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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 ... - Page 160
by John Playfair - 1806 - 311 pages
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...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 - Mathematics - 1860 - 240 pages
...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 - Mathematics - 1860 - 240 pages
...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 - 464 pages
...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 ..., Volume 2

Robert Potts - 1863 - 482 pages
...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 - 156 pages
...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 - 448 pages
...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 - 402 pages
...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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...also cuts the bane 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...
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Handbook to government situations: or, The queen's Civil service considered ...

Civil service - 1866 - 270 pages
...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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