Elementary Plane Geometry: Inductive and DeductiveGinn, 1903 - 144 páginas |
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Página 3
... remaining angles of the triangles have the same magnitude . Analogous constructions and measure- ments being repeated in a number of cases , the learner , as a matter of inductive observation , feels himself justified in making the ...
... remaining angles of the triangles have the same magnitude . Analogous constructions and measure- ments being repeated in a number of cases , the learner , as a matter of inductive observation , feels himself justified in making the ...
Página 14
... remaining boundary into any irregular shape . With your protractor convert this paper into a protractor , so as to mark angles at intervals of 10 ° , the markings being on the irregular edge of the paper . Construction of Triangles . 1 ...
... remaining boundary into any irregular shape . With your protractor convert this paper into a protractor , so as to mark angles at intervals of 10 ° , the markings being on the irregular edge of the paper . Construction of Triangles . 1 ...
Página 17
... remaining angles BAD and ABE are also equal . 3. Taking any line AB , with the bevel or protractor construct equal angles at A and B , and produce the bounding lines of these angles to meet in C. Then employing the dividers or compasses ...
... remaining angles BAD and ABE are also equal . 3. Taking any line AB , with the bevel or protractor construct equal angles at A and B , and produce the bounding lines of these angles to meet in C. Then employing the dividers or compasses ...
Página 24
... remaining sides are equal , and the angles opposite to equal sides are equal , and the triangles are equal in area . In other words two such triangles are the same triangle in different positions . Another way of stating the fact is to ...
... remaining sides are equal , and the angles opposite to equal sides are equal , and the triangles are equal in area . In other words two such triangles are the same triangle in different positions . Another way of stating the fact is to ...
Página 26
... remaining angles at A and D are equal , each being 44 ° . Putting the points of the dividers on A and B , and carrying the dividers , so adjusted , to DE , compare the magnitudes of AB and DE . In like manner compare the magnitudes of ...
... remaining angles at A and D are equal , each being 44 ° . Putting the points of the dividers on A and B , and carrying the dividers , so adjusted , to DE , compare the magnitudes of AB and DE . In like manner compare the magnitudes of ...
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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.