Elementary Plane Geometry: Inductive and DeductiveGinn, 1903 - 144 páginas |
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Página 5
... SEGMENTS OF INTERSECT- ING CHORDS . 94 XIV . TRIANGLES IN AND ABOUT CIRCLES 100 -XV . CIRCLES IN AND ABOUT TRIANGLES 106 XVI . SQUARES AND CIRCLES IN AND ABOUT Circles AND SQUARES 111 XVII . REGULAR POLYGONS 117 XVIII . REGULAR POLYGONS ...
... SEGMENTS OF INTERSECT- ING CHORDS . 94 XIV . TRIANGLES IN AND ABOUT CIRCLES 100 -XV . CIRCLES IN AND ABOUT TRIANGLES 106 XVI . SQUARES AND CIRCLES IN AND ABOUT Circles AND SQUARES 111 XVII . REGULAR POLYGONS 117 XVIII . REGULAR POLYGONS ...
Página 76
... segments of the chord made by the foot of the perpendicular ? 2. With the bevel or protractor construct two equal angles at the centre of a circle , and draw the chords which subtend these angles . What is the relation between these ...
... segments of the chord made by the foot of the perpendicular ? 2. With the bevel or protractor construct two equal angles at the centre of a circle , and draw the chords which subtend these angles . What is the relation between these ...
Página 77
... segments of these lines between A and the points of section by the circle ? What as to the parts within the circle ? Apply tests . Give reasons . 17. The same question as the preceding , but with A within the circle . 18. Construct two ...
... segments of these lines between A and the points of section by the circle ? What as to the parts within the circle ? Apply tests . Give reasons . 17. The same question as the preceding , but with A within the circle . 18. Construct two ...
Página 87
... segment of a circle , i.e. , angles standing on the same arc of a circle , being on the circumference , are equal to one another . Using the bevel , construct a number of angles as in the annexed figure , all of the same magnitude , and ...
... segment of a circle , i.e. , angles standing on the same arc of a circle , being on the circumference , are equal to one another . Using the bevel , construct a number of angles as in the annexed figure , all of the same magnitude , and ...
Página 90
... segment of a circle . less than a semicircle is greater than a right angle ; and the angle in a segment of a circle greater than a semicircle is less than a right angle . AC , CB contain an angle which has , in succession , the ...
... segment of a circle . less than a semicircle is greater than a right angle ; and the angle in a segment of a circle greater than a semicircle is less than a right angle . AC , CB contain an angle which has , in succession , the ...
Otras ediciones - Ver todas
Elementary Plane Geometry: Inductive and Deductive / By Alfred Baker Alfred Baker Sin vista previa disponible - 2015 |
Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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...
Página 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.
Página 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.
Página 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.
Página 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...
Página 18 - If two angles of a triangle are equal, the sides opposite to these angles are equal 21 ^THEOREM 14.
Página 86 - The angle at the centre of a circle is double the angle at the circumference on the same arc.
Página 88 - The opposite angles of a quadrilateral inscribed in a circle are together equal to two right angles, with converse.
Página 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.