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 Bøker Bok If three straight lines be proportionals, the rectangle contained by the extremes is equal to the square on the mean ; and conversely, if the rectangle contained by the extremes be equal to the square on the mean, the three straight lines are proportionals. SYLLABUS OF PLANE GEOMETRY - Side 56
1876
Uten tilgangsbegrensning - Om denne boken ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 sider
...CD : : E : F. Wherefore, if four straight lines, &c. PROP. XVII. THEOR. IF three straight lines be proportional, the rectangle contained by the extremes is equal to the square of the mean ; and if the rectangle contained by the extremes be equal to the square of the mean, the...
Uten tilgangsbegrensning - Om denne boken ## Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - 1829 - 186 sider
...equal the rectangle contained by the means ; and conversely. ED. Cor. 4. If three straight lines be proportional the rectangle contained by the extremes is equal to the square of the mean ; and conversely. ED. Cor. 5. Equal triangles, or equal parallelograms, have their bases...
Uten tilgangsbegrensning - Om denne boken ## Euclid's Elements of plane geometry [book 1-6] with explanatory appendix ...

Euclides - 1840
...Prop. IB). But since D = B, the rectangle B'D is the same as B'B, or the square of B ; and therefore, if three straight lines are proportional, the rectangle contained by the extremes is equal to the square of the mean. And conversely, if three straight lines be such that the rectangle contained by the extremes...
Uten tilgangsbegrensning - Om denne boken ## The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

Euclides - 1840
...the means, the four straight lines are proportional. PROP. XVII. THEOR. If three straight lines be proportional, the rectangle contained by the extremes is equal to the square of the mean: and, if the rectangle contained by the extremes (of three given straight lines) be equal...
Uten tilgangsbegrensning - Om denne boken ## A system of practical mathematics; being no.xvi. of a new series of school-books

...the means of the proportion be equal, the rectangle formed by them will be a square. Hence, " when three straight lines are proportional, the rectangle...contained by the extremes is equal to the square on tie mean ;" and conversely. PROPOSITION LXV — THEOREM. If two chords, AB, CD, cut one another in...
Uten tilgangsbegrensning - Om denne boken ## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 sider
...7.) Wherefore, if four, &c. QED PROPOSITION XVH. THEOREM. If three straight lines be proportionals, the rectangle contained by the extremes is equal to...conversely, if the rectangle contained by the extremes be equal to the square on the mean, the three straight lines are proportionals. r Let the three straight...
Uten tilgangsbegrensning - Om denne boken ## Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...therefore AB is to CD as E toF. PROPOSITION XVII. THEOREM. If three straight lines be proportionals, the rectangle contained by the extremes is equal to the square on the mean ; and if the rectangle contained by the extremes be equal to the square on the mean, the three straight lines...
Uten tilgangsbegrensning - Om denne boken ## The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...7.) Wherefore, if four, &c. QED PROPOSITION XVII. THEOREM. If three straight lines be proportionals, the rectangle contained by the extremes is equal to...conversely, if the rectangle contained by the extremes be equal to the square on the mean, the three straight lines are proportionals. Let the three straight...
Uten tilgangsbegrensning - Om denne boken ## The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...(v. 7.) Wherefore, if four, &c. QED PROP. XVH.— THEOREM. //" Him', straight lines be proportionals, the rectangle contained by the extremes is equal to...conversely, if the rectangle contained by the extremes be equal to the square on the mean, the three straight lines are proportionals. (References— Prop....
Uten tilgangsbegrensning - Om denne boken ## The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 sider
...if four straight lines &c. QED PROPOSITION 17. THEOREM. If three, straight lines be proportionals, the rectangle contained by the extremes is equal to the square on the mean; and if the rectangle contained by the extremes be equal to the square on the mean, the three straight lines...
Uten tilgangsbegrensning - Om denne boken