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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 - Page 256
by Daniel Cresswell - 1819 - 410 pages
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Alma mater; or, Seven years at the University of Cambridge. By a Trinity-man ...

John Martin F. Wright - 1827 - 632 pages
...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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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - Geometry - 1829 - 210 pages
...extremities of the base have the same ratio which the adjacent sides of the triangle have to each other; and if the segments of the base produced have the same ratio which the adjacent sides of the triangle have, the straight line drawn from the vertex to the point of section...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1833 - 346 pages
...bisecting line and the extremities of the base have the same ratio which the other sides of the triangles have to one another ; And if the segments of the base...have, the straight line, drawn from the vertex to tJie point of section, bisects the exterior angle of the triangle. Let the exterior angle CAE, of any...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1835 - 336 pages
...bisecting line and the extremities of the base have the same ratio which the other sides of the triangles have to one another ; And if the segments of the base...produced have the same ratio which the other sides of the triangles have, the straight line, drawn from the vertex to the point of section, bisects the exterior...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 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 Element of Geometry

John Playfair - Geometry - 1836 - 148 pages
...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 if the segments of the base have the same ratio which the other sides of the triangle...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...u 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 : And if the segments of the base have the same ratio which the other sides of the triangle...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1837 - 332 pages
...bisecting line and the extremities of the base have the same ratio which the other sides of the triangles have to one another ; And if the segments of the base...produced have the same ratio which the other sides of the triangles have, the straight line, drawn from the vertex to the point of section, bisects the exterior...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 pages
...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 ; 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 ...

Euclides - Geometry - 1841 - 378 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, dirrides the vertical...
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