Elementary Plane Geometry: Inductive and DeductiveGinn, 1903 - 144 Seiten |
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Seite 38
... the angles of the two triangles ? Make three different figures , the triangles being of different shapes , and examine whether the same relations exist in the three cases . CHAPTER V. Respecting Angles of a Triangle . 1. We 38 GEOMETRY .
... the angles of the two triangles ? Make three different figures , the triangles being of different shapes , and examine whether the same relations exist in the three cases . CHAPTER V. Respecting Angles of a Triangle . 1. We 38 GEOMETRY .
Seite 39
... examine now the re- lation existing between the angle EBC , which is equal to the sum of the angles A and B of the triangle , and the exterior angle ACD . Repeat the construction and examination in the case of a triangle of different ...
... examine now the re- lation existing between the angle EBC , which is equal to the sum of the angles A and B of the triangle , and the exterior angle ACD . Repeat the construction and examination in the case of a triangle of different ...
Seite 47
... examining whether lines drawn perpendicular to each pair of parallels are equal in length . ( See 9 and 10 , following . ) For the most part , in future , in drawing parallel lines parallel rulers are to be used , or ruler and set ...
... examining whether lines drawn perpendicular to each pair of parallels are equal in length . ( See 9 and 10 , following . ) For the most part , in future , in drawing parallel lines parallel rulers are to be used , or ruler and set ...
Seite 49
... Examine the equality of alternate angles . Examine whether the sum of interior angles on the same side is Prove that the alternate angles ADB , DBC are equal , and that , therefore , the lines are parallel . 2. If AB , CD intersect in O ...
... Examine the equality of alternate angles . Examine whether the sum of interior angles on the same side is Prove that the alternate angles ADB , DBC are equal , and that , therefore , the lines are parallel . 2. If AB , CD intersect in O ...
Seite 55
... examine how the point in which the diagonals intersect divides them . Give proof . 5. Draw two lines whose intersection bisects both , and show by using parallel rulers that the lines joining the extremities of the bisected lines are ...
... examine how the point in which the diagonals intersect divides them . Give proof . 5. Draw two lines whose intersection bisects both , and show by using parallel rulers that the lines joining the extremities of the bisected lines are ...
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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.