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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 - 653 sider
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The Element of Geometry

John Playfair - 1836 - 148 sider
...have the 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 have to one another, the straight line drawn from the vertex to the point of section, divides the vertical angle into two...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 332 sider
...CAD : Therefore the angle BAG is cut into two equal angles by the straight line AD. 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 same ratio which...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 sider
...one another, as the other sides of the triangle have : and (2.) 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 triangle....
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 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 bisects the exterior angle of the triangle....
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 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 - 1842 - 332 sider
...be bisected by a straight line which also outs the base produced ; the segments between thebisecting line and the extremities of the 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 same ratio which the...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1844 - 338 sider
...a straight line which also cuts the base produced; the segments between the bisecting line and tlte extremities of the 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 same ratio which the...
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The British Annals of Education for ...: Being The Scholastic ..., Volumer 1-2

1844 - 688 sider
...into two equal angles, by a straight line which also cuts the base, the segments of the base shall have the same ratio which the other sides of the triangle have one to another ; and if the segments have the same ratio which the sides have, the straight line drawn...
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A system of practical mathematics; being no.xvi. of a new series of school-books

Scottish school-book assoc - 1845 - 444 sider
...segments BD, DC, which have the same ratio as the other sides, BA, AC ; and if the seg- B DC incuts of the base have the same ratio ' which the other sides of the triangle have to each other, the right line drawn from the vertex to the point of section divides the vertical angle...
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