An Elementary Course of Plane GeometryThomas Murray, 1870 - 16 σελίδες |
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Σελίδα ix
... Centre , Radius , Diameter . - Construc- tion of Circles . - Sliding Gauge . - Arcs . - Degrees , Minutes , and Seconds . Ratios of Magnitudes . - Chords . - Propositions on equal Circles . - Calibers . - Semicircle . - Quadrant ...
... Centre , Radius , Diameter . - Construc- tion of Circles . - Sliding Gauge . - Arcs . - Degrees , Minutes , and Seconds . Ratios of Magnitudes . - Chords . - Propositions on equal Circles . - Calibers . - Semicircle . - Quadrant ...
Σελίδα 25
... centre are all of the same length ; that is , all radii in the same circle are equal . Two circumferences having the ... centres co- Plane Geometry . 25.
... centre are all of the same length ; that is , all radii in the same circle are equal . Two circumferences having the ... centres co- Plane Geometry . 25.
Σελίδα 26
... centre ; in other words , two circumferences having the same radius are equal . The two ends of a cask or of a round ... centre are known . 45. Take a pair of compasses , and separate the points by a distance equal to the given radius ...
... centre ; in other words , two circumferences having the same radius are equal . The two ends of a cask or of a round ... centre are known . 45. Take a pair of compasses , and separate the points by a distance equal to the given radius ...
Σελίδα 27
... centre o , describes the circle . Fig . 41 . 46. If a circle described upon a sheet of paper be cut out by a thin blade , the circumference of the part taken away is equal to the corresponding circumference of the part left . If the ...
... centre o , describes the circle . Fig . 41 . 46. If a circle described upon a sheet of paper be cut out by a thin blade , the circumference of the part taken away is equal to the corresponding circumference of the part left . If the ...
Σελίδα 29
... centre , but radii of different lengths ( fig . 44 ) . If , after having divided one of them into equal parts , A B C D etc. , the points of division are B joined to the centre , we shall A obtain upon the inner circum- ference the same ...
... centre , but radii of different lengths ( fig . 44 ) . If , after having divided one of them into equal parts , A B C D etc. , the points of division are B joined to the centre , we shall A obtain upon the inner circum- ference the same ...
Άλλες εκδόσεις - Προβολή όλων
An Elementary Course of Plane Geometry and Mensuration Richard Wormell Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
A B C adjacent angles alternate angles angle equal angular points apex base bisect centre centre of symmetry chord circumscribed coincide construction contained cumference decagon describe a circle diagonals diameter dicular distance divide dodecagon draw a straight equal arcs equal circles equilateral triangle extremities figure Find the area Geometry given angle given circle given point given polygon given radius given straight line greater half height Hence hexagon hypothenuse inscribed inscribed angle instrument interior angles isosceles triangle length line drawn line joining line parallel measure middle point number of sides opposite angles opposite sides parallel straight lines parallelogram pentagon perimeter perpen perpendicular plane Plane Geometry point of contact point of intersection proportional protractor Prove quadrilateral radii ratio rectangle regular polygon respectively equal rhombus right-angled triangle ruler secant segments similar square symmetrical axis tangent vertical
Δημοφιλή αποσπάσματα
Σελίδα 33 - Any two sides of a triangle are together greater than the third side.
Σελίδα 266 - IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square of the line which touches it.
Σελίδα vi - In my own time," says Seneca, "there have been inventions of this sort, transparent windows, tubes for diffusing warmth equally through all parts of a building, short-hand, which has been carried to such a perfection that a writer can keep pace with the most rapid speaker. But the inventing of such things is drudgery for the lowest slaves; philosophy lies deeper. It is not her office to teach men how to use their hands.
Σελίδα 59 - 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.
Σελίδα 146 - If from a point without a circle a tangent and a secant be drawn, the tangent is a mean proportional between the whole secant and its external segment.
Σελίδα 153 - Describe a circle which shall pass through two given points, and have its centre in a given line.
Σελίδα 68 - If two parallel lines are cut by a third straight line, the sum of the two interior angles on the same side of the transversal is equal to two right angles, (p.
Σελίδα 86 - If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the two parts.
Σελίδα 264 - To prove that the exterior angle of a triangle is equal to the sum of the two interior opposite angles (see fig.
Σελίδα 11 - I., 5), (3) that, if two straight lines cut one another, the vertically opposite angles are equal (Eucl.