A School Geometry, Deler 1-4Macmillan and Company, 1908 |
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Resultat 1-5 av 33
Side xviii
... half the line and on the line between the points of section . THEOREM 54. [ Euc . II . 12. ] In an obtuse - angled triangle , the square on the side subtending the obtuse angle is equal to the sum of the squares on the sides containing ...
... half the line and on the line between the points of section . THEOREM 54. [ Euc . II . 12. ] In an obtuse - angled triangle , the square on the side subtending the obtuse angle is equal to the sum of the squares on the sides containing ...
Side 13
... half of a right angle , four- thirds of a right angle ; also of 46 ° , 149 ° , 83 ° , 101 ° 15 ' . 2. Write down the complement of two - fifths of a right angle ; also of 27 ° , 38 ° 16 ′ , and 41 ° 29 ′ 30 ′′ . 3. If two straight lines ...
... half of a right angle , four- thirds of a right angle ; also of 46 ° , 149 ° , 83 ° , 101 ° 15 ' . 2. Write down the complement of two - fifths of a right angle ; also of 27 ° , 38 ° 16 ′ , and 41 ° 29 ′ 30 ′′ . 3. If two straight lines ...
Side 34
... half its perimeter . X. 10 . The perimeter of a quadrilateral is greater than the sum of its diagonals . 11. ABC is a triangle , and the vertical angle BAC is bisected by a line which meets BC in X ; shew that BA is greater than BX ...
... half its perimeter . X. 10 . The perimeter of a quadrilateral is greater than the sum of its diagonals . 11. ABC is a triangle , and the vertical angle BAC is bisected by a line which meets BC in X ; shew that BA is greater than BX ...
Side 47
... half the sum of the remaining angles . 9 . A is the vertex of an isosceles triangle ABC , and BA is produced to D , so that AD is equal to BA ; if DC is drawn , shew that BCD is a right angle . 10. The straight line joining the middle ...
... half the sum of the remaining angles . 9 . A is the vertex of an isosceles triangle ABC , and BA is produced to D , so that AD is equal to BA ; if DC is drawn , shew that BCD is a right angle . 10. The straight line joining the middle ...
Side 64
... half the third side . 4. Shew that the three straight lines which join_the_middle points of the sides of a triangle , divide it into four triangles which are identi eally equal . 5. Any straight line drawn from the vertex of a triangle ...
... half the third side . 4. Shew that the three straight lines which join_the_middle points of the sides of a triangle , divide it into four triangles which are identi eally equal . 5. Any straight line drawn from the vertex of a triangle ...
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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.