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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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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 sider
...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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The Element of Geometry

John Playfair - 1836 - 114 sider
...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 First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid - 1837 - 390 sider
...the triangle have: and (2.) if the segments of the base have the same ratio as the adjacent sides, the straight line drawn from the vertex to the point of section, bisects the vertical angle. 1. Let the angle BAC of the triangle ABC be bisected by the straight line AD ; BD :...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 sider
...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 Mechanical Euclid: Containing the Elements of Mechanics and Hydrostatics ...

William Whewell - 1837 - 182 sider
...triangle ; and if the segments of the base produced are to each other as the other sides of the triangle, the straight line drawn from the vertex to the point of section divides the exterior angle of the triangle into two equal angles. *PROP. iv. The sides about the equal...
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The Elements of Euclid

Euclid - 1838 - 416 sider
...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 angle into two equal angles.* Let the angle BAC of any triangle ABC be divided...
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The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

Euclides - 1840
...of the triangle; or, if the segments of the base be proportional to the other sides of the triangle, the straight line drawn from the vertex to the point of section, shall bisect the vertical angle. COR.—If a line, bisecting an external angle of a triangle, meet...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 sider
...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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 317 sider
...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 geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...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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