An Elementary Course of Plane GeometryThomas Murray, 1870 - 16 σελίδες |
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Σελίδα 199
... pentagon . hexagon . seven 99 " " 22 heptagon . eight 99 99 octagon . 29 decagon . dodecagon . ten twelve It is immaterial whether we name the polygon from the number of its sides or the number of its angles , for it is evident that ...
... pentagon . hexagon . seven 99 " " 22 heptagon . eight 99 99 octagon . 29 decagon . dodecagon . ten twelve It is immaterial whether we name the polygon from the number of its sides or the number of its angles , for it is evident that ...
Σελίδα 200
... pentagon we have 5X2 or five diagonals . 2 The sum of the interior angles of a polygon is equal to as many times two right - angles as there are sides less two . 284. Since we can divide the polygon into as many triangles as there are ...
... pentagon we have 5X2 or five diagonals . 2 The sum of the interior angles of a polygon is equal to as many times two right - angles as there are sides less two . 284. Since we can divide the polygon into as many triangles as there are ...
Σελίδα 209
... pentagon . The same construction gives AC , the side of the regular inscribed pentagon . Fig . 296 . E B This figure may be directly constructed in the following manner : -Draw two diameters A B , O C , perpendicular to each other ( fig ...
... pentagon . The same construction gives AC , the side of the regular inscribed pentagon . Fig . 296 . E B This figure may be directly constructed in the following manner : -Draw two diameters A B , O C , perpendicular to each other ( fig ...
Σελίδα 210
... pentagon ; and so on with the divisions , 8 , 10 , 12 , 15 , 16 , etc. Pass through these perpendiculars a curved line ; the part intercepted upon the perpendicular 7 will be the side of the polygon of seven sides inscribed in the same ...
... pentagon ; and so on with the divisions , 8 , 10 , 12 , 15 , 16 , etc. Pass through these perpendiculars a curved line ; the part intercepted upon the perpendicular 7 will be the side of the polygon of seven sides inscribed in the same ...
Σελίδα 223
... pentagon and one star octagon ; but if we take a regular polygon of seven sides , we obtain a star polygon of seven sides by joining the alternate angles ( fig . 326 ) , or each angle with the third from it ( fig . 327 ) . If we join ...
... pentagon and one star octagon ; but if we take a regular polygon of seven sides , we obtain a star polygon of seven sides by joining the alternate angles ( fig . 326 ) , or each angle with the third from it ( fig . 327 ) . If we join ...
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.