Elements of Geometry and Mensuration: With Easy Exercises, Designed for Schools and Adult ClassesLongman, 1859 - 362 páginas |
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Página 40
... pass through the centre of the circle . Also , a perpendicular drawn from the centre of a circle to a chord will bisect the chord . 50. PROP . II . To find the centre of a given * circle . Let the annexed fig . be a given circle ; and ...
... pass through the centre of the circle . Also , a perpendicular drawn from the centre of a circle to a chord will bisect the chord . 50. PROP . II . To find the centre of a given * circle . Let the annexed fig . be a given circle ; and ...
Página 41
... pass through three given points . Let A , B , C , be the three given points ; join AB , and BC . Bisect AB in D , and BC in E ; from D draw DF at right angles to AB ; and from E draw EG at right angles to BC , intersecting DF in 0 ...
... pass through three given points . Let A , B , C , be the three given points ; join AB , and BC . Bisect AB in D , and BC in E ; from D draw DF at right angles to AB ; and from E draw EG at right angles to BC , intersecting DF in 0 ...
Página 47
... pass through the centre of the circle . And , conversely , the line drawn from the centre , bisecting the chord , will also bisect the arc . 61. PROP . XIII . Two parallel chords in any THE CIRCLE AND STRAIGHT LINES CONNECTED WITH IT . 47.
... pass through the centre of the circle . And , conversely , the line drawn from the centre , bisecting the chord , will also bisect the arc . 61. PROP . XIII . Two parallel chords in any THE CIRCLE AND STRAIGHT LINES CONNECTED WITH IT . 47.
Página 50
... pass through , 1st , one given point , 2ndly , two given points . ( 10 ) Can more than one circle be drawn whose cir- cumference shall pass through three given points ? ( 11 ) Shew that in particular cases a circle may be drawn with its ...
... pass through , 1st , one given point , 2ndly , two given points . ( 10 ) Can more than one circle be drawn whose cir- cumference shall pass through three given points ? ( 11 ) Shew that in particular cases a circle may be drawn with its ...
Página 51
... passing through four , or a greater number of , given points . Exhibit such a case . ( 12 ) In a given circle draw a chord which shall be both equal and parallel to a given chord in the same circle . ( 13 ) If an arc or a segment of a ...
... passing through four , or a greater number of , given points . Exhibit such a case . ( 12 ) In a given circle draw a chord which shall be both equal and parallel to a given chord in the same circle . ( 13 ) If an arc or a segment of a ...
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Términos y frases comunes
ABCDEF angular points base bisect centre chain chord circular circumference circumscribed circumscribing circle compasses cone construction cubic curved cylinder describe a circle diagonal diameter distance divided draw a straight drawn edge equal angles equal arcs equilateral triangle feet find the area foot frustum given angle given circle given line given point given ratio given straight line given triangle greater height Hence hexagon inches inscribed instrument intersecting length Let ABCD magnitude measure meet number of sides opposite angle parallelogram parallelopiped perimeter perpendicular plane surface points of division prism PROB produced PROP proportional Protractor radii radius rectangle rectangle contained regular polygon right angles ruler scale segment semi-circle shew shewn similar triangles square of AB square of AC subtends suppose tangent trapezium triangle ABC unit vernier vertex whole yards
Pasajes populares
Página 32 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
Página 19 - To draw a straight line at right angles to a given straight line, from a given point in the same.
Página 16 - If two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of one of them greater than the angle contained by the two sides equal to them, of the other ; the base of that which has the greater angle, shall be greater than the base of the other.
Página 43 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Página 27 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Página 17 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Página 22 - Theorem. The greater side of every triangle is opposite to the greater angle. Let ABC be a triangle of which the side AC is greater than the side AB ; the angle ABC is also greater than the angle BCA. Because AC is greater than AB, make...
Página 223 - The circumference of every circle is supposed to be divided into 360 equal parts called degrees, and each degree into 60 equal parts called minutes, and each minute into 60 equal parts called seconds, and these into thirds, fourths, &c.
Página 128 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Página 20 - To draw a straight line perpendicular to a given straight line of an unlimited length, from a given point without it.