A School Geometry, Μέρη 1-4Macmillan and Company, 1908 |
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Αποτελέσματα 1 - 5 από τα 38.
Σελίδα 14
... Similarly , the COB = the AOD . Q.E.D. PROOF BY ROTATION . Suppose the line COD to revolve about O until OC turns into the position OA . Then at the same moment OD must reach the position OB ( for AOB and COD are straight ) . Thus the ...
... Similarly , the COB = the AOD . Q.E.D. PROOF BY ROTATION . Suppose the line COD to revolve about O until OC turns into the position OA . Then at the same moment OD must reach the position OB ( for AOB and COD are straight ) . Thus the ...
Σελίδα 21
... similarly placed with regard to the axis . Theorem 5 proves that an isosceles triangle is symmetrical about the bisector of its VERTICAL angle . An equilateral triangle is symmetrical about the bisector of ANY ONE of its angles ...
... similarly placed with regard to the axis . Theorem 5 proves that an isosceles triangle is symmetrical about the bisector of its VERTICAL angle . An equilateral triangle is symmetrical about the bisector of ANY ONE of its angles ...
Σελίδα 35
... 8/7 E 2 4/3 of EF . Such angles are also known as corresponding angles . Similarly 7 and 3 , 8 and 4 , 1 and 5 are pairs of corresponding angles . THEOREM 13. [ Euclid I. 27 and 28. ] If PARALLELS . 85 Parallels PLAYFAIR'S AXIOM.
... 8/7 E 2 4/3 of EF . Such angles are also known as corresponding angles . Similarly 7 and 3 , 8 and 4 , 1 and 5 are pairs of corresponding angles . THEOREM 13. [ Euclid I. 27 and 28. ] If PARALLELS . 85 Parallels PLAYFAIR'S AXIOM.
Σελίδα 36
... ; but , by hypothesis , it is not greater . .. AB and CD cannot meet when produced towards B and D. Similarly it may be shewn that they cannot meet towards A and C : .. AB and CD are parallel . C H E B △ ( ii ) Let the 36 GEOMETRY .
... ; but , by hypothesis , it is not greater . .. AB and CD cannot meet when produced towards B and D. Similarly it may be shewn that they cannot meet towards A and C : .. AB and CD are parallel . C H E B △ ( ii ) Let the 36 GEOMETRY .
Σελίδα 63
... Similarly if the given par1s divide AB into n equal parts , 3 -- Pp = BC , Qq = · BC , Rr = BC ; and so on . n n n *** Problem 7 , p . 78 , should now be worked . DEFINITION . If from the extremities of a straight line AB perpendiculars ...
... Similarly if the given par1s divide AB into n equal parts , 3 -- Pp = BC , Qq = · BC , Rr = BC ; and so on . n n n *** Problem 7 , p . 78 , should now be worked . DEFINITION . If from the extremities of a straight line AB perpendiculars ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
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 COROLLARY 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 perpendicular 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
Δημοφιλή αποσπάσματα
Σελίδα 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...
Σελίδα 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.
Σελίδα 190 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Σελίδα 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.
Σελίδα 5 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Σελίδα 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.
Σελίδα 28 - If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles.
Σελίδα 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.
Σελίδα 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.