Elements of Plane GeometryAmerican Book Company, 1901 - 247 σελίδες |
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Αποτελέσματα 1 - 5 από τα 23.
Σελίδα 6
... trapezoid , 561 of triangle , 194 Analysis , 246 Angle , 13 acute , 17 at center of a regular polygon , 716 degree of , 347 inscribed , 354 oblique , 17 obtuse , 17 right , 16 Base , of isosceles triangle , 50 of parallelogram , 561 of ...
... trapezoid , 561 of triangle , 194 Analysis , 246 Angle , 13 acute , 17 at center of a regular polygon , 716 degree of , 347 inscribed , 354 oblique , 17 obtuse , 17 right , 16 Base , of isosceles triangle , 50 of parallelogram , 561 of ...
Σελίδα 8
... Trapezoid , 194 altitude of , 561 bases of , 561 Triangle , 18 altitude of , 194 equiangular , 18 equilateral , 18 isosceles , 18 median of , 173 right - angled , 18 scalene , 18 Variable , 340 Vertex of angle , 13 Vertical angles , 75 ...
... Trapezoid , 194 altitude of , 561 bases of , 561 Triangle , 18 altitude of , 194 equiangular , 18 equilateral , 18 isosceles , 18 median of , 173 right - angled , 18 scalene , 18 Variable , 340 Vertex of angle , 13 Vertical angles , 75 ...
Σελίδα 57
... . DEFINITIONS . A quadrilateral having its opposite sides parallel is called a parallelogram . A quadrilateral with one pair of parallel sides is a trapezoid . A quadrilateral with no two of its sides parallel is BOOK I 57.
... . DEFINITIONS . A quadrilateral having its opposite sides parallel is called a parallelogram . A quadrilateral with one pair of parallel sides is a trapezoid . A quadrilateral with no two of its sides parallel is BOOK I 57.
Σελίδα 65
... trapezoid are equal , the two non - parallel sides are equal . Suggestion . Draw BE and CFL to AD . BECF ( ? ) . Prove & ABE and CDF equal . Whence AB CD . 226. EXERCISE . = B A E F D If the two non - parallel sides of a trapezoid are ...
... trapezoid are equal , the two non - parallel sides are equal . Suggestion . Draw BE and CFL to AD . BECF ( ? ) . Prove & ABE and CDF equal . Whence AB CD . 226. EXERCISE . = B A E F D If the two non - parallel sides of a trapezoid are ...
Σελίδα 71
... trapezoid are equal , the angles adjacent to the other base are also equal . [ § 122. ] 5. In the parallelogram ABCD , AE and CF are drawn perpendicular to the diagonal BD . Prove AE = CF. B E 6. ABC and CBD are two supplementary ...
... trapezoid are equal , the angles adjacent to the other base are also equal . [ § 122. ] 5. In the parallelogram ABCD , AE and CF are drawn perpendicular to the diagonal BD . Prove AE = CF. B E 6. ABC and CBD are two supplementary ...
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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.