Elements of Plane GeometryAmerican Book Company, 1901 - 247 Seiten |
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Seite 8
... externally , 506 divided harmonically , 509 Quadrant , 346 Quadrilateral , 152 Quantities , commensurable , 342 constant , 340 incommensurable , 342 variable , 340 Radius , 20 Ratio , 340 extreme and mean , 551 Rays , of pencil , 512 ...
... externally , 506 divided harmonically , 509 Quadrant , 346 Quadrilateral , 152 Quantities , commensurable , 342 constant , 340 incommensurable , 342 variable , 340 Radius , 20 Ratio , 340 extreme and mean , 551 Rays , of pencil , 512 ...
Seite 94
... . If one circle lies outside of the ос A B other , they are tangent externally ; if one circle is within the other , they are tangent internally . PROPOSITION XIII . THEOREM 307. If a line is perpendicular 94 PLANE GEOMETRY.
... . If one circle lies outside of the ос A B other , they are tangent externally ; if one circle is within the other , they are tangent internally . PROPOSITION XIII . THEOREM 307. If a line is perpendicular 94 PLANE GEOMETRY.
Seite 101
... externally or internally , their centers and the point of tangency are in the same straight line . A m B n Let A and B be the centers of two tangent externally at C. To Prove that A , C , and B are in the same straight line . Draw the ...
... externally or internally , their centers and the point of tangency are in the same straight line . A m B n Let A and B be the centers of two tangent externally at C. To Prove that A , C , and B are in the same straight line . Draw the ...
Seite 102
... are tangent internally ? Tangent externally ? [ In the latter case the student is expected at present to draw only one of the three common tangents . ] PROPOSITION XVII . THEOREM 330. a . If two circles 102 PLANE GEOMETRY radius of, 20.
... are tangent internally ? Tangent externally ? [ In the latter case the student is expected at present to draw only one of the three common tangents . ] PROPOSITION XVII . THEOREM 330. a . If two circles 102 PLANE GEOMETRY radius of, 20.
Seite 103
... externally , the distance between their centers is equal to the sum of their radii . c . If two circles intersect , the distance between their centers is less than the sum and greater than the dif- ference of their radii . d . If two ...
... externally , the distance between their centers is equal to the sum of their radii . c . If two circles intersect , the distance between their centers is less than the sum and greater than the dif- ference of their radii . d . If two ...
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Häufige Begriffe und Wortgruppen
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
Beliebte Passagen
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 72 - The lines joining the middle points of the opposite sides of a quadrilateral bisect each other.
Seite 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.
Seite 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.
Seite 221 - Tangents to a circle at the middle points of the arcs subtended by the sides of a regular inscribed polygon...
Seite 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.
Seite 61 - If the diagonals of a quadrilateral bisect each other, the figure is a parallelogram.