Plane GeometryH. Holt, 1915 - 223 sider |
Inni boken
Resultat 1-5 av 45
Side 1
... pass through the given points , the edge of the ruler is straight . This test depends on the following funda- mental properties of a straight line and plane . FIG . 2 . FIG . 1 . 1 3. FUNDAMENTAL PROPOSITION . Through any two distinct ...
... pass through the given points , the edge of the ruler is straight . This test depends on the following funda- mental properties of a straight line and plane . FIG . 2 . FIG . 1 . 1 3. FUNDAMENTAL PROPOSITION . Through any two distinct ...
Side 2
... passing through the two points A and B. 5. If a line CD has two points in common with a line AB , it coin- cides with AB . For by § 3 AB and CD are the same line . 6. Two distinct straight lines cannot have more than one point in For if ...
... passing through the two points A and B. 5. If a line CD has two points in common with a line AB , it coin- cides with AB . For by § 3 AB and CD are the same line . 6. Two distinct straight lines cannot have more than one point in For if ...
Side 5
... passes through the center of the circle it is called a diameter . The extremities of any diameter divide the circle into two parts each of which is called a semicircle . 24. All radii , and all diameters , of a circle are respectively ...
... passes through the center of the circle it is called a diameter . The extremities of any diameter divide the circle into two parts each of which is called a semicircle . 24. All radii , and all diameters , of a circle are respectively ...
Side 6
... passing through any point inside the circle cuts the circle in two , and only two , distinct points . II . If two circles intersect in a point which is not on the line joining their centers , they intersect in a second point , and no ...
... passing through any point inside the circle cuts the circle in two , and only two , distinct points . II . If two circles intersect in a point which is not on the line joining their centers , they intersect in a second point , and no ...
Side 7
... passing through two given points P and Q. Discussion . 8. The following figures represent the geometric bases of three types of arches used in architecture called , respectively , the equilateral arch , the seg- mental arch , and the ...
... passing through two given points P and Q. Discussion . 8. The following figures represent the geometric bases of three types of arches used in architecture called , respectively , the equilateral arch , the seg- mental arch , and the ...
Andre utgaver - Vis alle
Plane Geometry (Classic Reprint) Chair of International History John W Young,John W. Young Ingen forhåndsvisning tilgjengelig - 2018 |
Vanlige uttrykk og setninger
acute angle adjacent angles adjacent sides altitude angle ABC angles formed base bisects called central angles chord circle with center circumscribed coincides construct a triangle convex polygon COROLLARY corresponding cosine describe a circle diagonal diameter distance divide Draw equal angles equal sides equiangular polygon equilateral triangle EXERCISES exterior angle exterior tangents feet Find the area FUNDAMENTAL PROPOSITION geometry given circle given line segment given point given straight line given triangle hypotenuse inches included angle inscribed intersecting isosceles trapezoid isosceles triangle Let the student mid-point number of sides opposite sides parallel lines parallelogram perimeter plane PROBLEM quadrilateral radian radii radius ratio rectangle regular polygon rhombus right angle right triangle rotate segment joining subtended symmetric with respect tangent THEOREM third side transversal trapezoid triangle ABC triangle are equal vertex vertices
Populære avsnitt
Side 203 - In any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides and the cosine of their included angle.
Side 66 - Two triangles are congruent if two sides and the included angle of the one are equal, respectively, to two sides and the included angle of the other.
Side 63 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Side 184 - If from a point without a circle a secant and a tangent are drawn, the tangent is the mean proportional between the whole secant and its external segment.
Side 80 - ... the angle opposite the third side of the first triangle is greater than the angle opposite the third side of the second.
Side 162 - The line which joins the mid-points of two sides of a triangle is parallel to the third side and equal to one half of it.
Side 168 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. D c A' D' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove AABC = ABxAC. A A'B'C' A'B'xA'C' Proof. Draw the altitudes BD and B'D'.
Side 179 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Side 183 - If two chords intersect in a circle, the product of the segments of one is equal to the product of the segments of the other.