Elementary Plane Geometry: Inductive and DeductiveGinn, 1903 - 144 páginas |
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Página 59
... half that of B K D A the triangle . Also , the triangle GBC can , by a section along HK , be converted into the parallelogram LBCK , whose altitude is half that of the triangle . Hence the parallelograms DBCF , LBCK , being on the same ...
... half that of B K D A the triangle . Also , the triangle GBC can , by a section along HK , be converted into the parallelogram LBCK , whose altitude is half that of the triangle . Hence the parallelograms DBCF , LBCK , being on the same ...
Página 60
Inductive and Deductive Alfred Baker. 4. The triangle ABC is half of the parallelogram ABCD , and , therefore , half of the rectangle HBCG . Hence if we find E , the bisection of BC , and draw EF perpendicular to BC , the tri- angle ABC ...
Inductive and Deductive Alfred Baker. 4. The triangle ABC is half of the parallelogram ABCD , and , therefore , half of the rectangle HBCG . Hence if we find E , the bisection of BC , and draw EF perpendicular to BC , the tri- angle ABC ...
Página 61
... half the base of the triangle . We may , however , construct a rectangle equal to any triangle , and give to one of the sides of the rectangle any length we choose . Thus having constructed FECG equal to the triangle ABC , suppose we ...
... half the base of the triangle . We may , however , construct a rectangle equal to any triangle , and give to one of the sides of the rectangle any length we choose . Thus having constructed FECG equal to the triangle ABC , suppose we ...
Página 86
... adjusting the bevel to the angles at the circumfer- ence , compare their magni- tudes . The result of such a G D B H comparison might have been anticipated , since each of the angles at the circumference is half the same angle 86 GEOMETRY .
... adjusting the bevel to the angles at the circumfer- ence , compare their magni- tudes . The result of such a G D B H comparison might have been anticipated , since each of the angles at the circumference is half the same angle 86 GEOMETRY .
Página 87
Inductive and Deductive Alfred Baker. the angles at the circumference is half the same angle , ACB , at the centre . Hence angles described in the same segment of a circle , i.e. , angles standing on the same arc of a circle , being on ...
Inductive and Deductive Alfred Baker. the angles at the circumference is half the same angle , ACB , at the centre . Hence angles described in the same segment of a circle , i.e. , angles standing on the same arc of a circle , being on ...
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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.