The Element of GeometryW.E. Dean, 1836 - 114 sider |
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Side 43
... tangent . II . When the perpendiculars drawn to straight lines from the centre of a circle are equal , the straight lines may be said to be equally distant from the centre . III . And the straight line on which the greater perpendicular ...
... tangent . II . When the perpendiculars drawn to straight lines from the centre of a circle are equal , the straight lines may be said to be equally distant from the centre . III . And the straight line on which the greater perpendicular ...
Side 49
... tangent to the circumference of a circle . Let DFG be a circle , A the centre , AD a radius , and BC perpendi- cular to AD at the point D ; BC is a tangent to the circumference DFG . Take E any point in BC , and join AE . Because AD is ...
... tangent to the circumference of a circle . Let DFG be a circle , A the centre , AD a radius , and BC perpendi- cular to AD at the point D ; BC is a tangent to the circumference DFG . Take E any point in BC , and join AE . Because AD is ...
Side 99
... tangents to the circle , the square EFGH is half ( 15. 2. ) of the square described about the circle ; and the circle is less than the square described about it ; therefore the square EFGH is greater than half of the circle . Divide the ...
... tangents to the circle , the square EFGH is half ( 15. 2. ) of the square described about the circle ; and the circle is less than the square described about it ; therefore the square EFGH is greater than half of the circle . Divide the ...
Side 103
... tangent , and secant of any angle ABC , are likewise the sine , tangent , and secant of its supplement CBF . It is manifest from Def . 4. that CD is the sine of the angle CBF . Let CB be produced till it meet the circle again in G ; and ...
... tangent , and secant of any angle ABC , are likewise the sine , tangent , and secant of its supplement CBF . It is manifest from Def . 4. that CD is the sine of the angle CBF . Let CB be produced till it meet the circle again in G ; and ...
Side 104
... tangent , and secant of any an- gle may be found in parts of which the radius contains a given number : and , vice versa , a number expressing the length of the sine , versed sine , tangent , and secant being given , the angle of which ...
... tangent , and secant of any an- gle may be found in parts of which the radius contains a given number : and , vice versa , a number expressing the length of the sine , versed sine , tangent , and secant being given , the angle of which ...
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The Element of Geometry (Classic Reprint) Formerly Chairman Department of Immunology John Playfair,John Playfair Ingen forhåndsvisning tilgjengelig - 2017 |
Vanlige uttrykk og setninger
AB is equal AC is equal adjacent angles angle ABC angle ACB angle BAC angle DEF arc AC base BC bisect called centre circle ABCD circle EFGH coincide described divided drawn duplicate ratio equal 17 equal angles equal circles equal to CD equiangular FGHKL fore four right angles given straight line gnomon greater homologous sides join less Let ABC Let the straight opposite angles parallel parallelogram perpendicular polygon PROB produced Q. E. D. PROP radius rectangle BC rectangle contained rectilineal figure remaining angle right angled triangle secant segment side AC similar sine square of AC straight line AB straight line AC THEOR touches the circle triangle ABC twice the rectangle wherefore whole angle
Populære avsnitt
Side 25 - If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
Side 13 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line ; it is required to draw a straight line E iR.
Side 4 - To draw a straight line at right angles to a given straight line, from a given point in the same.
Side 29 - In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side...
Side 90 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.
Side 87 - ... magnitudes there be taken more than its half, and from the remainder more than its half, and so on, there shall at length remain a magnitude less than the least of the proposed magnitudes.
Side 1 - If two triangles have two sides of the one equal to two sides of the...
Side 13 - If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles.
Side 64 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Side 19 - If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...