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" Make of one piece of card a hollow octahedron : show how you arrange the surfaces go as to fold together correctly; and give a sketch of the octahedron. 162. Can you divide an angle into four equal angles, without using more than four circles ? 163. In... "
Inventional Geometry: A Series of Problems, Intended to Familiarize the ... - Página 47
por William George Spencer - 1877 - 97 páginas
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Elementary Geometry, Volumen2

James Maurice Wilson - 1868 - 150 páginas
...will meet or touch or not meet one another. SECTION IV. PROBLEMS. PROBLEM 1. Given an arc of a circle, to find, the centre of the circle of which it is an arc. Let ABC be the arc. Construction, Draw .any two chords AB, BC, and bisect them at right angles by straight...
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Euclidian Geometry

Francis Cuthbertson - 1874 - 400 páginas
...DEFINITION. An arc of a circle is a part of the circumference. PROBLEM A. An arc of a circle being given, to find the centre of the circle of which it is an arc. Take any three points P, Q, R in the given arc. Join PQ, QR: bisect PQ in H and QR in K. Through H,...
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Inventional Geometry: A Series of Problems, Intended to Familiarize the ...

William George Spencer - 1876 - 118 páginas
...octahedron. 162. Can you divide an angle into four equal angles, without using more than four circles f 163. In how many ways can you divide an equilateral...which it is an arc. 165. Can you make a symmetrical trapezoidJ 166. Can yon make a symmetrical trapezium! 167. Is it possible to make a rhomboid with out...
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Inventional Geometry: A Series of Problems : Intended to Familiarize the ...

William George Spencer - 1876 - 118 páginas
...octahedron. 161. Make of one piece of card a hollow octahedron : show how you arrange the surfaces go as to fold together correctly; and give a sketch of...make a symmetrical trapezium? 167. Is it possible to mnke a rhomboid without using more than one circle ? 168. Is it possible to make a symmetrical trapezium,...
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Euclid's Elements of Geometry, Libros 1-6

Henry Martyn Taylor - 1893 - 486 páginas
...PROPOSITION 25. To find the centre of the circle, of which a given arc is a part. Let ABC be a given arc : it is required to find the centre of the circle, of which the arc ABC is a part. CONSTRUCTION. Draw AC, and bisect it at I). (I. Prop. 10.) At D draw DB at right...
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Euclid's Elements of Geometry, Libros 1-6;Libro 11

Henry Martyn Taylor - 1895 - 708 páginas
...PROPOSITION 25. To find the centre of the circle, of which a given arc is a part. Let ABC be a given arc : it is required to find the centre of the circle, of which the arc ABC is a part. CONSTRUCTION. Draw AC, and bisect it at D. (I. Prop. 10.) At D draw DB at right...
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Elementary Practical Mathematics

Frank Castle - 1899 - 424 páginas
...found to be 3^ times the diameter. Length of a Circular Arc.— Let ABC (Fig. 122) be a circular arc, it is required to find the centre of the circle of which ABC is a portion. With A and B as centres and any convenient radius, describe PM Q FIo. 122. — Circular...
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Workshop Mathematics, Parte2

Frank Castle - 1900 - 200 páginas
...Length of a Circular Arc.— Let ABC (Fig. 5) be a circular Fig. 5.— Length of a circular arc. arc, it is required to find the centre of the circle of which ABC is a portion. With A and В as centres and any convenient radius, describe intersecting arcs as...
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The Elements of Plane Geometry

Association for the Improvement of Geometrical Teaching - 1903 - 342 páginas
...PROB. 2. To find the centre of a given circle, or of a givep arc, Let ABC be the given circumference or arc of a circle : it is required to find the centre of the circle. Take any two chords AB, CD, which are not parallel. Bisect AB and CD at right angles by. the straight...
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