Elementary Plane Geometry: Inductive and DeductiveGinn, 1903 - 144 Seiten |
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Ergebnisse 1-5 von 29
Seite 17
... produce the bounding lines of these angles to meet in C. Then employing the dividers or compasses , compare the lengths of the sides CA , CB , of the A triangle CAB . Construct the following triangles : Base 25 millimetres , each of ...
... produce the bounding lines of these angles to meet in C. Then employing the dividers or compasses , compare the lengths of the sides CA , CB , of the A triangle CAB . Construct the following triangles : Base 25 millimetres , each of ...
Seite 19
... produce the base both ways . What do you note as to the magnitudes of the exterior angles so formed ? 3. Construct a triangle with sides 30 , 50 ... produced , from B and C ? 8. On BC describe an equilateral triangle ABC , and EXERCISES . 19.
... produce the base both ways . What do you note as to the magnitudes of the exterior angles so formed ? 3. Construct a triangle with sides 30 , 50 ... produced , from B and C ? 8. On BC describe an equilateral triangle ABC , and EXERCISES . 19.
Seite 29
... produced to meet in E , what are the triangles EAD , EBC ? Give reasons . 17. From two lines diverging from A , equal lengths AB , AC are cut off , and also equal lengths AD , AE . CD , BE , BC and DE are joined . What lines , angles ...
... produced to meet in E , what are the triangles EAD , EBC ? Give reasons . 17. From two lines diverging from A , equal lengths AB , AC are cut off , and also equal lengths AD , AE . CD , BE , BC and DE are joined . What lines , angles ...
Seite 30
... produced to D , CA to E , and AB to F. How many degrees are there in the sum of the angles ACD , BAE , CBF ? Verify by measurement and addition . CHAPTER IV . Bisection of Lines and Angles . Perpendiculars 30 GEOMETRY .
... produced to D , CA to E , and AB to F. How many degrees are there in the sum of the angles ACD , BAE , CBF ? Verify by measurement and addition . CHAPTER IV . Bisection of Lines and Angles . Perpendiculars 30 GEOMETRY .
Seite 37
... producing it both ways . take points F , G , H , . 9 Bisect AB in D , and AC in E. In the base BC , or BC produced , and join AF , AG , AH . · What do you observe as to the division of the lines AF , AG , AH • by DE or DE produced ? 11 ...
... producing it both ways . take points F , G , H , . 9 Bisect AB in D , and AC in E. In the base BC , or BC produced , and join AF , AG , AH . · What do you observe as to the division of the lines AF , AG , AH • by DE or DE produced ? 11 ...
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Elementary Plane Geometry: Inductive and Deductive / By Alfred Baker Alfred Baker Keine Leseprobe verfügbar - 2015 |
Häufige Begriffe und Wortgruppen
50 millimetres ABCD adjusting the bevel angle ABC angle ACB angle BAC angle of 60 angles equal angular points Apply test centre chord circle of radius circle touching circumference construct a rectangle Construct a triangle Construct the triangle containing an angle Describe a circle Describe a regular Describe two circles diagonals distance dividers draw a line draw tangents drawn equal angles equilateral triangle exterior angle figure Give proof Give reasons Hence hypotenuse inches inscribe isosceles triangle measure middle point occupy with respect opposite angles opposite sides parallel lines parallel rulers parallel to BC parallelogram perpendicular position preceding question previous question protractor quadrilateral radii radius 40 millimetres rectangle equal regular hexagon regular pentagon remaining angles rhombus right angles right-angled triangle segment set-square side of BC similar triangles square straight line struct Test accuracy Test the accuracy three angles triangle ABC triangle with sides triangles are equal
Beliebte Passagen
Seite 68 - In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the sum of the squares described on the sides which contain the right angle.
Seite 95 - When it is affirmed (for instance) that " if two straight lines in a circle intersect each other, the rectangle contained by the segments of the one is equal to the rectangle contained by the segments of the other...
Seite 42 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Seite 40 - Thus when it is said that the sum of the three angles of any triangle is equal to two right angles, this is a theorem, the truth of which is demonstrated by Geometry.
Seite 91 - 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 17 - Euclid's, and show by construction that its truth was known to us ; to demonstrate, for example, that the angles at the base of an isosceles triangle are equal...
Seite 18 - If two angles of a triangle are equal, the sides opposite to these angles are equal 21 ^THEOREM 14.
Seite 86 - The angle at the centre of a circle is double the angle at the circumference on the same arc.
Seite 88 - The opposite angles of a quadrilateral inscribed in a circle are together equal to two right angles, with converse.
Seite 96 - BC, contained by the whole of the cutting line, and the part of it without the circle, is equal to the square of BD which meets it ; therefore the straight line BD touches the circle ACD : (in.