An Elementary Course of Plane GeometryThomas Murray, 1870 - 16 σελίδες |
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Σελίδα 11
... produced they form another angle , which has the same vertex , but is on the opposite side of it . This angle is therefore said to be vertically opposite to the first . When two straight lines cut one another , the vertically opposite ...
... produced they form another angle , which has the same vertex , but is on the opposite side of it . This angle is therefore said to be vertically opposite to the first . When two straight lines cut one another , the vertically opposite ...
Σελίδα 44
... produce it to C , making 6C equal to ab ; join CA : it will be the perpendicular re- quired ( fig . 65 ) . Examples of symmetrical triangles . 80. Architects in designing buildings usually en- deavour to make the parts symmetrical , so ...
... produce it to C , making 6C equal to ab ; join CA : it will be the perpendicular re- quired ( fig . 65 ) . Examples of symmetrical triangles . 80. Architects in designing buildings usually en- deavour to make the parts symmetrical , so ...
Σελίδα 47
... produce the sides , and mark off on one of them a line A C , equal to one of the given sides , and with C as centre and the other side as radius , describe an arc cutting the se- cond side of the angle . When C is A B ' Fig . 74 . E ...
... produce the sides , and mark off on one of them a line A C , equal to one of the given sides , and with C as centre and the other side as radius , describe an arc cutting the se- cond side of the angle . When C is A B ' Fig . 74 . E ...
Σελίδα 51
... produced , are called parallel lines ( fig . 80 ) . Such would be two lines drawn on writing paper along the edges of a ruler . It is of course impossible so to produce two parallel straight с lines E 2 Plane Geometry . 51.
... produced , are called parallel lines ( fig . 80 ) . Such would be two lines drawn on writing paper along the edges of a ruler . It is of course impossible so to produce two parallel straight с lines E 2 Plane Geometry . 51.
Σελίδα 52
Richard Wormell. course impossible so to produce two parallel straight с lines as to be sure they will D never meet ; but we shall deduce B Fig . 80 . from the above definition , other tests of parallelism which will be applicable . Two ...
Richard Wormell. course impossible so to produce two parallel straight с lines as to be sure they will D never meet ; but we shall deduce B Fig . 80 . from the above definition , other tests of parallelism which will be applicable . Two ...
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.