A School Geometry, Teile 1-4Macmillan and Company, 1908 |
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Seite x
... greater PAGE 20 21 ลี ดี 21 222 22 24 28 29 * 2 2 6 29 29 than another , then the angle opposite to the greater side is greater than the angle opposite to the less . 30 THEOREM 10. [ Euc . I. 19. ] If one angle of a triangle is greater ...
... greater PAGE 20 21 ลี ดี 21 222 22 24 28 29 * 2 2 6 29 29 than another , then the angle opposite to the greater side is greater than the angle opposite to the less . 30 THEOREM 10. [ Euc . I. 19. ] If one angle of a triangle is greater ...
Seite xi
... greater angle is greater than the base of the other . 42 2 44 46 48 50 51 52 CONVERSE OF THEOREM 19 - 53 Parallelograms . DEFINITIONS 59 56 THEOREM 20. [ Euc . I. 33. ] The straight lines which join the extremities of two equal and ...
... greater angle is greater than the base of the other . 42 2 44 46 48 50 51 52 CONVERSE OF THEOREM 19 - 53 Parallelograms . DEFINITIONS 59 56 THEOREM 20. [ Euc . I. 33. ] The straight lines which join the extremities of two equal and ...
Seite xiii
... greater segment in each being towards the angular point . PAGE 87 88888 91 = 383 92 93 96 96 97 45 97 Areas . PART II . DEFINITIONS 99 THEOREM 23. AREA OF A RECTANGLE . 100 THEOREM 24 . [ Euc . I. 35. ] Parallelograms on the same base ...
... greater segment in each being towards the angular point . PAGE 87 88888 91 = 383 92 93 96 96 97 45 97 Areas . PART II . DEFINITIONS 99 THEOREM 23. AREA OF A RECTANGLE . 100 THEOREM 24 . [ Euc . I. 35. ] Parallelograms on the same base ...
Seite xv
... greater is that which subtends the greater angle at the centre . THEOREM 37. [ Euc . III . 8. ] If from any external point straight lines are drawn to the circumference of a circle , the greatest is that which passes through the centre ...
... greater is that which subtends the greater angle at the centre . THEOREM 37. [ Euc . III . 8. ] If from any external point straight lines are drawn to the circumference of a circle , the greatest is that which passes through the centre ...
Seite 4
... greater B than one right angle , but less than two right angles , is said to be obtuse . That is , an obtuse angle lies between 90 ° and 180 ° . 10. If one arm OB of an angle turns until it makes a straight line with the other arm OA ...
... greater B than one right angle , but less than two right angles , is said to be obtuse . That is , an obtuse angle lies between 90 ° and 180 ° . 10. If one arm OB of an angle turns until it makes a straight line with the other arm OA ...
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Häufige Begriffe und Wortgruppen
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
Beliebte Passagen
Seite 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...
Seite 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.
Seite 190 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Seite 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.
Seite 5 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Seite 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.
Seite 28 - If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles.
Seite 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.
Seite 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.