Elementary Geometry: Practical and TheoreticalUniversity Press, 1903 - 355 Seiten |
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Seite 66
... bisectors of the two adjacent angles so formed are at right angles to one another . Ex . 325 , 326. ) Ex . 328. Prove the corollary to Theorem 1. See Ex . 59-62 . DEF . When the sum of two angles is equal to two right angles , each is ...
... bisectors of the two adjacent angles so formed are at right angles to one another . Ex . 325 , 326. ) Ex . 328. Prove the corollary to Theorem 1. See Ex . 59-62 . DEF . When the sum of two angles is equal to two right angles , each is ...
Seite 70
... bisectors of a pair of vertically opposite angles are in one and the same straight line . PARALLEL STRAIGHT LINES . DEF . Parallel straight lines are straight lines in the same plane , which do not meet however far they are produced in ...
... bisectors of a pair of vertically opposite angles are in one and the same straight line . PARALLEL STRAIGHT LINES . DEF . Parallel straight lines are straight lines in the same plane , which do not meet however far they are produced in ...
Seite 88
... 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 XY = XZ ; let XW bisect YXZ and let it meet YZ at W ; prove LXWY = LXWZ ...
... 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 XY = XZ ; let XW bisect YXZ and let it meet YZ at W ; prove LXWY = LXWZ ...
Seite 91
... bisector of an angle of a triangle cuts the opposite side at right angles , the triangle must be isosceles . [ Let XYZ be a triangle ; and let XW , the bisector of LX , cut YZ at right angles at W ; prove that XY = XZ . See fig . 103 ...
... bisector of an angle of a triangle cuts the opposite side at right angles , the triangle must be isosceles . [ Let XYZ be a triangle ; and let XW , the bisector of LX , cut YZ at right angles at W ; prove that XY = XZ . See fig . 103 ...
Seite 93
... bisector of △ BAC . Let it cut BC at D. Proof In the As ABD , ACD AB = AC , Data AD is common , < BAD = CAD ( included △ s ) , Constr . .. AABDA ACD , I. 10 . .. LB = LC . Q. E. D. 66 66 The phrase " the sides " of an isosceles ...
... bisector of △ BAC . Let it cut BC at D. Proof In the As ABD , ACD AB = AC , Data AD is common , < BAD = CAD ( included △ s ) , Constr . .. AABDA ACD , I. 10 . .. LB = LC . Q. E. D. 66 66 The phrase " the sides " of an isosceles ...
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Elementary Geometry: Practical and Theoretical Charles Godfrey,Arthur Warry Siddons Keine Leseprobe verfügbar - 2015 |
Elementary Geometry: Practical and Theoretical C. Godfrey,A. W. Siddons Keine Leseprobe verfügbar - 2020 |
Häufige Begriffe und Wortgruppen
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 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 meet miles opposite sides parallelogram Plot the locus polygon produced protractor Q. E. D. Ex quadrilateral ABCD radii rect 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
Beliebte Passagen
Seite 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.
Seite 269 - To describe an isosceles triangle, having each of the angles at the base double of the third angle.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 214 - A point moves so that the sum of the squares of its distances from the points (0, 0), (1, 0) is constant.
Seite 123 - The difference between any two sides of a triangle is less than the third side.