An Elementary Course of Plane GeometryThomas Murray, 1870 - 16 páginas |
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Página vii
... gives to many proofs simpli- city and clearness , is frequently employed , as also the method of superposition , which in a number of cases affords a concise and elegant demonstration . The constructions are such only as are practically ...
... gives to many proofs simpli- city and clearness , is frequently employed , as also the method of superposition , which in a number of cases affords a concise and elegant demonstration . The constructions are such only as are practically ...
Página 6
... give the length of the line . A line longer than the scale may be measured by marking off Fig . 12. with the compasses the length of the scale from the line as many times as it is contained therein , and then taking the measure of the ...
... give the length of the line . A line longer than the scale may be measured by marking off Fig . 12. with the compasses the length of the scale from the line as many times as it is contained therein , and then taking the measure of the ...
Página 22
... line lies on the marked line , turn the level round so that the end which was on A is on B. If the instrument be true it will give the same indication as before .. To draw an angle equal to a given angle . 22 Plane Geometry .
... line lies on the marked line , turn the level round so that the end which was on A is on B. If the instrument be true it will give the same indication as before .. To draw an angle equal to a given angle . 22 Plane Geometry .
Página 29
... divide 1,296,000 by 10,125 ; the division gives the quotient 128 " and no remainder . And so an arc of 2 ° 48 ′ 45 ′′ would be contained 128 times in the cir- cumference . If the arc be given in degrees , it is Plane Geometry . 29.
... divide 1,296,000 by 10,125 ; the division gives the quotient 128 " and no remainder . And so an arc of 2 ° 48 ′ 45 ′′ would be contained 128 times in the cir- cumference . If the arc be given in degrees , it is Plane Geometry . 29.
Página 33
... give the dia- meter . In order that the washer may be a true circle , all its diameters must be equal ; this may be tested by causing the washer to pass between the legs of the compasses in various directions . The same instrument is ...
... give the dia- meter . In order that the washer may be a true circle , all its diameters must be equal ; this may be tested by causing the washer to pass between the legs of the compasses in various directions . The same instrument is ...
Otras ediciones - Ver todas
An Elementary Course of Plane Geometry and Mensuration Richard Wormell Sin vista previa disponible - 2015 |
Términos y frases comunes
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
Pasajes populares
Página 33 - Any two sides of a triangle are together greater than the third side.
Página 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.
Página 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.
Página 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.
Página 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.
Página 153 - Describe a circle which shall pass through two given points, and have its centre in a given line.
Página 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.
Página 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.
Página 264 - To prove that the exterior angle of a triangle is equal to the sum of the two interior opposite angles (see fig.
Página 11 - I., 5), (3) that, if two straight lines cut one another, the vertically opposite angles are equal (Eucl.