Books Books 1 - 10 of 49 on AB be equal to the given bisecting line ; and upon it describe a segment of a circle.... AB be equal to the given bisecting line ; and upon it describe a segment of a circle containing an angle equal to the given angle. Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ... - Page 299
by Miles Bland - 1819 - 377 pages ## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Euclid's Elements - 1806 - 518 pages
...is, *he given ratio of AD to BC, must be less than the ratio of GH to EF, which the straight line, in a segment of a circle containing an angle equal to the given angle, that bisects the base of the segment at right angles, has unto the base. Con. 1. If two triangles,... ## Geometrical Problems Deducible from the First Six Books of Euclid: Arranged ...

Miles Bland - Geometry - 1819 - 377 pages
...opposite to it, and the sum of the other two sides ; to construct the triangle. Let AB be the given side. Upon it describe a segment of a circle containing an angle equal to half the given angle ; and from A draw AC equal to the given sum of the two sides ; join EC-, and make... ## Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Geometry - 1821 - 438 pages
...one of the angles at the base, and the other angle at the base ; to construct the triangle. Let AB he equal to the given bisecting line ; and upon it describe...GDH parallel to AB. In FB produced take BI equal to EH. Join AI; A FI is the triangle required. Join IG, cutting AB in K. Because GHis parallel to AB,... ## Geometrical analysis, and geometry of curve lines: being volume second of a ...

Sir John Leslie - Curves - 1821 - 448 pages
...D(V and COc are likewise given. COMPOSITION. Draw any diameter KO, on which describe (III. 23. El.) a segment of a circle containing an angle equal to the given inclination of the conjugate diameters, and meeting the curve in a point G, join GE, G?, and parallel... ## Geometrical Problems Deducible from the First Six Books of Euclid: Arranged ...

Miles Bland - Geometry - 1827 - 377 pages
...the given vertical angle. (15.) Given the line bisecting the vertical angle, the perpendicular dravm to it from one of the angles at the base, and the...ED, and produce it to F; join FA, FB ; and through A draw GDH parallel to AB. In FB produced take BI equal to BH. Join AI; API is the triangle required.... ## The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 513 pages
...the given ratio of AD to BC, must be less \ than the ratio of GH to KF, which the straight line in a segment of a circle containing an angle equal to the given angle, that bisects the base of the segment at right angles, has unto the base. COR. 1. If two triangles,... ## An Analytical System of Conic Sections: Designed for the Use of Students

Henry Parr Hamilton - Conic sections - 1834 - 207 pages
...possible. The same problem admits of the following geometrical solution. Draw any diameter whatever Rr, and upon it describe a segment of a circle, containing an angle equal to the given angle, and cutting the ellipse in Q ; draw Qr, QR, and, parallel to these, the diameters Pp, Dd; these will... ## An Analytical System of Conic Sections: Designed for the Use of Students

Henry Parr Hamilton - Conic sections - 1834 - 207 pages
...proceed to give the geometrical construction. Draw any diameter Rr, meeting the hyperbola in R, r, and upon it describe a segment of a circle containing an angle equal to the given angle, and cutting the hyperbola in Q, draw QR, Qr, and, parallel to these, the semi-diameters CP, CD; these... ## Iron: An Illustrated Weekly Journal for Iron and Steel ..., Volume 20

...right angles, these two lines shall meet, if they are produced on the side of R and S. Take a line M'N' and upon it describe a segment of a circle containing an angle — RMO, the deficiency of SNM and RMN together from two right angles. In this segment draw the line... 