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" Wherefore, if the ratios &c. EXERCISES. 1. Shew that the locus of the middle points of straight lines parallel to the base of a triangle and terminated by its sides is a straight line. 2. CAB, CEB are two triangles having the angle B common and the sides... "
Proceedings of the Edinburgh Mathematical Society - Page 14
by Edinburgh Mathematical Society - 1894
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...the rectangle AD, DB and to the rectangle AE, EB. 606. Shew that the locus of the middle points of straight lines parallel to the base of a triangle and terminated by its sides is a straight line. 607. A parallelogram is inscribed in a triangle, haying one side on the...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 400 pages
...the rectangle AD, DB and to the rectangle AE, EB. 606. Shew that the locus of the middle points of straight lines parallel to the base of a triangle and terminated by its sides is a straight line. 607. A parallelogram is inscribed in a triangle, having' one side on...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 426 pages
...intersection shall also lie in the circumference of a circle. 606. Shew that the locus of the middle points of straight lines parallel to the base of a triangle and terminated by its sides is a straight line. 607. A parallelogram is inscribed in a triangle, having one side on the...
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 pages
...attributed sometimes to D'Alembert, 1716-1783, sometimes to Monge.) LocI. 1. Straight lines are drawn parallel to the base of a triangle and terminated by the other sides or the other sides produced ; find the locus of their middle points. 2. Straight lines are drawn from...
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Euclid's Elements of Geometry, Books 1-6

Henry Martyn Taylor - 1893 - 504 pages
...(I. Prop. 32.) Wherefore, if the ratios &c. EXERCISES. 1. Shew that the locus of the middle points of straight lines parallel to the base of a triangle and terminated by its sides is a straight line. 2. CAB, CEB are two triangles having the angle B common and the sides...
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Euclid's Elements of Geometry, Books 1-6; Book 11

Henry Martyn Taylor - Euclid's Elements - 1895 - 706 pages
...Prop. 32.) Wherefore, if tlie ratios &c. EXERCISES. 1. Shew that the locus of the middle points of straight lines parallel to the base of a triangle and terminated by its sides is a straight line. 2. CAB, CEB are two triangles having the angle B common and the sides...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...point equidistant from a pair of parallel lines. (e) The locus of the mid-points of all lines that are parallel to the base of a triangle and terminated by the other sides. (/) The locus of a point equidistant from two given lines. (g) The locus of the end of a line tangent...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...a given circle and parallel to a given line. (e) The locus of the mid-points of all lines that are parallel to the base of a triangle and terminated by the other sides. (/) The locus of a point equidistant from two given lines. (g) The locus of the end of a line tangent...
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Plane Geometry: With Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1918 - 360 pages
...sides of the angle which shall be bisected by P. 2. Construct a segment, equal to a given segment a, parallel to the base of a triangle and terminated by the other two sides of the triangle. 3. Through a given point within a circle construct a chord equal in length...
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Plane Geometry, with Problems and Application

Herbert Ellsworth Slaught - 1918 - 332 pages
...sides of the angle which shall be bisected by P. 2. Construct a segment, equal to a given segment a, parallel to the base of a triangle and terminated by the other two sides of the triangle. AD 3. Through a given point within a circle construct a chord equal in length...
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