Elements of Geometry and Mensuration: With Easy Exercises, Designed for Schools and Adult ClassesLongman, 1859 - 362 páginas |
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Página 1
... measure is within the province of Geometry ; but to determine what will become of the water , if a fire be placed ... measuring ' ; and is supposed to have had its origin in the necessity of re - arranging the fences or other land ...
... measure is within the province of Geometry ; but to determine what will become of the water , if a fire be placed ... measuring ' ; and is supposed to have had its origin in the necessity of re - arranging the fences or other land ...
Página 2
... measurements of various kinds ; and hence is required a sort of geometrical language in the first onset , which must be learnt from the following Definitions : - 3. We measure a distance by a ' line ' ; so that a line will represent any ...
... measurements of various kinds ; and hence is required a sort of geometrical language in the first onset , which must be learnt from the following Definitions : - 3. We measure a distance by a ' line ' ; so that a line will represent any ...
Página 3
... measure its girth . In speaking of points we distinguish one from ano- ther by using the letters of the alphabet to mark their position ; and so also with regard to lines to mark either their position or extent , or both . A single ...
... measure its girth . In speaking of points we distinguish one from ano- ther by using the letters of the alphabet to mark their position ; and so also with regard to lines to mark either their position or extent , or both . A single ...
Página 4
... measure of the inclination of the one line to the other ; but how that measure is taken does not concern us at present to know . All that is here required is to know how to compare one angle with another , viz .: ( 1 ) That the angle ...
... measure of the inclination of the one line to the other ; but how that measure is taken does not concern us at present to know . All that is here required is to know how to compare one angle with another , viz .: ( 1 ) That the angle ...
Página 53
... measure of the ratio between any two magnitudes is , ( not their difference , but ) the number of times the one contains , or is contained in , the other . Thus , if the line AB , upon being multiplied three times ( 22 ) , becomes equal ...
... measure of the ratio between any two magnitudes is , ( not their difference , but ) the number of times the one contains , or is contained in , the other . Thus , if the line AB , upon being multiplied three times ( 22 ) , becomes equal ...
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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.