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" ... line and the extremities of the base have the same ratio which the other sides of the triangle have to one... "
Solutions of the Cambridge Problems: From 1800 to 1820 - Side 654
av John Martin Frederick Wright - 1825
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The Geometrician: Containing Essays on Plane Geometry, and Trigonometry ...

Benjamin Donne - 1775 - 159 sider
...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 - 518 sider
...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 - 311 sider
...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 ..., Volum 5

John Mason Good - 1813
...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 - 528 sider
...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 - 317 sider
...into two equal angles by the straight line AD. Therefore, if the angle, &c. Q,. ED PROP. A. THEOR. If the exterior angle of a triangle be bisected by...base have the same ratio which the other sides of the triangles have to one another : And if the segments of the base produced have the satne ratio which...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 sider
...Q, ED PROP. A. THEOR. If the exterior angle of a triangle be bisected by a straight line which alsu cuts the base produced ; the segments between the...base have the same ratio which the other sides of the triangles have to one another : Jlnd if the segments of the base produced have the same ratio which...
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A Supplement to the Elements of Euclid

Daniel Cresswell - 1819 - 410 sider
...equal angles, by a straight line which also cuts the base produced, the segments between the dividing line and the extremities of the base have the same...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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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1819
...an^lc?, by a straight line »hich also cuts the b.isr produced ; the segments between ihc dividing line and the extremities of the base have the same ratio which the other sidei of the ttungle have to one another : and if the segments of the base produced, have the same...
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A Supplement to the Elements of Euclid

Daniel Cresswell - 1819 - 410 sider
...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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