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" A straight line is said to be cut in extreme and mean ratio, when the whole is to the greater segment as the greater segment is to the less. "
Euclid's Elements of plane geometry [book 1-6] with explanatory appendix ... - Página 117
por Euclides - 1840
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 páginas
...and mean ratio, when the whole is to the greater segment as the greater segment is to the less. IV. The altitude of any figure is the straight line drawn from its vertex perpendicular to the base. Book VI. PROP. I. THEOR. TRIANGLES of the same altitude are to one another as their bases...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 páginas
...and mean ratio, when the whole is to the greater segment, as the greater segment is to the less. IV. The altitude of any figure is the straight line drawn from its vertex perpendicular to the base. PROP. I. THEOR. See N. TRIANGLES and parallelograms of the same altitude are one to another...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volumen5

John Mason Good - 1813 - 714 páginas
...manner, that a side of the first figure is to a side of the other, as the remaining side of this other is to the remaining side of the first. 3. A straight...straight line drawn from its vertex perpendicular to the base. Prop. I. Tin or. Triangles and parallelograms of the same altitude are one to another as...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 páginas
...and mean ratio, when the whole is to the greater segment, as the greater segment is to the less. IV. The altitude of any figure is the straight line drawn from its vertex perpendicular to the base. PROP. I. THEOR. Triangles and parallelograms, of the same altitude, are one to another as...
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Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826 - 276 páginas
...sides of the second, as the remaining side of the second is to the remaining side of the first. III.— The altitude of any figure is the straight line drawn from its vertex perpendicular to its base. Book IV. PROP. I. THEOREM. Triangles of the same altitude are to one another as their bases. Let the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 326 páginas
...and mean ratio, when the whole is to the greater segment, as the greater segment is to the less. IV. The altitude of any figure is the straight line drawn from its vertex perpendieular to the base. "f PROP. I. THEOR. Triangles and parallelograms, of the same Altitude, are...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 páginas
...and mean ratio, when the whole is to the greater segment, as the greater segment is to the less. IV. The altitude of any figure is the straight line drawn from its vertex perpendicular to the base. PROP. I. THEOR. Tria?1gles and parallelograms of the same altitude are SeeN. one to another...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - 1829 - 210 páginas
...lines have. ED. 3. A straight line is said to be cut in extreme and mean ratio, when the whole line is to the greater segment as the greater segment is...straight line drawn from its vertex perpendicular to the base. PROPOSITION I. THEOREM. Triangles of the same altitude are to one another as their bases;...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 páginas
...and mean ratio, when the whole is to the greater segment, as the greater segment is to the less. IV. The altitude of any figure is the straight line drawn from its vertex perpendicular to the base. Book VI. ^ PROP. I. THEOR. see N. Triangles and parallelograms of the same altitude are one...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 páginas
...2. Two sides of one figure are sakl to be reciprocally proportional to two sides of another, whet) one of the sides of the first is to one of the sides...straight line drawn from its vertex perpendicular to the base. PROP. I. Triangles and parallelograms, of the same altitude, are one to another as their...
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