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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... "
Vectors and Rotors: With Applications - Side 29
av Olaus Henrici, George Charles Turner - 1903 - 204 sider
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 sider
...by producing one of its sides, be divided into two equal angles, by a straight line which also cuts the base produced; the segments between the dividing...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 - 1806 - 320 sider
...be bisected by a straight line which 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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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1813 - 714 sider
...¡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 - 588 sider
...by producing one of its sides, be divided into two equal angles, by a straight line which also cuts the base produced ; the segments between the dividing...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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A Supplement to the Elements of Euclid

Daniel Cresswell - 1819 - 486 sider
...by producing one of its sides, be divided into two equal angles, by a straight line which also cuts the base produced, the segments between the dividing...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 - 1819 - 350 sider
...bisected by a straight line which alsu 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 triangles have to one another : Jlnd if the segments of the base produced have the same ratio which...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1819 - 800 sider
...two equal an^lc?, by a straight line »hich also cuts the b.isr produced ; the segments between ihc dividing line and the extremities of the base have the same ratio which the other sidei of the ttungle have to one another : and if the segments of the base produced, have the same...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 514 sider
...be divided into two equal angles, by a straight line which also cuts the base produced: the segmenfs between the dividing line and the extremities of 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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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 sider
...into Into equal angles, bii„a straight line which a/so cuts the base produced ; the segments bijjeen the dividing line and the extremities of the base...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, Volum 2

John Martin Frederick Wright - 1825 - 798 sider
...be bisected by a straight line which 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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