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Books Books 1 - 10 of 123 on ... extremities of the base shall have the same ratio which the other sides of the....  
" ... 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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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Euclid, Robert Simson - Euclid's Elements - 1806 - 518 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 if the segments of the base produced, have the same ratio which the other sides...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1810 - 518 pages
...extremities of the base have the same ratio which the other sides of the triangle have to one another: and if the segments of the base produced, have the...the other sides of the triangle have, the straight lme drawn from the vertex to the point of section divides the outward angle of the triangle into two...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory, and N ...

John Mason Good, Olinthus Gilbert Gregory - 1813
...”oto tiro rqnal angles, by a straight line »liich 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 if the seginenU of the b.ise have the same ratio which the other sides of the...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pages
...same ratio which 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 one another, the straight line drawn from the vertex to the point of section, divides the vertical...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Trigonometry - 1819 - 333 pages
...a triangle be bisected 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 : Andifthe segments of the basiJiave ihe same ratio -ahich the other sides of the triangle...
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A supplement to the Elements of Euclid

Daniel Cresswell - Geometry, Plane - 1819 - 410 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 if the segments of the base, produced, have the same ratio which the other sides...
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Solutions of the Cambridge Problems: From 1800 to 1820, Volume 2

John Martin Frederick Wright - Mathematics - 1825
...also cuts the base produced, the segments between the bisecting line and the extremities of the base, have the same ratio which the other sides of the triangle have to one another. Shew that the converse is also true. 2. Equiangular parallelograms have to one another...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 372 pages
...a/so cuts the base produced ; the segments bijjeen 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 if the segments of the base produced, have the same ratio which the other sides...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1826 - 320 pages
...triangles have to one another : And if the segments of the base produeed have the same ratio whieh the other sides of the triangle have, the straight line, drawn from the vertex to the point of seetion, hiseet the exterior angle of the triangle. Let the exterior angle CAE, of any triangle ABC,...
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Elements of arithmetic, algebra and geometry

George Lees - 1826
...segments of the base have the same ratio which the other two sides of the triangle have to one another, the straight line, drawn from the vertex to the point of section, bisects the vertical angle. Through C, draw CE parallel to AD, meeting BA produced in E. The exterior angle BAD...
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