 | Sir John Leslie - Geometry, Plane - 1809 - 522 pages
...given; BD is consequently given, and hence the perpendicular CE is given. COMPOSITION. PROP. IV. PROB. To bisect a given triangle, by a straight line drawn from a given point in one of its sides. Let it be required from the point D to draw DF, bisecting the triangle ABC. ANALYSIS. Bisect(I.7.El.)thesideACinE,andjoinEB... | |
 | Sir John Leslie - Geometry - 1811 - 524 pages
...DEC, and the side AC equal to CD,—are equal, and consequently CF is equal to CE. PROP. IV. PROB. To bisect a given triangle, by a straight line drawn from a given point in one of its sides. . Let it be required^ from the point D, to draw DF, bisecting the triaugle ABC. ANALYSIS. Bisect (I. 7. El.)... | |
 | Miles Bland - Euclid's Elements - 1819 - 444 pages
...equal to the trapezium AGCB, or the given trapezium is bisected by AG. (20.) To bisect a trapezium by a line drawn from a given point in one of its sides. Let ABCD be the given trapezium, and P the given point. I Join PA, and from the angle P bisect the trapezium... | |
 | Sir John Leslie - Curves - 1821 - 510 pages
...portion CD equal to the chord BC drawn from the other side of the interior segment. PROP. VII. PROB. • To bisect a given triangle, by a straight line drawn from a given point in one of its sides. Let it be required, from the point D, to draw DF, bisecting the triangle ABC. ANALYSIS. If D be the middle... | |
 | Sir John Leslie - Curves - 1821 - 518 pages
...portion CD equal to the chord BC drawn from the other side of the interior segment. PROP. VII. PROB. To bisect a given triangle, by a straight line drawn from a given point in one of its sides. Let it be required, from the point D, to draw DF, bisecting the triangle ABC. ANALYSIS. If D be the middle... | |
 | Miles Bland - Geometry - 1821 - 898 pages
...equal, (Eucl. the triangles ABD, ADC are also equal. i. 38.) (16.) To bisect a given triangle by a line drawn from a given point in one of its sides. Let ABC be the given triangle, and P the given point. Bisect BC in D ; join AD, PD ; and from A draw AE... | |
 | Sir John Leslie - Geometry, Analytic - 1828 - 228 pages
...whose centre is the middle point F, having for its radii the equal chords AF and BF. PROP. VI. PROB. To bisect a given triangle, by a straight line drawn from a given point in one of its sides. Let it be required, from the point D, to draw DF, bisecting the triangle ABC. ANALYSIS. If D be the middle... | |
 | Pierce Morton - 1830 - 300 pages
...drawn from one of its angles. PROP. 56. Prob. 15. To bisect a given triangle or recfilfneal figure by a straight line drawn from a given point in one of its sides. First, let it be required to bisect the triangle AB С, by a straight line to be drawn from the point... | |
 | Pierce Morton - Geometry - 1830 - 584 pages
...drawn from one of its angles. PROP. 56. Prob. 15. To bisect a given triangle or rectilineal figure by a straight line drawn from a given point in one of its sides. First, let it be required to bisect the triangle ABC, by a straight line to be drawn from the point... | |
 | James Bryce - Algebra - 1837 - 322 pages
...— ^ - '. , . 26d±V(36<f-— 25а г ) Now, xг — — =— , therefore we have о 6. To bisect a triangle by a straight line drawn from a given point in one of its sides. Let ABC be the giren triangle, and P the given point ; bisect BC in D, and make (Eucí- VI. 12) PC : CD... | |
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To bisect a given triangle by a straight line drawn from a given point in one of its sides. Let 
