Elementary Geometry: Practical and TheoreticalUniversity Press, 1903 - 355 sider |
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Resultat 1-5 av 44
Side x
... Circumference of Circle 231 IV . The Tangent 238 V. Contact of Circles 245 Construction of Circles to satisfy given conditions 247 VI . Angle properties 250 SECTION PAGE VII . Construction of Tangents 261 Common Tangents X CONTENTS.
... Circumference of Circle 231 IV . The Tangent 238 V. Contact of Circles 245 Construction of Circles to satisfy given conditions 247 VI . Angle properties 250 SECTION PAGE VII . Construction of Tangents 261 Common Tangents X CONTENTS.
Side xi
... Common Tangents 263 VIII . Constructions depending on Angle properties 268 IX . " Alternate Segment " 272 Tangent as limit of Chord 276 Miscellaneous exercises on Sections VI . , VIII . and IX . 277 X. Arcs and Angles at the ...
... Common Tangents 263 VIII . Constructions depending on Angle properties 268 IX . " Alternate Segment " 272 Tangent as limit of Chord 276 Miscellaneous exercises on Sections VI . , VIII . and IX . 277 X. Arcs and Angles at the ...
Side 58
... common , they must coincide . ( iv ) One straight line , and one only , can be drawn through two given points . Two points determine a straight line . A surface which is such that the straight line joining every pair of points in it ...
... common , they must coincide . ( iv ) One straight line , and one only , can be drawn through two given points . Two points determine a straight line . A surface which is such that the straight line joining every pair of points in it ...
Side 88
... common to the two triangles . ] Ex . 416. The bisector of the angle between the equal sides of an isosceles triangle is perpendicular to the base . Y W Z fig . 103 . [ Let XYZ be an isosceles triangle , having XYXZ ; let XW bisect ZYXZ ...
... common to the two triangles . ] Ex . 416. The bisector of the angle between the equal sides of an isosceles triangle is perpendicular to the base . Y W Z fig . 103 . [ Let XYZ be an isosceles triangle , having XYXZ ; let XW bisect ZYXZ ...
Side 93
... common , L BAD = CAD ( included △ s ) , Constr . I. 10 . Q. E. D. .. AABDA ACD , .. LB = LC . The phrase " the sides " of an isosceles triangle is often used to mean the equal sides , " the base " to mean the other side , " the vertex ...
... common , L BAD = CAD ( included △ s ) , Constr . I. 10 . Q. E. D. .. AABDA ACD , .. LB = LC . The phrase " the sides " of an isosceles triangle is often used to mean the equal sides , " the base " to mean the other side , " the vertex ...
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Vanlige uttrykk og setninger
AABC altitude base BC bisects Calculate centimetres centre chord circle of radius circumcentre circumcircle circumference circumscribed common tangent concyclic Constr Construct a triangle Construction Proof cyclic quadrilateral Data diagonal diameter distance divided Draw a circle Draw a straight equal circles equiangular equidistant equilateral triangle equivalent find a point Find the area fixed point Give a proof given circle given line given point given straight line hypotenuse inch paper inscribed intersect isosceles trapezium isosceles triangle LAOB LAPB locus of points Measure mid-point miles opposite sides parallelogram Plot the locus polygon produced protractor Q. E. D. Ex quadrilateral ABCD radii rect rectangle rectangle contained reflex angle Repeat Ex rhombus right angles right-angled triangle segment set square similar triangles subtends tangent THEOREM trapezium triangle ABC units of length vertex vertical angle
Populære avsnitt
Side 88 - If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.
Side 269 - To describe an isosceles triangle, having each of the angles at the base double of the third angle.
Side 206 - If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part.
Side 342 - Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides.
Side 270 - If a straight line touch a circle, and from the point of contact a chord be drawn, the angles which this chord makes with the tangent are equal to the angles in the alternate segments.
Side 186 - This sub-division shows that the square on the hypotenuse of the above right-angled triangle is equal to the sum of the squares on the sides containing the right angle.
Side 206 - If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
Side 136 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line.
Side 214 - A point moves so that the sum of the squares of its distances from the points (0, 0), (1, 0) is constant.
Side 123 - The difference between any two sides of a triangle is less than the third side.