Elements of Plane GeometryAmerican Book Company, 1901 - 247 σελίδες |
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Αποτελέσματα 1 - 5 από τα 100.
Σελίδα 4
... Exercises in Modern Geometry . Exercises involving the principles of Modern Geometry are given under their proper propositions . As the omis- sion of these exercises cannot affect the sequence of propositions , they may be disregarded ...
... Exercises in Modern Geometry . Exercises involving the principles of Modern Geometry are given under their proper propositions . As the omis- sion of these exercises cannot affect the sequence of propositions , they may be disregarded ...
Σελίδα 16
... EXERCISE . Prove Prop . I. , using this pair of triangles . A 33. EXERCISE . In the triangle ABC , AB = AC , and AD bisects the angle BAC . Prove that AD also bisects BC . Suggestion . Show by § 30 that the AABD and ADC are equal in all ...
... EXERCISE . Prove Prop . I. , using this pair of triangles . A 33. EXERCISE . In the triangle ABC , AB = AC , and AD bisects the angle BAC . Prove that AD also bisects BC . Suggestion . Show by § 30 that the AABD and ADC are equal in all ...
Σελίδα 18
... EXERCISE . In the △ ABC , BD bisects ZABC and is perpendicular to AC . Prove that BD bisects AC and that AB = BC . 38. EXERCISE . ABC is a △ having △ BAC A = BCA . AD bisects BAC and CE bisects LBCA . Prove AD CE . = A D E B B w B ...
... EXERCISE . In the △ ABC , BD bisects ZABC and is perpendicular to AC . Prove that BD bisects AC and that AB = BC . 38. EXERCISE . ABC is a △ having △ BAC A = BCA . AD bisects BAC and CE bisects LBCA . Prove AD CE . = A D E B B w B ...
Σελίδα 20
... EXERCISE . If two R.A. A have the legs of one equal respectively to the legs of the other , the A are equal in all respects . 45. EXERCISE . A is 40 miles west of B. C is 30 miles north of A , and D is 30 miles south of A. from D to B ...
... EXERCISE . If two R.A. A have the legs of one equal respectively to the legs of the other , the A are equal in all respects . 45. EXERCISE . A is 40 miles west of B. C is 30 miles north of A , and D is 30 miles south of A. from D to B ...
Σελίδα 25
... EXERCISE . Divide a given line into quarters . Q.E.F. 57. EXERCISE . If the radius used for describing the two arcs that intersect at C in the figure of Prop . VI is greater than the radius used for describing the two arcs that ...
... EXERCISE . Divide a given line into quarters . Q.E.F. 57. EXERCISE . If the radius used for describing the two arcs that intersect at C in the figure of Prop . VI is greater than the radius used for describing the two arcs that ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
AABC AB² ABC and DEF AC² adjacent angles altitudes angle formed angles equal apothem arc ABC arcs intercepted BC² bisector chord circles are tangent circum circumference Construct a triangle COROLLARY DEFINITION Describe a circle diagonals diameter divided EFGH equal circles equally distant equiangular polygon equilateral triangle EXERCISE exterior angles figure given angle given circle given line given point homologous homologous sides hypotenuse inscribed angle isosceles triangle joining the middle Let ABC Let To Prove line joining mean proportional medians meet middle points mutually equiangular opposite sides parallelogram passes perimeter perpendicular point of intersection prolonged PROPOSITION Prove ABCD Prove Proof quadrilateral ratio rectangle regular inscribed regular polygon rhombus right angles right-angled triangle SCHOLIUM secants segments Show similar polygons similar triangles straight line tangent THEOREM trapezoid triangle ABC unequal vertex vertical angle Whence ΔΑΒΟ ᎠᏴ
Δημοφιλή αποσπάσματα
Σελίδα 68 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.
Σελίδα 163 - If two chords intersect within a circle, the product of the segments of one is equal to the product of the segments of the other.
Σελίδα 129 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D ; and read, A is to B as C to D.
Σελίδα 120 - If a quadrilateral is circumscribed about a circle, the sum of one pair of opposite sides is equal to the sum of the other pair.
Σελίδα 72 - The lines joining the middle points of the opposite sides of a quadrilateral bisect each other.
Σελίδα 203 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, increased by twice the product of one of these sides and the projection of the other side upon it.
Σελίδα 15 - If two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are equal.
Σελίδα 221 - Tangents to a circle at the middle points of the arcs subtended by the sides of a regular inscribed polygon...
Σελίδα 11 - PERIPHERY of a circle is its entire bounding line ; or it is a curved line, all points of which are equally distant from a point within called the center.
Σελίδα 61 - If the diagonals of a quadrilateral bisect each other, the figure is a parallelogram.