Elementary Plane Geometry: Inductive and DeductiveGinn, 1903 - 144 Seiten |
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Ergebnisse 1-5 von 18
Seite 42
... ABCD is a right - angled equilateral four - sided figure . AC is joined . Any point E is taken within the triangle ABC . Is E nearer to B or to D ? Give reasons . 9. A triangle can have only one angle either equal to or greater than a ...
... ABCD is a right - angled equilateral four - sided figure . AC is joined . Any point E is taken within the triangle ABC . Is E nearer to B or to D ? Give reasons . 9. A triangle can have only one angle either equal to or greater than a ...
Seite 43
... ABCD is a four - sided figure . How does the sum of the exterior angles at A and C compare in magnitude with either of the interior angles B or D ? Give reasons . 12. ABC is a triangle , and O is a point within it . Is the angle BOC ...
... ABCD is a four - sided figure . How does the sum of the exterior angles at A and C compare in magnitude with either of the interior angles B or D ? Give reasons . 12. ABC is a triangle , and O is a point within it . Is the angle BOC ...
Seite 50
... ABCD with its opposite sides equal . How are the opposite sides placed with respect to each other ? Test and give proof . Place a 20. Two lines make an angle of 63 ° with each other . straight line 2 inches long with its ends resting on ...
... ABCD with its opposite sides equal . How are the opposite sides placed with respect to each other ? Test and give proof . Place a 20. Two lines make an angle of 63 ° with each other . straight line 2 inches long with its ends resting on ...
Seite 57
... ABCD and DBCE , and the triangle EDC can be cut out , pushed to the left , and made to cover exactly the triangle DAB . Thus the area DBCE is made to coincide with the area ABCD , and they are equal . ( 2 ) The parallelograms may lie as A ...
... ABCD and DBCE , and the triangle EDC can be cut out , pushed to the left , and made to cover exactly the triangle DAB . Thus the area DBCE is made to coincide with the area ABCD , and they are equal . ( 2 ) The parallelograms may lie as A ...
Seite 58
... ABCD , and they are equal . If the parallelo- grams be much in- clined from one another , more than one line correspond- ing to GHK must be drawn . The ac- companying figure ? 6 5 4 E 7 6 5 4 3 2 2 3 illustrates how EBCF must be cut up ...
... ABCD , and they are equal . If the parallelo- grams be much in- clined from one another , more than one line correspond- ing to GHK must be drawn . The ac- companying figure ? 6 5 4 E 7 6 5 4 3 2 2 3 illustrates how EBCF must be cut up ...
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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.