Elements of Geometry and Mensuration: With Easy Exercises, Designed for Schools and Adult ClassesLongman, 1859 - 362 páginas |
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Página 6
... equal to each other , the triangle is called equilateral , or equal - sided , as in fig . 1 , where 4B = AC = BC * . When two sides only are equal , as in fig . 2 , where AB AC , and BC is unequal , the triangle is called isosceles ...
... equal to each other , the triangle is called equilateral , or equal - sided , as in fig . 1 , where 4B = AC = BC * . When two sides only are equal , as in fig . 2 , where AB AC , and BC is unequal , the triangle is called isosceles ...
Página 11
... equal to one another . But areas may be equal also , when they are not exactly alike , ( as the pages of the same book are , ) but can be made so by a different arrange- ment of the parts of one or both . For it is evident , that this ...
... equal to one another . But areas may be equal also , when they are not exactly alike , ( as the pages of the same book are , ) but can be made so by a different arrange- ment of the parts of one or both . For it is evident , that this ...
Página 14
... equal to two other angles , or to three ? Explain clearly . ( 27 ) Is it possible for a triangle to be equal to a square ? If so , say how . ( 28 ) How many angles are there in a parallelogram ? Is the parallelogram equal to the sum of ...
... equal to two other angles , or to three ? Explain clearly . ( 27 ) Is it possible for a triangle to be equal to a square ? If so , say how . ( 28 ) How many angles are there in a parallelogram ? Is the parallelogram equal to the sum of ...
Página 15
... equal to one another . We argue thus . If A is not equal to B , then A and B must be unequal . Suppose them unequal , and proceeding upon this assumption we arrive , by means of acknow- ledged axioms and legitimate reasoning , at an ...
... equal to one another . We argue thus . If A is not equal to B , then A and B must be unequal . Suppose them unequal , and proceeding upon this assumption we arrive , by means of acknow- ledged axioms and legitimate reasoning , at an ...
Página 16
... equal to one another , they shall also have their bases , or third sides , equal ; and the two triangles shall be equal ; and their other angles shall be equal , each to each , viz . those to which the equal sides are opposite . Let ABC ...
... equal to one another , they shall also have their bases , or third sides , equal ; and the two triangles shall be equal ; and their other angles shall be equal , each to each , viz . those to which the equal sides are opposite . Let ABC ...
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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.