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" ... extremities of the base shall have the same ratio which the other sides of the triangle have to one... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Side 160
av John Playfair - 1806 - 311 sider
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...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 bisects the vertical angle. Let it be given that the angle BAG of the triangle ABC is divided into two equal angles...
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Cambridge Senate-house Problems and Riders for the Year 1860: With Solutions

Henry William Watson, Edward John Routh - 1860 - 198 sider
...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...
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Cambridge Senate-house Problems and Riders for the Year 1860: With Solutions

Henry William Watson, Edward John Routh - 1860 - 197 sider
...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...
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861
...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...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 into...
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Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., Volum 2

Robert Potts - 1863
...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...
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Guide to the Civil service

Henry White - 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...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 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 : and converselg, if the segments of the base produced have the same ratio which the...
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The college Euclid: comprising the first six and the parts of the eleventh ...

Euclides - 1865
...base, have the same ratio which the other sides of the triangle hare to one another ; and conversely, if the segments of the base produced have the same ratio which the other sides of the triangles have; then the straight line drawn from the vertex to the point of section divides the outward...
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Handbook to government situations: or, The queen's Civil service considered ...

Civil service - 1866
...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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 sider
...extremities of the base shall have the tame ratio which the other sides of the triangle have to one another; an'd if the segments of the base produced 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 shall bisect the exterior...
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