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" The lines drawn from the extremities of the base of an isosceles triangle to the middle points of the opposite sides are equal. "
The Elements of Plane Geometry ... - Page 26
by Association for the improvement of geometrical teaching - 1884
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Euclid, book i., propositions i. to xxvi., with exercises and alternative ...

Euclides - 1877 - 58 pages
...to AF, then GEis equal to GF. 5. The straight lines drawn from the angular points of an equilateral triangle to the middle points of the opposite sides are equal to each other. PROPOSITION VI. THEOREM. If the angles at the base of a triangle be equal to each other,...
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The elements of plane geometry, Volume 1

Mathematical association - 1884 - 146 pages
...of the one equal to two sides of the other, each to each, and have likewise the angles included by these sides equal, then the triangles are identically...that AB is equal to AC, and AD to AE : shew that BE THKOE. 6. If tiro triangles have two angles of the one equal to two angles of the other, each to each,...
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The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884 - 214 pages
...the opposite sides, are equal, the triangle is isosceles. Prove the converse of this theorem. (190) The straight lines drawn from the extremities of the base of an isosceles triangle to make equal angles with the opposite sides, are equal. Prove the converse of this theorem. (191) Construct...
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The Elements of Geometry

Webster Wells - Geometry - 1886 - 392 pages
...an isosceles triangle to the middle points of the opposite sides are equal. 10. The perpendiculars from the extremities of the base of an isosceles triangle to the opposite sides are equal. PROPOSITION XXX. THEOREM. 98. Any point in the bisector of an angle is equally...
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet, William Elwood Byerly - Geometry - 1887 - 342 pages
...any point except the intersection of the diagonals, is greater than the sum of the diagonals. 4. The lines drawn from the extremities of the base of an...the middle points of the opposite sides are equal. 5. The perpendiculars from the extremities of the base of an isosceles triangle upon the opposite sides...
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...any point except the intersection of the diagonals, is greater than the sum of the diagonals. 4. The lines drawn from the extremities of the base of an...the middle points of the opposite sides are equal. 5. The perpendiculars from the extremities of the base of an isosceles triangle upon the opposite sides...
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Plane and Solid Geometry

Seth Thayer Stewart - Geometry - 1891 - 426 pages
...joins their intersection with the vertical angle bisects the vertical angle. 13. The perpendiculars from the extremities of the base of an isosceles triangle to the opposite sides are equal. 14. If the perpendiculars from two angles of a triangle to the opposite sides...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1892 - 460 pages
...and Y , shew that the triangles YBC, XCB are equal in all respects. 2. Shew that the perpendiculars drawn from the extremities of the base of an isosceles triangle to the opposite sides are equal. 3. Any point on the bisector of an angle is equidistant fruin the arms of...
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Elementary Geometry

William Chauvenet - 1893 - 340 pages
...any point except the intersection of the diagonals, is greater than the sum of the diagonals. 4. The lines drawn from the extremities of the base of an...the middle points of the opposite sides are equal. 5. The perpendiculars from the extremities of the base of an isosceles triangle upon the opposite sides...
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Exercises in Stewart's Plane and Solid Geometry: With Solutions for Teachers

Seth Thayer Stewart - Geometry - 1893 - 262 pages
...equal (P. III.) ; and the parts of the vertical ¿ are, thus, proved equal. i3. The perpendiculars from the extremities of the base of an isosceles triangle to the opposite sides are equal. The new Дs formed with the base are equal. (P. v.) I4. If the perpendiculars...
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