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" The third side is called the base of the isosceles triangle, and the equal sides are called the sides. A triangle which has no two sides equal is called a scalene triangle. The distance from one point to another is the length of the straight line-segment... "
Plane and Solid Geometry - Page 24
by Wooster Woodruff Beman, David Eugene Smith - 1895 - 320 pages
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Plane and Solid Geometry: Suggestive Method

Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 524 pages
...compare iu length with A Bl Prop. XXXII. Sue. 3. Compare your answer with the hypothesis. Therefore 109. The distance from a point to a line is the length of the perpendicular from the point to the line. Ex. 61. Lines which are perpendicular to parallel lines are parallel. Ex. 62....
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Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 344 pages
...the figure. Then suppose m to bisect Z ba. 2. Then '.- a = b, Given 4. and m = m, 5. .'. AAMC = ABMC, (State th. 1.) 6. and ZA = ZB, by def. of congruence....this perpendicular is unique will be proved later. 24 Theorem 4. If two angles of a triangle are equal, the sides opposite those angles are equal. Given...
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New Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 416 pages
...equilateral, it is also equiangular. For by the theorem the angles opposite the equal sides are equal. 67. Definitions. The line from any vertex of a triangle...surface), distance may be measured on a curved line. 68. In the figure of prop. III, A AMC ^ A BMC, as proved. .-.AM=MB, and Z CMA = Z BMC, and hence each...
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New Plane Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry, Modern - 1899 - 265 pages
...of the opposite side is called the median to that side. In the above figure, CM is the median to AB. The third side is called the base of the isosceles...surface), distance may be measured on a curved line. 68. In the figure of prop. III, A AMC ^ A BMC, as proved. .\AM = MB, and Z CMA = Z.BMC, and hence each...
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New Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 400 pages
...of the opposite side is called the median to that side. In the above figure, CM is the median to AB. The third side is called the base of the isosceles...surface), distance may be measured on a curved line. 68. In the figure of prop. III, A AMC ^ A BMC, as proved. .'. AM= MB, and Z CMA = Z BMC, and hence...
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New Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 412 pages
...sides, it is called an isosceles triangle. The third side is called the base of the isosceles trianr/le, and the equal sides are called the sides. A triangle...surface), distance may be measured on a curved line. 68. In the figure of prop. III, A AM C ^ A BM C, as proved. .'. AM= MB, and Z CM A = Z BMC, and hence...
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New Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1900 - 395 pages
...base of the isosceles triangle, and the equal sides are called the sides. A triangle which has 110 two sides equal is called a scalene triangle. The...surface), distance may be measured on a curved line. 68. In the figure of prop. Ill, A AMC ^ A BMC, as proved. . .'.AM=M13, and Z CMA = Z BMC, and hence...
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Plane Geometry

Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...to PXat its mid- A point (Const.). .-.PC=cx (66). .-.PR+ PR < PC+PC (Ax. 6). That is, 2PR < 2PC. 78. The distance from a point to a line is the length of the perpendicular from the point to the line. Thus " distance from a line " involves the perpendicular. If the perpendiculars...
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Plane and Solid Geometry

Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...its mid- * point (Const.). .'. PC=Cx (66). .'. PR+ PR < PC+PC (Ax. 6). That is, 2 PR < 2 PC. \ 78. The distance from a point to a line is the length of the perpendicular from the point to the line. Thus " distance from a line " involves the perpendicular. If the perpendiculars...
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First-year Mathematics for Secondary Schools

George William Myers - Mathematics - 1909 - 390 pages
...triangle. In problem 5, where does the center of the circle lie with respect to the triangle ? 294. The distance from a point to a line is the length of the perpendicular from the point to the line. The symbol _I_ stands for "perpendicular," "perpendicular to," or "is perpendicular...
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