An Elementary Course of Plane GeometryThomas Murray, 1870 - 16 σελίδες |
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Σελίδα vii
... problems for solution . By means of this plan the study of Geo- metry may be commenced at a much earlier age than has hitherto been possible . The conception of moving points and lines , which gives to many proofs simpli- city and ...
... problems for solution . By means of this plan the study of Geo- metry may be commenced at a much earlier age than has hitherto been possible . The conception of moving points and lines , which gives to many proofs simpli- city and ...
Σελίδα viii
... problems have been added , together with new woodcuts wherever necessary , a recapitulation of the principal enunciations of Plane Geometry and Mensuration , and an extended index . To save the time of teachers , the author has prepared ...
... problems have been added , together with new woodcuts wherever necessary , a recapitulation of the principal enunciations of Plane Geometry and Mensuration , and an extended index . To save the time of teachers , the author has prepared ...
Σελίδα x
... Problems on Circles by aid of Tangents . CHAP . X. - Combinations of Circles . Concentric Circumferences . - Construction and Properties of Circles touching or cutting one another . - Inscription and Description of equal Circles ...
... Problems on Circles by aid of Tangents . CHAP . X. - Combinations of Circles . Concentric Circumferences . - Construction and Properties of Circles touching or cutting one another . - Inscription and Description of equal Circles ...
Σελίδα 24
... Problems . 1. If two straight lines intersect . and one of the angles formed is a right angle , so are the other three . 2. The bisectors of the two adjacent angles which one straight line makes with another are at right - angles . 3 ...
... Problems . 1. If two straight lines intersect . and one of the angles formed is a right angle , so are the other three . 2. The bisectors of the two adjacent angles which one straight line makes with another are at right - angles . 3 ...
Σελίδα 40
... Problems and Theorems . I. Prove that points equally distant from two given straight lines , lie on the bisector of the angle between them . 2. Find a point in a given straight line at the same distance from two other straight lines . 3 ...
... Problems and Theorems . I. Prove that points equally distant from two given straight lines , lie on the bisector of the angle between them . 2. Find a point in a given straight line at the same distance from two other straight lines . 3 ...
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 angle applied axis base bisect called centre chord circumference coincide compasses construction contained corresponding describe describe a circle determine diagonals diameter difference direction distance divide division draw drawn equal equilateral triangle equivalent evident example extremities fall figure Find the area fixed formed four Geometry give given circle given point given straight line greater half height Hence hexagon hypothenuse included inscribed intersection isosceles join length less mark means measure meet method middle point number of sides obtained opposite sides parallel parallelogram pass pentagon perpendicular placed plane position problem produced proportional Prove radii radius ratio rectangle regular polygon represents respectively right-angles round ruler segments sides similar square star Suppose surface symmetrical tangent termed third touch triangle twice unit vertical whole yard
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.