The Elements of Plane and Solid Geometry: With Numerous ExercisesD.C. Heath & Company, 1890 - 393 sider |
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Side v
... Chords .. Relative Position of Two Circles .. Measurement of Angles .... Quadrilaterals . Problems of Construction .. Exercises . Theorems .. Loci ...... Problems .. 74 8888 78 90 102 104 123 127 129 V BOOK III . RATIO AND PROPORTION ...
... Chords .. Relative Position of Two Circles .. Measurement of Angles .... Quadrilaterals . Problems of Construction .. Exercises . Theorems .. Loci ...... Problems .. 74 8888 78 90 102 104 123 127 129 V BOOK III . RATIO AND PROPORTION ...
Side 74
... chord is the straight line which joins any two points on the circumference , * as AD . * The arc is sometimes said to be subtended by its chord . Chords of a circle are said to be equally distant 74 BOOK II THE CIRCLE Definitions.
... chord is the straight line which joins any two points on the circumference , * as AD . * The arc is sometimes said to be subtended by its chord . Chords of a circle are said to be equally distant 74 BOOK II THE CIRCLE Definitions.
Side 75
... chord on which the greater perpen- dicular falls is said to be further from the centre . NOTE . - Every chord subtends two arcs whose sum is the circumference . A chord which does not pass through the centre , subtends two unequal arcs ...
... chord on which the greater perpen- dicular falls is said to be further from the centre . NOTE . - Every chord subtends two arcs whose sum is the circumference . A chord which does not pass through the centre , subtends two unequal arcs ...
Side 76
... chord of the segment is sometimes called the base of the segment . с F B E A semicircle is the segment included ... chords of the circle , as ACB . The AOB , whose vertex is at the centre O , is called the angle at the centre . 187. An ...
... chord of the segment is sometimes called the base of the segment . с F B E A semicircle is the segment included ... chords of the circle , as ACB . The AOB , whose vertex is at the centre O , is called the angle at the centre . 187. An ...
Side 77
... the centre ( 179 ) . There would then be three equal straight lines drawn from the same point to the same straight line , which is impossible ( 64 ) . ARCS AND CHORDS . Proposition 1. Theorem . 193. Every BOOK II . - DEFINITIONS . 77.
... the centre ( 179 ) . There would then be three equal straight lines drawn from the same point to the same straight line , which is impossible ( 64 ) . ARCS AND CHORDS . Proposition 1. Theorem . 193. Every BOOK II . - DEFINITIONS . 77.
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The Elements of Plane and Solid Geometry: With Numerous Exercises Edward Albert Bowser Uten tilgangsbegrensning - 1891 |
Vanlige uttrykk og setninger
ABCD adjacent angles altitude angles are equal base bisect bisector called centre chord circumference circumscribed coincide common cone of revolution Cons construct cylinder diagonals diameter diedral angle distance divided draw equally distant equivalent EXERCISES exterior angle faces feet Find the area Find the volume frustum given circle given line given point given straight line homologous homologous sides hypotenuse inches intersection isosceles triangle lateral area lateral edges Let ABC meet middle point number of sides parallel parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism produced Proposition Proposition 13 pyramid quadrilateral radii radius ratio rectangle rectangular parallelopiped regular inscribed regular polygon right angles segment similar slant height sphere spherical polygon spherical triangle square surface symmetrical tangent tetraedron Theorem triangle ABC triangular prism triedral vertex
Populære avsnitt
Side 74 - A circle is a plane figure bounded by a curved line, called the circumference, every point of which is equally distant from a point within called the center.
Side 188 - Two triangles having an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles.
Side 45 - If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Hyp. In A ABC and A'B'C' AB = A'B'; AC = A'C'; ZA>ZA'.
Side 137 - Terms of the proportion. The first and fourth terms are called the Extremes, and the second and third the Means.
Side 12 - AXIOMS. 1. Things which are equal to the same thing are equal to each other. 2. If equals be added to equals, the sums will be equal.
Side 206 - To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square on the other part.
Side 97 - BAC, inscribed in a segment greater than a semicircle, is an acute angle ; for it is measured by half of the arc BOC, less than a semicircumference.
Side 334 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Side 12 - LET it be granted that a straight line may be drawn from any one point to any other point.
Side 253 - Equal oblique lines from a point to a plane meet the plane at equal distances from the foot of the perpendicular ; and of two unequal oblique lines the greater meets the plane at the greater distance from the foot of the perpendicular.