Elementary Geometry: Practical and TheoreticalUniversity Press, 1903 - 355 sider |
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Side 168
... equivalent . Notice that congruent figures are necessarily equivalent ; but that equiva- lent figures are not necessarily congruent . Ex . 907 , Give the sides of a pair of equivalent rectangles , which are not congruent . THEOREM 1 . A ...
... equivalent . Notice that congruent figures are necessarily equivalent ; but that equiva- lent figures are not necessarily congruent . Ex . 907 , Give the sides of a pair of equivalent rectangles , which are not congruent . THEOREM 1 . A ...
Side 169
... equivalent to a rectangle on the same base and between the same parallels ( or , of the same altitude ) ; and the area of a parallelogram is measured by the product of the base and the altitude . P A M QD P MQ A в B NC fig . 168 . L BAP ...
... equivalent to a rectangle on the same base and between the same parallels ( or , of the same altitude ) ; and the area of a parallelogram is measured by the product of the base and the altitude . P A M QD P MQ A в B NC fig . 168 . L BAP ...
Side 170
... equivalent parallelogram of angle 30 ° ; and measure its longer diagonal . Ex . 910. Construct a parallelogram equivalent to a given rectangle , on the same base and having one of its angles equal to a given angle ( without using ...
... equivalent parallelogram of angle 30 ° ; and measure its longer diagonal . Ex . 910. Construct a parallelogram equivalent to a given rectangle , on the same base and having one of its angles equal to a given angle ( without using ...
Side 171
... equivalent to a given rectangle , having its sides equal to two given lines . Is this always possible ? Ex . 922. Construct a parallelogram of sides 9 and 8 cm . and angle 20 ° ; make an equivalent rhombus of side 6 cm . and measure its ...
... equivalent to a given rectangle , having its sides equal to two given lines . Is this always possible ? Ex . 922. Construct a parallelogram of sides 9 and 8 cm . and angle 20 ° ; make an equivalent rhombus of side 6 cm . and measure its ...
Side 175
... equivalent triangles ( fig . 171 ) . Ex . 958. E is the mid - point of the diagonal AC of a quadrilateral ABCD . Prove that the quadrilaterals ABED , CBED are equivalent . B fig . 171 . Ex . 959. E is a point on the median AD of AABC ...
... equivalent triangles ( fig . 171 ) . Ex . 958. E is the mid - point of the diagonal AC of a quadrilateral ABCD . Prove that the quadrilaterals ABED , CBED are equivalent . B fig . 171 . Ex . 959. E is a point on the median AD of AABC ...
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Elementary Geometry Practical and Theoretical Charles Godfrey,Arthur Warry Siddons Uten tilgangsbegrensning - 1909 |
Elementary Geometry: Practical and Theoretical Charles Godfrey,Arthur Warry Siddons Ingen forhåndsvisning tilgjengelig - 2015 |
Elementary Geometry: Practical and Theoretical C. Godfrey,A. W. Siddons Ingen forhåndsvisning tilgjengelig - 2020 |
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 diagonal diameter distance divided Draw a circle Draw a straight equal circles equiangular equidistant equilateral triangle 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 miles opposite sides parallelogram perimeter Plot the locus polygon produced protractor Pythagoras Q. E. D. Ex quadrilateral ABCD radii ratio rect rectangle rectangle contained reflex angle Repeat Ex rhombus right angles right-angled triangle segment set square 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.