Elementary Plane Geometry: Inductive and DeductiveGinn, 1903 - 144 páginas |
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Página 3
... observation , feels himself justified in making the generalization expressed in the enunciation of Euclid I. , 26. In the process the intellectual interest and curiosity of the pupil are excited , and in reaching the conclu- sion he ...
... observation , feels himself justified in making the generalization expressed in the enunciation of Euclid I. , 26. In the process the intellectual interest and curiosity of the pupil are excited , and in reaching the conclu- sion he ...
Página 14
... observe as to the lengths AB , BC , CD , DE , EF , FA ? 18. Fold a piece of paper so as to get a straight crease . Fold the crease over on itself . How many degrees in each of the four angles so obtained , and why ? 19. With a needle ...
... observe as to the lengths AB , BC , CD , DE , EF , FA ? 18. Fold a piece of paper so as to get a straight crease . Fold the crease over on itself . How many degrees in each of the four angles so obtained , and why ? 19. With a needle ...
Página 20
... observe as to the positions of the lines DC , CE with respect to one another ; of EA , AF ; and of FB , BD ? 11. In the preceding question mark all the angles that are equal to one another ; also all the lines that are equal to one ...
... observe as to the positions of the lines DC , CE with respect to one another ; of EA , AF ; and of FB , BD ? 11. In the preceding question mark all the angles that are equal to one another ; also all the lines that are equal to one ...
Página 37
... observe as to the distances of any point in OC from OA and OB ? Give proof . What do you observe as to the angles which OC makes with these distances to OA and OB ? Give proof . 3. AB and CD intersect in O. by OE and OF . Bisect the ...
... observe as to the distances of any point in OC from OA and OB ? Give proof . What do you observe as to the angles which OC makes with these distances to OA and OB ? Give proof . 3. AB and CD intersect in O. by OE and OF . Bisect the ...
Página 40
... angle , which is next in magnitude , and which is least . Repeat the same examination in the case of the tri- angle whose sides are 2 , 4 and 5 inches . What position do you observe the greatest , inter- mediate 40 GEOMETRY .
... angle , which is next in magnitude , and which is least . Repeat the same examination in the case of the tri- angle whose sides are 2 , 4 and 5 inches . What position do you observe the greatest , inter- mediate 40 GEOMETRY .
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.