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" ... of the base have the same ratio which the other sides of the triangle have to one... "
Senate Documents, Otherwise Publ. as Public Documents and Executive ... - Page 243
by United States. Congress. Senate - 1880
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The Geometrician: Containing Essays on Plane Geometry, and Trigonometry ...

Benjamin Donne - Geometry, Plane - 1775 - 338 pages
...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 into...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...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 - Mathematics - 1806 - 320 pages
...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 ..., Volume 5

John Mason Good - 1813 - 714 pages
...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 pages
...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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A Supplement to the Elements of Euclid

Daniel Cresswell - Geometry - 1819 - 446 pages
...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 - Circle-squaring - 1819 - 350 pages
...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 - Geometry - 1819 - 486 pages
...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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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...the segments of the base produced have the satne 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 triangle. Let the exterior angle CAE, of any triangle ABC, be bisected...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 514 pages
...same ratio which 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...the straight line drawn from the vertex to the point ofsection, divides the vertical angle into two equal angles.* Let the angle B AC of any triangle ABC...
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