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" 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 ... - Seite 2
von Woolwich roy. military acad - 1884
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The Geometrician: Containing Essays on Plane Geometry, and Trigonometry ...

Benjamin Donne - 1775 - 338 Seiten
...Iriangle have to one another ; viz. as BD : DC :: AB : AC. And if the Segments of the Bafe have the fame Ratio which the other Sides of the Triangle have to one another, the Line AD, drawn from the Vertex to the Point of cutting^ will divide the ¿ ВАС of the Triangle...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 Seiten
...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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 Seiten
...which the other sides of the triangle have to each other ; 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, bisects the exterior angle of the...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Band 5

John Mason Good - 1813 - 714 Seiten
...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 tri.uigle...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 Seiten
...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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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 Seiten
...; therefore DE is parallel to BC. Wherefore, if a straight line, &c. Q, ED PROP. III. THEOR. If the angle of a triangle be bisected by a straight line...the other sides of the triangle have to one another : And if the segments of the base have the same ratio -sehich the other sides of the triangle have...
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A Supplement to the Elements of Euclid

Daniel Cresswell - 1819 - 446 Seiten
...also cuts the base produced, the segments between the dividing line and the extremities of the base have the same ratio, 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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 Seiten
...which the other sides of the triangles have to one another : Jlnd 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, bisects the exterior angle of the...
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A Supplement to the Elements of Euclid

Daniel Cresswell - 1819 - 486 Seiten
...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...
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Solutions of the Cambridge Problems: From 1800 to 1820, Band 2

John Martin Frederick Wright - 1825 - 798 Seiten
...also cuts the base produced, the segments between the bisecting line and the extremities of the base, have the same ratio which the other sides of the triangle have to one another. Shew that the converse is also true. 2. Equiangular parallelograms have to one another the rat» which...
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