Elementary Geometry: Practical and TheoreticalUniversity Press, 1903 - 355 Seiten |
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Seite vii
... similar figures . Euclid's definition of proportion has gone , and is replaced by an easy algebraic treatment applicable ( as is now permitted ) to commensurable magnitudes only . On the whole , the authors believe that with two ...
... similar figures . Euclid's definition of proportion has gone , and is replaced by an easy algebraic treatment applicable ( as is now permitted ) to commensurable magnitudes only . On the whole , the authors believe that with two ...
Seite xi
... Similar Triangles Rectangle Properties , etc. Similar Polygons Miscellaneous Exercises 301 304 305 313 326 337 345 APPENDIX . Euclid II . 14 Euclid III . 35 , 36 349 350 List of Definitions 352 PART I. EXPERIMENTAL GEOMETRY . G. S. 1 ...
... Similar Triangles Rectangle Properties , etc. Similar Polygons Miscellaneous Exercises 301 304 305 313 326 337 345 APPENDIX . Euclid II . 14 Euclid III . 35 , 36 349 350 List of Definitions 352 PART I. EXPERIMENTAL GEOMETRY . G. S. 1 ...
Seite 31
... similar figures . Ex . 151. Which of the following pairs of figures are of necessity similar :—( i ) two circles , ( ii ) two right - angled triangles , ( iii ) two isosceles triangles , ( iv ) two equilateral triangles , ( v ) two ...
... similar figures . Ex . 151. Which of the following pairs of figures are of necessity similar :—( i ) two circles , ( ii ) two right - angled triangles , ( iii ) two isosceles triangles , ( iv ) two equilateral triangles , ( v ) two ...
Seite 55
... similar to that of Ex . 290 construct a curve symmetrical about a centre . POINTS , LINES , SURFACES , SOLIDS . This should be taken viva voce ; the definitions are not intended to be learnt . In Ex . 109 , 116 , 210 , 221 , 224 you ...
... similar to that of Ex . 290 construct a curve symmetrical about a centre . POINTS , LINES , SURFACES , SOLIDS . This should be taken viva voce ; the definitions are not intended to be learnt . In Ex . 109 , 116 , 210 , 221 , 224 you ...
Seite 143
... similar way mark about 10 points equidistant from A and B ; some above and some below AB . Notice what pattern this set of points seems to form . Draw a line passing through all of them . Find a point on AB equidistant from A and B ...
... similar way mark about 10 points equidistant from A and B ; some above and some below AB . Notice what pattern this set of points seems to form . Draw a line passing through all of them . Find a point on AB equidistant from A and B ...
Andere Ausgaben - Alle anzeigen
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 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
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.