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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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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 sider
...divided 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 to one another. If, on the same side of a point 0 in the same straight line, points A, C, B be taken such, that OA...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 sider
...divided into two equal parts 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. 9. Shew how to measure on the ground the angle contained between any two inaccessible lines. 10. Through...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 sider
...PROPOSITION A. THEOREM. If the exterior angle of a triangle be bisected by a straight line -which also cute the base produced, the segments between the bisecting...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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 sider
...equal angles, by a straight line, which aha 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 conversely, if the segments of the base produced have the same ratio which the other sides of the...
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Cambridge Senate-house Problems and Riders for the Year 1860: With Solutions

Henry William Watson, Edward John Routh - 1860 - 240 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. If the two sides, containing the angle through which the bisecting line is drawn, be equal, interpret...
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The Elements of Euclid with Many Additional Propositions and Explanatory Notes

Eucleides - 1860 - 396 sider
...If a straight line drawn from the vertex of a triangle cuts the base produced, BO that its segments have the same ratio which the other sides of the triangle have. If both the exterior angle and the adjacent interior angle of a triangle be bisected by straight lines...
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861 - 464 sider
...angles, by a st. line, which also cuts the base produced ; the segments between the dividing line and ibe extremities of the base, have the same ratio which the other sides of fIie triangle have to one another ; and conversely, if the segments of the base produced have the same...
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Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., Volum 2

Robert Potts - 1863 - 482 sider
...divided 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 to one another ; and conversely. Given the base of a triangle and the point where the line bisecting the exterior...
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Guide to the Civil service

Henry White - 1864 - 156 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. 7. Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 sider
...other sides of the triangle have to one another : and converselg, 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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