Modern Methods in Elementary GeometryMacmillan, 1868 - 112 σελίδες |
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Σελίδα 23
... PF = PE . GH < GE . Hence AD is the locus of a point equally distant from AB and from AC . If AD be equally distant from AB and AC , the distance being measured by perpendiculars let fall from a point in THE STRAIGHT LINE . 23.
... PF = PE . GH < GE . Hence AD is the locus of a point equally distant from AB and from AC . If AD be equally distant from AB and AC , the distance being measured by perpendiculars let fall from a point in THE STRAIGHT LINE . 23.
Σελίδα 24
... distance being measured along a line perpendicular to AD . For , B GP -D F joining EF , each to each , and EA , AG = FA , AG EAG = FAG ; therefore EAG , FAG are congruent triangles , and EG = GF , Also the angles EGA , FGA are equal ...
... distance being measured along a line perpendicular to AD . For , B GP -D F joining EF , each to each , and EA , AG = FA , AG EAG = FAG ; therefore EAG , FAG are congruent triangles , and EG = GF , Also the angles EGA , FGA are equal ...
Σελίδα 26
... distances of any point on the base of an isosceles triangle from the sides is constant . What is the case if the point be taken on the base produced ? 9. If the opposite sides of a quadrilateral figure be 26 ELEMENTARY GEOMETRY .
... distances of any point on the base of an isosceles triangle from the sides is constant . What is the case if the point be taken on the base produced ? 9. If the opposite sides of a quadrilateral figure be 26 ELEMENTARY GEOMETRY .
Σελίδα 27
... distances upon the sides in order . Join the points thus determined . The figure so formed is a square . 19. If two triangles have two sides of the one equal to two sides of the other , each to each , but the angle included by those ...
... distances upon the sides in order . Join the points thus determined . The figure so formed is a square . 19. If two triangles have two sides of the one equal to two sides of the other , each to each , but the angle included by those ...
Σελίδα 28
... distance from a fixed point . 2. Its distance from a fixed line . 3. The sum of its distances from two fixed lines . 4. The difference of its distances from two fixed lines . 30. If two sides of a triangle be produced , the lines which ...
... distance from a fixed point . 2. Its distance from a fixed line . 3. The sum of its distances from two fixed lines . 4. The difference of its distances from two fixed lines . 30. If two sides of a triangle be produced , the lines which ...
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A'BC Algebra alternate angle altitude angle equal arc CD ARITHMETIC bisect BROOKE FOSS WESTCOTT Cambridge centre circle touching circumference cloth coincide congruent CONIC SECTIONS contain convex angle convex polygon Crown 8vo diagonals diameter dicular divide duplicate ratio Edward Thring ELEMENTARY TREATISE equal angles equally distant equally remote equiangular equiangular and similar equilateral triangle Examples exterior angle Fcap Find the locus GEOMETRY given angle given circle given line given point given straight line greater Hence intersect isosceles John's College late Fellow Let ABCD line drawn MATHEMATICAL measure meet middle point opposite sides parallel to BC parallelogram perpen perpendicular polygon produced quadrilateral figure radius rectangle right angles right-angled triangle Schools Second Edition segments Shew shortest line similar triangles student subtend tangent THEOREM THEOREM VII Third Edition trapezium triangle ABC vertex