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 Boeken Boek 71 - 80 van 120 over If the angle of a triangle be bisected by a straight line which also cuts the base....
If the angle of a triangle be bisected by a straight line which also cuts the base ; the segments of the base shall have the...
Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ... - Pagina 2
door Woolwich roy. military acad - 1884
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## Recent military, naval, and civil service examination papers in mathematics ...

Braithwaite Arnett - 1874
...circumscribing circles. 5. Inscribe an equilateral and equiangular hexagon in a given circle. 6. If an angle of a triangle be bisected by a straight line...the other sides of the triangle have to one another. 7. Similar triangles are to one another in the duplicate ratio of their homologous sides. 8. A and...
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## The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...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 triangle have ; the straight line drawn from the vertex to the point of section, divides the outward angle of the...
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## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 pagina’s
...of which it is the segment. 3. If the vertical angle of a triangle be divided into two equal angles by a straight line which also cuts the base, the segments...the other sides of the triangle have to one another. 4. In a right-angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles...
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## Examination Christmas,1875

...eight times either of the other two. 2. If the angle of a triangle be divided into two equal angles by a straight line which also cuts the base, the segments...the other sides of the triangle have to one another. If all the angles of a triangle be thus divided, the continued product of three alternate segments...
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## Elements of Geometry Containing Books I. to VI. and Portions of Books XI ...

James Hamblin Smith - 1876 - 348 pagina’s
...that AD is to DB as AC is to OB. And Conversely, If the segments of the base produced have the so/me ratio, which the other sides of the triangle have to one another, the straight line drawn from the. vertex to the point of section must lisect the exterior angle of...
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## Mathematical exercises

Samuel H. Winter - 1877
...straight line, ,and find the angles which this line makes with the two sides of the original triangle. 8. If the vertical angle of a triangle be bisected by...the other sides of the triangle have to one another. If ABC be the triangle, A the vertical angle, BE and CE the segments of the base, and if circles be...
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## Solutions to the mathematical examination papers set for admission to the ...

D. Tierney - 1877
...sides AB and AC of the given triangle. 8. If the angle of a triangle be divided into two equal angles, by a straight line which also cuts the base, the segments...the other sides of the triangle have to one another. If ABC be the triangle, A the vertical angle, BE, CE the segments of the base, and if circles be described...
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## Civil Service of India: Open Competition for the Regulations, Examinations ...

1878
...Describe a square about a given circle. 6. If the angle of a triangle be divided into two equal angles by a straight line which also cuts the base, the segments...the other sides of the triangle have to one another. Given the base and the ratio of the sides of a triangle, find the locus of its vertex. 7. Draw a straight...
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## Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1878 - 349 pagina’s
...produced, the segments, between tin dividing straight line and the extremities of the base, must hat' the same ratio, which the other sides of the triangle have to oia another. B Let i EAC, an ext' / of the A ABC, be bisected by the st. line AD which meets the base...
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## First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879
...describe a triangle equiangular to a given triangle. 6. Define ratio, proportion, ex aequali, and part. 7. If the vertical angle of a triangle be bisected by...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...
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