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Boeken Boek 51 - 60 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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The practice of engineering field work, applied to land, hydrographic, and ...

W. Davis Haskoll - 1858 - 324 pagina’s
...one side will be to its adjacent segment of the base as the other side is to the other segment, and the segments of the base shall have the same ratio...the other sides of the triangle have to one another. Any two triangles having an equal angle in each, contained by proportional sides, are similar to each...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 1869 pagina’s
...equiangular pentagon in a given circle. 8. If the angle of a triangle be divided into two equal parts by a straight line which also cuts the base, the segments...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
...base are between fhe same parallels (I. 89)} therefore DE is parallel to BC. PEOPOSITION HI. THEOHEM. 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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Cambridge senate-house problems and riders for the year 1860; with solutions ...

Henry William Watson, Edward John Routh - 1860
...also cuts the base produced ; the segments between the dividing line and the extremities of the base have the same ratio which 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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 pagina’s
...aha cuts the base produced ; the segments between the dividing line and the extremities of the base, have the same ratio which 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 - 198 pagina’s
...also cuts the base produced ; the segments between the dividing line and the extremities of the base have the same ratio which 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
...(ABC) be bisected by a straight line (AD) which also cuts the base, the segments of the base (BD, DC) shall have the same ratio which the other sides of the triangle (AB, AC) have to one another. [2.] And if a straight line (AD) drawn from any angle of a triangle (ABC)...
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861
...other sides of fIie 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 st. line drawn from the vertex to the point of section, divides the outward angle of the triangle...
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Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., Volume 2

1863
...that P, R, Q are in one straight line. 3. 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 ; 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

1864
...also cuts the base produced, the segments between the dividing line and the extremities of the base have the same ratio which 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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