and AD, С and DE, С and E B. Therefore, &c. Cor. (Rue- ii. 2.) If a straight line be divided into any two parts, the rectangles contained by the whole line and each of the parts, shall be together equal to the square...
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Geometry, plane, solid, and spherical. To which is added, in an appendix ...

Pierce Morton - 1830 - 300 pagina’s
...AB is equal to the rectangles under С and AD, С and DE, С and E B. Therefore, &c. Сor. (Eue. ii. 2.) If a straight line be divided into any two parts, the rectangles contained by the whole line and each of the parts, shall be together equal to the square...
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