A School Geometry, Deler 1-4Macmillan and Company, 1908 |
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Side xix
... angles at the base double of the vertical angle . Appendix . On the Form of Some Solid Figures . Answers to Numerical Exercises . ( a + + b ཐག a 4266 +1.7 A - + ( note دال Can GEOMETRY . PART I. AXIOMS . ALL mathematical reasoning is ...
... angles at the base double of the vertical angle . Appendix . On the Form of Some Solid Figures . Answers to Numerical Exercises . ( a + + b ཐག a 4266 +1.7 A - + ( note دال Can GEOMETRY . PART I. AXIOMS . ALL mathematical reasoning is ...
Side 17
... vertical angle is the angle included by them . 8. Triangles are thus classified with regard to their angles : A triangle is said to be right - angled , when one of its angles is a right angle ; obtuse - angled , when one of its angles ...
... vertical angle is the angle included by them . 8. Triangles are thus classified with regard to their angles : A triangle is said to be right - angled , when one of its angles is a right angle ; obtuse - angled , when one of its angles ...
Side 19
... angles which are proved equal in the two triangles are opposite to sides which were given equal . NOTE . The ... vertical angle of an isosceles triangle ( i ) bisects the base ( ii ) is perpendicular to the base . 2. Let O be the ...
... angles which are proved equal in the two triangles are opposite to sides which were given equal . NOTE . The ... vertical angle of an isosceles triangle ( i ) bisects the base ( ii ) is perpendicular to the base . 2. Let O be the ...
Side 21
... VERTICAL angle . An equilateral triangle is symmetrical about the bisector of ANY ONE of its angles . EXERCISES . 1. ABCD is a four - sided figure whose sides are all equal , and the diagonal BD is drawn : shew that = ( i ) the angle ABD ...
... VERTICAL angle . An equilateral triangle is symmetrical about the bisector of ANY ONE of its angles . EXERCISES . 1. ABCD is a four - sided figure whose sides are all equal , and the diagonal BD is drawn : shew that = ( i ) the angle ABD ...
Side 26
... vertical angle : ( ii ) is perpendicular to the base . 2. If ABCD is a rhombus , that is , an equilateral foursided figure ; shew , by drawing the diagonal AC , that ( i ) the angle ABC = the angle ADC ; ( ii ) AC bisects each of the angles ...
... vertical angle : ( ii ) is perpendicular to the base . 2. If ABCD is a rhombus , that is , an equilateral foursided figure ; shew , by drawing the diagonal AC , that ( i ) the angle ABC = the angle ADC ; ( ii ) AC bisects each of the angles ...
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Vanlige uttrykk og setninger
AB² adjacent angles altitude angle equal base BC bisector bisects circle of radius circle whose centre circles which touch circum-circle circumference circumscribed coincide common tangents concyclic Construct a triangle diagonals diagram diameter distance divided draw a circle equal in area equidistant escribed circles Euclid exterior angles Find the area find the locus given angle given circle given point given straight line given triangle greater Hence hypotenuse inches inscribed isosceles triangle length Let ABC meet metres middle point millimetre nine-points circle opposite sides orthocentre par¹ parallelogram pedal triangle perp PROBLEM produced Proof radii rect rectangle rectangle contained rectilineal figure required to prove respectively rhombus right angles right-angled triangle segment shew shewn straight line drawn tangent Theor Theorem trapezium triangle ABC triangles are equal vertex vertical angle
Populære avsnitt
Side xi - IF two triangles have two angles of one equal to two angles of the other, each to each ; and one side equal to one side, viz. either the sides adjacent to the equal...
Side 44 - 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.
Side 190 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Side 12 - If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
Side 5 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Side 122 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Side 28 - If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles.
Side x - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Side 65 - The sum of the perpendiculars from any point within an equilateral triangle to the three sides is equal to the altitude of the triangle (Fig.