The Synoptical Euclid; Being the First Four Books of Euclid's Elements of Geometry from the Edition of Dr. Robert Simson ... With Exercises. By S. A. Good ... Second EditionCharles Henry Law, 1854 - 120 σελίδες |
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Σελίδα 111
... pentagon in a given circle . Let ABCDE be the given circle ; it is required to inscribe an equi- lateral and equiangular pentagon in the circle ABCDE . Describe ( IV . 10. ) an isosceles triangle FGH , having each of the angles at G , H ...
... pentagon in a given circle . Let ABCDE be the given circle ; it is required to inscribe an equi- lateral and equiangular pentagon in the circle ABCDE . Describe ( IV . 10. ) an isosceles triangle FGH , having each of the angles at G , H ...
Σελίδα 112
... pentagon ABCDE is equiangular ; and it has been shown that it is equilateral . Wherefore , in the given circle , an equilateral and equiangular pentagon has been inscribed . Q.E.F. PROP . XII . - PROBLEM . To describe an equilateral and ...
... pentagon ABCDE is equiangular ; and it has been shown that it is equilateral . Wherefore , in the given circle , an equilateral and equiangular pentagon has been inscribed . Q.E.F. PROP . XII . - PROBLEM . To describe an equilateral and ...
Σελίδα 114
... pentagon GHKLM is equiangular : and it is equilateral , as was demonstrated ; and it is described about the circle ABCDE . Q.E.F. PROP . XIII . - PROBLEM . To inscribe a circle in a given equilateral and equiangular pentagon . Let ABCDE ...
... pentagon GHKLM is equiangular : and it is equilateral , as was demonstrated ; and it is described about the circle ABCDE . Q.E.F. PROP . XIII . - PROBLEM . To inscribe a circle in a given equilateral and equiangular pentagon . Let ABCDE ...
Σελίδα 115
... pentagon ABCDE . Q.E.F. PROP . XIV . - PROBLEM . To describe a circle about a given equilateral and equiangular pentagon . Let ABCDE be the given equilateral and equiangular pentagon ; it is required to describe a circle about it ...
... pentagon ABCDE . Q.E.F. PROP . XIV . - PROBLEM . To describe a circle about a given equilateral and equiangular pentagon . Let ABCDE be the given equilateral and equiangular pentagon ; it is required to describe a circle about it ...
Σελίδα 116
... pentagon ABCDE . PROP . XV . - PROBLEM . Q.E.F. To inscribe an equilateral and equiangular hexagon in a given circle . Let ABCDEF be the given circle ; it is required to inscribe an equi- lateral and equiangular hexagon in it . Find ( I ...
... pentagon ABCDE . PROP . XV . - PROBLEM . Q.E.F. To inscribe an equilateral and equiangular hexagon in a given circle . Let ABCDEF be the given circle ; it is required to inscribe an equi- lateral and equiangular hexagon in it . Find ( I ...
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AB is equal AC is equal adjacent angles angle ABC angle ACB angle AGH angle BAC angle BCD angle EDF angle equal base BC bisected circle ABC circumference diameter double draw equal angles equal Constr equal Hyp equal straight lines equal to BC equilateral and equiangular EUCLID'S ELEMENTS exterior angle given circle given point given rectilineal angle given straight line given triangle gnomon greater inscribed interior and opposite less Let ABC Let the straight likewise opposite angles parallel to CD parallelogram pentagon perpendicular point F produced Q.E.D. PROP rectangle AE rectangle contained remaining angle required to describe right angles semicircle side BC square of AC straight line AB straight line AC straight line drawn touches the circle triangle ABC twice the rectangle