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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... "
New Plane and Solid Geometry - Page 29
by Wooster Woodruff Beman, David Eugene Smith - 1899 - 382 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 - 346 pages
...equilateral it is also equiangular. For by the theorem the angles opposite the equal sides are equal. DEFINITIONS. The line from any vertex of a triangle...surface), distance may be measured on a curved line. Theorem 4. If two angles of a triangle are equal, the sides opposite those angles are equal. Given...
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Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 344 pages
...equilateral it is also equiangular. For by the theorem the angles opposite the equal sides are equal. DEFINITIONS. The line from any vertex of a triangle...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 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...the figure of prop. III, A AMC ^ A BMC, as proved. .\AM = MB, and Z CMA = Z.BMC, and hence each is a right angle. In cases of this kind the points A and...
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New Plane Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry, Modern - 1899 - 272 pages
...the opposite side is called the median to that side. i In the above figure, CM is the median to AB. The third side is .called the base of the isosceles...on a curved line. 68. In the figure of prop. III, A A MC ^ A BMC, as proved. .-.AM = MB, and Z CMA = ZBMC, and hence each is a right angle. In cases...
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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, William Rockwell Wickes, Ernst Rudolph Breslich, Ernest Leroy Caldwell, Harris Franklin MacNeish, Ernest August Wreidt - 1909 - 388 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 J. stands for "perpendicular," "perpendicular to," or "is perpendicular...
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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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Plane Geometry

William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 pages
...Method. 235. The distance between two points is the length of the line-segment joining them. § 228 236. The distance from a point to a line is the length of the perpendicular let fall from that point upon the line. § 227 237. The distance between two parallel lines is the...
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