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Books Books 1 - 10 of 66 on In every triangle, the square of the side subtending any of the acute angles is less....  
" In every triangle, the square of the side subtending any of the acute angles is less than the squares of the sides containing that angle by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular... "
An elementary treatise on the geometrical and algebraical investigation of ... - Page 36
by Daniel Cresswell - 1817 - 436 pages
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Euclid, Robert Simson - Euclid's Elements - 1806 - 518 pages
...of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular...let fall upon it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle at B one of its acute angles, and upon BC, one...
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Elements of geometry: containing the first six books of Euclid, with a ...

John Playfair - Trigonometry - 1806 - 311 pages
...of the sides containing that angle, by twice the rect. angle contained by either of these sides and the straight line intercepted between the perpendicular,...let fall upon it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle at B one of its acute angles ; and upon BC, one...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory, and N ...

John Mason Good, Olinthus Gilbert Gregory - 1813
...of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular...let fall upon it from the opposite angle, and the acute angle. Prop. XIV. Prob. To describe a square that shall be equal to a given rectilineal figure....
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...angle, by twice the rectangle contained by either of these sides, and the straight line intercopted between the perpendicular let fall upon it from the opposite angle, and the acute angle. .' Let ABC be any triangle, and the angle at B one of its acute angles, and upon BC, one...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pages
...of the fides containing that angle, by twice the rectangle contained by either ot these sides, and the straight line intercepted between the perpendicular let fall upon it from ttie opposite angle, and the acute angle. Let ABC be any triangle, and the angle at B one of its acute...
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A supplement to the Elements of Euclid

Daniel Cresswell - Geometry, Plane - 1819 - 410 pages
...perpendiculars drawn from B, C, fall within AD the less of the two parallel sides. PROP. XIII. 15. THEOREM. The square of the base of an isosceles triangle is...the opposite angle, and the extremity of the base. If the vertical angle of the isosceles A be a right angle, the proof of the proposition is manifestly...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Trigonometry - 1819 - 333 pages
...of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular,...let fall upon it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle at B one of its acute angles, and upon BC, one...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory, and N ...

John Mason Good, Olinthus Gilbert Gregory - 1819
...angle, by twice the rectangle contained by eithei of these sides, and the straight line ”ntercepuJ between the perpendicular let fall upon it from the opposite angle, and the acute angle. Prop. XIV. Prob. To describe a square that shall be equal to a civen rectilineal figure....
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A supplement to the elements of Euclid

Daniel Cresswell - Mathematics - 1825 - 582 pages
...perpendiculars drawn from B, C, fall within AD the less of the two parallel sides. PROP. XIII. 15. THEOREM. The square of the base of an isosceles triangle is...straight line intercepted between the perpendicular, let Jall upon it from the opposite angle, and the extremity of the base. If the vertical angle of the isosceles...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 372 pages
...angle by twice the rectangle contained by either of these sides, and the straight line inteicepted between the perpendicular let fall upon it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle at В one of its acute angles, and upon BC, one...
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