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" ... exterior of two concentric circles, two straight lines be drawn touching the interior and meeting the exterior ; the distance between the points of contact will be half that between the points of intersection. "
The solution of geometrical exercises, explained and illustrated; with a ... - Side 24
av Charles Mansford - 1879
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 sider
...intersection. 100. Shew that all equal straight lines in a circle will be touched by another circle. 101. Through a given point draw a straight line so that the part intercepted by the circumference of a circle, shall be equal to a given straight line not greater than...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 sider
...intersection. 100. Shew that all equal straight lines in a circle will be touched by another circle. 101. Through a given point draw a straight line so that the part intercepted by the circumference of a circle, shall be equal to a given straight line not greater than...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 sider
...intersection. 100. Shew that all equal straight lines in a circle will be touched by another circle. 101. Through a given point draw a straight line so that the part intercepted by the circumference of a circle, shall be equal to a given straight line not greater than...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 sider
...the distance between the points of contact will be half that between the points of intersection. 137. Through a given point draw a straight line so that the part intercepted by the circumference of a circle, shall be equal to a given straight line not greater than...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 sider
...same centre: shew that all chords of the outer circle which touch the inner circle are equal. 181. Through a given point draw a straight line so that the part intercepted by the circumference of a given circle shall be equal to a given straight line not greater...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 sider
...intersection. 100. Shew that all equal straight lines in a circle will be touched by another circle. 101. Through a given point draw a straight line so that the part intercepted by the circumference of a circle, shall be equal to a given straight line not greater than...
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The Elements of Plane and Solid Geometry

Henry William Watson - 1871 - 320 sider
...triangle. 5. In a given triangle inscribe the least possible triangle similar to a given triangle. 6. Through a given point draw a straight line so that the part of it cut off by a given circle may be divided at that point in a given ratio. 7. Divide a given arc of a...
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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874 - 120 sider
...point. 36. If the sides of any hexagon be produced to meet the angles formed by their intersection will be together equal to four right angles. 37. The...trapezium having the side AB parallel to CD. Through 0 the middle point of BC, PQ is drawn parallel to AD meeting AB and DC (produced if necessary) in P...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 sider
...intersection. 100. Shew that all equal straight lines in a circle will be touched by another circle. 101. Through a given point draw a straight line so that the part intercepted by the circumference of a circle, shall be equal to a given straight line not greater than...
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Elements of Geometry with Exercises for Students: An an Introduction to ...

Aaron Schuyler - 1876 - 384 sider
...15. To construct a triangle, given the base, the medial line to the base, and the vertical angle. 16. Through a given point draw a straight line so that the part intercepted by a given circumference shall be equal to a given straight line. V. INSCRIBED AND CIRCUMSCRIBED...
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