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" ... line and the extremities of the base have the same ratio which the other sides of the triangle have to one... "
A Supplement to the Elements of Euclid - Σελίδα 296
των Daniel Cresswell - 1819 - 410 σελίδες
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...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...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 σελίδες
...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 each other ; and if the segments of the base produced have the same ratio which the other sides...

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...cut into two equal angles by the straight line AD. Therefore, if the angle, &c. QED PROP. A. THEOR. IF the outward angle of a triangle made by producing...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...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1813 - 714 σελίδες
...¡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...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 σελίδες
...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...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 σελίδες
...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...

Solutions of the Cambridge Problems: From 1800 to 1820, Τόμος 2

John Martin Frederick Wright - 1825 - 798 σελίδες
...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...

A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 σελίδες
...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...

Alma mater; or, Seven years at the University of Cambridge. By a Trinity-man ...

John Martin F. Wright - 1827 - 632 σελίδες
...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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...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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