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" ... of the base, have the same ratio which the other sides of the triangle have to one... "
A system of practical mathematics; being no.xvi. of a new series of school-books - Page 116
by Scottish school-book assoc - 1845
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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) cyclopędia, 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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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1819 - 800 pages
...hive the same ratio which the other sides of the triangle hare to one another : and if the segments of the base have the same ratio which the other sides of the triangle have to one another, ш straight line drawn from the vertex to the point of section, divides the vertical angle...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...line which alsu 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 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 - 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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Solutions of the Cambridge Problems: From 1800 to 1820, Volume 2

John Martin Frederick Wright - Mathematics - 1825 - 798 pages
...line which 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...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 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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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 pages
...and if the segments of the base have the same ratio which the remaining sides of the triangle have, the right line drawn from the vertex to the point of section bisects the vertical angle of the triangle. • 31.i. For through c draw CE parallel* to DA and BA...
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