Pure mathematics, Volume 11874 |
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Page 84
... " mitred bead , . 51 " x 3 " bead lining ,. No. 11 inch - beaded centre boards , . do . , 1/1 0/6 0/4 0/3 1/6 1/4 0/1 0/3 0/6 Total , .. MISCELLANEOUS EXAMPLES . ( Selected from University and other Examination 84 ARITHMETIC . 61.
... " mitred bead , . 51 " x 3 " bead lining ,. No. 11 inch - beaded centre boards , . do . , 1/1 0/6 0/4 0/3 1/6 1/4 0/1 0/3 0/6 Total , .. MISCELLANEOUS EXAMPLES . ( Selected from University and other Examination 84 ARITHMETIC . 61.
Page 90
... centre of the circle , [ and any straight line drawn from the centre to the circumference is called a radius of the circle ] . 17. A diameter of a circle is a straight line 90 GEOMETRY .
... centre of the circle , [ and any straight line drawn from the centre to the circumference is called a radius of the circle ] . 17. A diameter of a circle is a straight line 90 GEOMETRY .
Page 91
... centre , and terminated both ways by the circumference . 18. A semicircle is the figure contained by a diameter and the part of the circumference cut off by the diameter . 19. A segment of a circle is the figure contained by a straight ...
... centre , and terminated both ways by the circumference . 18. A semicircle is the figure contained by a diameter and the part of the circumference cut off by the diameter . 19. A segment of a circle is the figure contained by a straight ...
Page 92
... centre , at any distance from that centre . Axioms . 1. Things which are equal to the same thing are equal to one another . 2. If equals be added to equals the wholes are equal . 3. If equals be taken from equals the remainders are 92 ...
... centre , at any distance from that centre . Axioms . 1. Things which are equal to the same thing are equal to one another . 2. If equals be added to equals the wholes are equal . 3. If equals be taken from equals the remainders are 92 ...
Page 94
... centre A , at the distance AB , describe the circle BCD ( Post . 3 ) . From the centre B , at the dis- tance BA , describe the circle ACE ( Post . 3 ) . From the point C , in which the circles cut one another , draw the straight lines ...
... centre A , at the distance AB , describe the circle BCD ( Post . 3 ) . From the centre B , at the dis- tance BA , describe the circle ACE ( Post . 3 ) . From the point C , in which the circles cut one another , draw the straight lines ...
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Common terms and phrases
a²b a²b² a²x² ab² ab³ ABCD algebraical algebraical quantity angle ABC angle BAC angle BCD angle EDF angle equal ax² base BC BC is equal bisect brackets cent centim centre circle ABC circumference coefficient common Const cube root decimal figures denominator distance divided divisor equation expression exterior angle factor Find the value fraction given rectilineal given straight line gram greater Hence join kilom less Let ABC logarithm metres millig Multiply opposite angles parallel parallelogram perpendicular PROOF.-Because Q. E. D. Proposition quotient ratio rectangle contained remainder right angles segment side BC square on AC square root subtraction term triangle ABC x²y x²y² x³y xy² xy³
Popular passages
Page 116 - Wherefore, if a straight line, &c. QED PROPOSITION XXVIII. THEOREM. If a straight line falling upon two other straight lines, make the exterior angle equal to...
Page 103 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle; and the straight line which stands on the other is called a perpendicular to it.
Page 113 - If two triangles have two angles of the 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...
Page 88 - A circle is a plane figure contained by one line, which is called the circumference, and is such, that all straight lines drawn from a certain point within the figure to the circumference are equal to one another : 16.
Page 273 - The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles.
Page 94 - J which the equal sides are opposite, shall be equal, each to each, viz. the angle ABC to the angle DEF, and the angle ACB to DFE.
Page 271 - If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle ; the angles which this line makes with the line touching the circle, shall be equal to the angles which are in the alternate segments of the circle.
Page 91 - If a straight line meets two straight lines, so as to " make the two interior angles on the same side of it taken " together less than two right angles...
Page 112 - IMS the greater base shall be greater t/uin the angle contained by the sides equal to them of the other. Let ABC, DEF, be two triangles, which have The two sides AB, AC...
Page 128 - To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.