Elementary Plane Geometry: Inductive and DeductiveGinn, 1903 - 144 Seiten |
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Seite 117
Inductive and Deductive Alfred Baker. CHAPTER XVII . Regular Polygons . 1. A polygon is a rectilineal figure contained by more than four straight sides . A pentagon is a figure of 5 sides . hexagon 66 66 66 heptagon 66 66 7 66 octagon 66 ...
Inductive and Deductive Alfred Baker. CHAPTER XVII . Regular Polygons . 1. A polygon is a rectilineal figure contained by more than four straight sides . A pentagon is a figure of 5 sides . hexagon 66 66 66 heptagon 66 66 7 66 octagon 66 ...
Seite 118
... pentagon . The angle at the vertex of each isosceles triangle in the figure being 72 ° , each angle at the base must be 54 ° ; and therefore each of the angles ( ABC , BCD , . . . ) of a regular pentagon is 108 ° . K ) 4. If tangents to ...
... pentagon . The angle at the vertex of each isosceles triangle in the figure being 72 ° , each angle at the base must be 54 ° ; and therefore each of the angles ( ABC , BCD , . . . ) of a regular pentagon is 108 ° . K ) 4. If tangents to ...
Seite 119
... regular pentagon . With the dividers and bevel prove the accuracy of your construction , that the sides and angles are equal . Describe also about the same circle a regular penta- gon . With the dividers and bevel prove the accuracy of ...
... regular pentagon . With the dividers and bevel prove the accuracy of your construction , that the sides and angles are equal . Describe also about the same circle a regular penta- gon . With the dividers and bevel prove the accuracy of ...
Seite 120
... regular pentagon with side of 1 in . of construction . 10. Describe a regular pentagon with side of 2 in . of construction . Test accuracy Test accuracy 11. In the two preceding questions , what is the relation between the radii of the ...
... regular pentagon with side of 1 in . of construction . 10. Describe a regular pentagon with side of 2 in . of construction . Test accuracy Test accuracy 11. In the two preceding questions , what is the relation between the radii of the ...
Seite 126
... regular octagon whose side is 35 millimetres . Test the accuracy of your construction . 13. With the angular points ... pentagon ) , the sides AB , BC not being equal . At C make BCD of 108 ° ; at D make CDE of 108 ° ; and so on . Shall we at ...
... regular octagon whose side is 35 millimetres . Test the accuracy of your construction . 13. With the angular points ... pentagon ) , the sides AB , BC not being equal . At C make BCD of 108 ° ; at D make CDE of 108 ° ; and so on . Shall we at ...
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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.