A School Geometry, Μέρη 1-4Macmillan and Company, 1908 |
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Σελίδα xii
... diagonal bisects the parallelogram . 58 COR . 1. If one angle of a parallelogram is a right angle , all its angles are ... diagonals of a parallelogram bisect one another . THEOREM 22. If there are three or more parallel straight lines ...
... diagonal bisects the parallelogram . 58 COR . 1. If one angle of a parallelogram is a right angle , all its angles are ... diagonals of a parallelogram bisect one another . THEOREM 22. If there are three or more parallel straight lines ...
Σελίδα 9
... diagonal , etc. [ For convenience of oral work , and to prevent the rather common abuse of contractions by beginners , the above code of signs has been introduced gradually , and at first somewhat sparingly . ] In numerical examples the ...
... diagonal , etc. [ For convenience of oral work , and to prevent the rather common abuse of contractions by beginners , the above code of signs has been introduced gradually , and at first somewhat sparingly . ] In numerical examples the ...
Σελίδα 19
... diagonals AC , BD are equal . 4. ABCD is a square , and L , M , and N are the middle points of AB , BC , and CD : prove that ( i ) LM = MN . ( iii ) AN = AM . ( ii ) AM = DM . ( iv ) BN DM . [ Draw a separate figure in each case . ] AB ...
... diagonals AC , BD are equal . 4. ABCD is a square , and L , M , and N are the middle points of AB , BC , and CD : prove that ( i ) LM = MN . ( iii ) AN = AM . ( ii ) AM = DM . ( iv ) BN DM . [ Draw a separate figure in each case . ] AB ...
Σελίδα 21
... diagonal BD is drawn : shew that = ( i ) the angle ABD the angle ADB ; ( ii ) the angle CBD the angle CDB ; ( iii ) the angle ABC = the angle ADC . 2. ABC , DBC are two isosceles triangles drawn on the same base BC , but on opposite ...
... diagonal BD is drawn : shew that = ( i ) the angle ABD the angle ADB ; ( ii ) the angle CBD the angle CDB ; ( iii ) the angle ABC = the angle ADC . 2. ABC , DBC are two isosceles triangles drawn on the same base BC , but on opposite ...
Σελίδα 26
... diagonal AC , that ( i ) the angle ABC = the angle ADC ; ( ii ) AC bisects each of the angles BAD , BCD . 3. If in a ... diagonals of a rhombus [ see Ex . 2 ] bisect one another at right angles . 11. The equal sides BA , CA of an ...
... diagonal AC , that ( i ) the angle ABC = the angle ADC ; ( ii ) AC bisects each of the angles BAD , BCD . 3. If in a ... diagonals of a rhombus [ see Ex . 2 ] bisect one another at right angles . 11. The equal sides BA , CA of an ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
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
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.