Pure mathematics, Volum 11874 |
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Side 90
... perpendicular to it . 11. An obtuse angle is that which is greater than a right angle . 12. An acute angle is that which is less than a right angle . 13. A term or boundary is the extremity of anything . 14. A figure is that which is ...
... perpendicular to it . 11. An obtuse angle is that which is greater than a right angle . 12. An acute angle is that which is less than a right angle . 13. A term or boundary is the extremity of anything . 14. A figure is that which is ...
Side 104
... perpendicular to a given straight line of unlimited length , from a given point without it . Let AB be the given straight line , which may be produced to any length both ways , and let C be a point without it . It is required to draw ...
... perpendicular to a given straight line of unlimited length , from a given point without it . Let AB be the given straight line , which may be produced to any length both ways , and let C be a point without it . It is required to draw ...
Side 105
... perpendicular to it ( Def . 10 ) . Therefore , from the given point C , a perpendicular has been drawn to the given straight line AB . Q. E. F. Proposition 13. — Theorem . The angles which one straight line makes with another upon one ...
... perpendicular to it ( Def . 10 ) . Therefore , from the given point C , a perpendicular has been drawn to the given straight line AB . Q. E. F. Proposition 13. — Theorem . The angles which one straight line makes with another upon one ...
Side 138
... perpendicular to BC ; every point in AD is equally distant from B and C. 6. Show that the sum of the sum and difference of two given straight lines is twice the greater , and that the difference of the sum and difference is twice the ...
... perpendicular to BC ; every point in AD is equally distant from B and C. 6. Show that the sum of the sum and difference of two given straight lines is twice the greater , and that the difference of the sum and difference is twice the ...
Side 139
... the rectangle contained by the perpendicular distance between the parallel sides of the trapezium , and the sum of the parallel sides . 36. The area of any trapezium is half the rectangle EXERCISES ON THE PROPOSITIONS . 139.
... the rectangle contained by the perpendicular distance between the parallel sides of the trapezium , and the sum of the parallel sides . 36. The area of any trapezium is half the rectangle EXERCISES ON THE PROPOSITIONS . 139.
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Pure Mathematics: Including the Higher Parts of Algebra and Plane ..., Volum 1 Edward Atkins Uten tilgangsbegrensning - 1877 |
Vanlige uttrykk og setninger
a²b a²b² a²x² a³b ab² ab³ ABCD adjacent angles algebraical algebraical quantity angle ABC angle BAC angle BCD angle EDF angle equal base BC BC is equal bisect brackets cent centim centre circle ABC 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 greater Hence join kilom 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
Populære avsnitt
Side 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...
Side 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.
Side 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...
Side 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.
Side 273 - The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles.
Side 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.
Side 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.
Side 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...
Side 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...
Side 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.