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Boeken Boek 31 - 40 van 120 over If the angle of a triangle be bisected by a straight line which also cuts the base....
" If the angle of a triangle be bisected by a straight line which also cuts the base ; the segments of the base shall have the... "
Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ... - Pagina 2
door Woolwich roy. military acad - 1884
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Robert Potts - 1845
...other sides of the triangle have to one another : and conversely, if the segments of the base produced have the same ratio which the other sides of the triangle have ; the straight line drawn from the vertex to the point of section divides the outward angle of the...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 pagina’s
...which the other sides of the triangle have to one another : and if the segments of the base produced have the same ratio which the other sides of the triangle have, the straight line drawn from the vertex to the point of section divides the outward angle of the triangle...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...same base DE ; therefore DE is parallel to BC. Wherefore, If a straight line $c. QED PROP. III. THEOR. If the vertical angle of a triangle be bisected by...the other sides of the triangle have to one another : and if the segments of the base have the same ratio which the other sides of the triangle have to...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 317 pagina’s
...parallel to BC. 124 PROP. ILL THEOR. If the angle of a triangle be bisected by a straight line whichalso c.uts the base ; the segments of the base shall have...the other sides of the triangle have to one another ; And if the segments of the base have the same ratio which the other sides of the triangle have to...
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The Elements of Geometry, Symbolically Arranged

1846
...divided into two equal angles, by a straight line which cuts a side ; the segments of that side will have the same ratio which the other sides of the triangle have to each other. 55. The four triangles into which a trapezium is divided by its diameters, are proportionals....
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The Elements of Geometry, Symbolically Arranged

1846
...divided into two equal angles, by a straight line which cuts a side; the segments of that side will have the same ratio which the other sides of the triangle have to each other. 55. The four triangles into which a trapezium is divided by its diameters, are proportionals....
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...other sides of the triangle have to one another : and conversely, if the segments of the base produced, have the same ratio which the other sides of the triangle have, the straight line drawn from the vertex to the point of section, divides the outward angle of the triangle...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1849 - 317 pagina’s
...PROP. III. THEOR. If the angle of a triangle be bisected by a straight line which also cuts the bate ; the segments of the base shall have the same ratio...the other sides of the triangle have to one another ; And if the segments of the base have the tame ratio which the other sides of the triangle have to...
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The English Journal of Education, Volume 4

1850
...inscribe a circle in a given triangle. 3. If the angle of a triangle be divided into two equal angles, by a straight line which also cuts the base : the...the other sides of the triangle have to one another : and conversely, if the segments of the base have the same ratio which the other sides of the triangle...
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THE PRINCIPLES OF THE SOLUTION OF SENATE-HOUSE 'RIDERS'

FRANCIS J. JAMESON - 1851
...divided into two equal angles by a straight line, which also cuts the base, the segments of the base have the same ratio which the other sides of the triangle have to one another, (vi. 3.) (JB). If A, B, C, be three points in a straight line, and D a point at which AB and BC subtend...
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