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" To describe an isosceles triangle having each of the angles at the base double of the third angle. "
Elements of Geometry - Σελίδα 116
των George Albert Wentworth - 1881
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...BDA, DBA is double of the angle DAB. Wherefore an isosceles triangle ABD has been described, having each of the angles at the base double of the third angle. QEF PROPOSITION XI. PROBLEM. To inscribe an equilateral and equiangular pentagon in a given circle....

Papers Read at the Royal Institute of British Architects

1865
...given rectilineal angle. Book IV. Proposition 10. Problem. To describe an isosceles triangle having each of the angles at the base double of the third angle. Book VI. Proposition 2. Theorem. If a straight line be drawn parallel to one of the sides of a triangle,...

The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...described about the square ABCB. Q. E, F. PROP. X. — PROBLEM. To describe an isosceles triangle, having each of the angles at the base double of the third angle. (References — Prop. I. 5, 6, 32 ; n. 11 ; m. s2, 37 ; rv. 1, 5.) CONSTRUCTION Take any straight line...

A Collection of Elementary Test Questions in Pure and Mixed Mathematics with ...

James Robert Christie - 1866 - 404 σελίδες
...section be joined; the triangles so formed will be similar to one another. 653. If through the angles of an isosceles triangle which has each of the angles...circle, straight lines be drawn touching the circle, an isosceles triangle will be formed which has each of the angles at the base one-third of the angle...

Treatise on Mathematical Instruments: Their Construction, Adjustment ...

John Fry Heather - 1866 - 185 σελίδες
...making and recording observations, 151 ; use of the portable transit, 153. Triangle, isosceles, having each of the angles at the base double of the third angle, constructed, 40; right-angled, solved, 31. Ti-oughton, his level, 104; his reflecting circle, 141....

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 σελίδες
...that the given straight line must not exceed twice AE. 43. To describe an isosceles triangle having each of the angles at the base double of the third angle. This problem is solved in IV. 10 ; we may suppose the solution to have been discovered by such an analysis...

Mathematical Exercises ...

Samuel H. Winter - 1867
...value of x to two decimal places when i 10x =2-45. 15. Find the area of an isosceles triangle, having each of the angles at the base double of the third angle, one of the equal sides being 12 feet. XV. (a.) 1. How many times is £2 15s. 6d. contained in £152...

Modern Methods in Elementary Geometry by E. M. Reynolds

Edward Morris Reynolds - 1868 - 136 σελίδες
...required point on AB. The proof from m. 11 and III. 12. 8. To construct an isosceles triangle having each of the angles at the base double of the third angle. Take any straight line AB, and divide it so that AB.BC = With centre A and distance AB describe a circle,...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 σελίδες
...BDA, DBA is double of the angle DAB. AVherefore an isosceles triangle ABD has been described, having each of the angles at the base double of the third angle. QEF PROPOSITION XI. PROBLEM. To inscribe an equilateral and equiangular pentagon in a given circle,...

Elements of geometry, with ... trigonometry

André Darré - 1872
...: AK = AD (78, Cor. i.). BD is said to be cut internally in F, and externally in H. THEOREM. 88. In an isosceles triangle which has each of the angles at the base double of the angle at the vertex, a line bisecting either of the angles at the base divides the opposite side into...




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