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" If an angle of a triangle be bisected by a straight line, which likewise cuts the base; the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square of the straight line... "
The Contents of the Fifth and Sixth Books of Euclid - Σελίδα 100
των Euclid, Micaiah John Muller Hill - 1900 - 143 σελίδες
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 σελίδες
...circles, -&c. QED PROP. B. THEOR. IF an angle of a triangle be bisected by a straight line, which likewise cuts the base, the rectangle contained by the sides...the segments of the base, together with the square of the straight line bisecting the angle. Let ABC be a triangle, and let the angle BAG be bisected...

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 σελίδες
...QED PROP. B. THEOR. See N. IF an angle of a triangle be bisected by a straight line, which likewise cuts the base ; the rectangle contained by the sides...the segments of the base, together with the square of the straight line bisecting the angle. Let ABC be a triangle, and let the angle BAC be bisected...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1813 - 714 σελίδες
...the sectors. Prop. B. Theor. If an angle of a triangle be bisected by a straight line, which likewise cuts the base ; the rectangle contained by the sides...the segments of the base, together with the square of the straight line bisecting the angle. Prop. C. Theor. If from any angle of a triangles straight...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 σελίδες
...**-v-' PRO*. Bl THEOR. Se«N. Ip an angle of a triangle be bisected by a straight line whieh likewise cuts, the base; the rectangle contained by the sides...the segments of the base, together with the square of the straight line, bisecting the angle. Let ABC be a triangle, and let the angle BAG be bisected...

A Supplement to the Elements of Euclid

Daniel Cresswell - 1819 - 486 σελίδες
...FL, and it is manifest, that the segment CL is equal to the segment BK. PROP. LV. 64. THEOREM. If an angle of a triangle be bisected by a straight line,...the segments of the base, together with the square of the straight line bisecting the angle. Let ABC_be a A, andjet the L BAC be bisected by AD-, then...

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

John Playfair - 1819 - 354 σελίδες
...&c, Q, ED PROP. B. THEOR. If an angle of a triangle be bisected by a straight line, which likentist cuts the base ; the rectangle contained by the sides...segments of the base, together •with the square of the straight line bisecting the angle* Let ABC be a triangle, and let the angle BAC be bisected...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1819 - 800 σελίδες
...the sectors. Prop. B. Theor. If an angle of a triangle be bisected by a straight line, which likewise cuts the base ; the rectangle contained by the sides...contained by the segments of the base, together with the sijuare of the straight line bisecting the angle. Prop. C. Theor. If from any angle of a triangle a...

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

John Playfair - 1819 - 350 σελίδες
...straight line, which likewise cuts the base ; the rectangle contained by the sides of the triangle ist equal to the rectangle contained by the segments of the base, together with the square of the straight line bisecting the angle. Let ABC be a triangle, and let the angle BAC be bisected...

A Supplement to the Elements of Euclid

Daniel Cresswell - 1825 - 616 σελίδες
...triangle be bisected by a straight line, which also cutis the base, the rectangle, contained by the sidea of the triangle. is equal to the rectangle contained...the segments of the base, together with the square of the straight line bisecting the angle. Let ABC be a triangle, and let the / BAC be bi_A sected by...

A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 σελίδες
...straight line which likewise cuts the base ; the rectangle contained by the sides of the triangle it equal to the rectangle contained by the segments of the base, together tcilh the square of the straight line bisecting the angle. straight line AD ; the rectangle BA, AC...




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