Elements of geometry and mensurationLongman, Brown, Green, and Longmans, 1854 - 192 páginas |
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Página 7
... 1 4 3 ( 2 ) An oblong , or rectangle , is a parallelogram , which * It will be seen hereafter that no triangle can have more than one right angle . has all its angles right angles , but not all DEFINITIONS AND FIRST PRINCIPLES . 7.
... 1 4 3 ( 2 ) An oblong , or rectangle , is a parallelogram , which * It will be seen hereafter that no triangle can have more than one right angle . has all its angles right angles , but not all DEFINITIONS AND FIRST PRINCIPLES . 7.
Página 32
... rectangle contained by the parts . [ DEF . A rectangle is said to be contained by any two of its adjacent sidest . ] A rectangle has been already defined ( 13 ) as a plane surface in the form of a parallelogram with all its angles right ...
... rectangle contained by the parts . [ DEF . A rectangle is said to be contained by any two of its adjacent sidest . ] A rectangle has been already defined ( 13 ) as a plane surface in the form of a parallelogram with all its angles right ...
Página 33
... rectangle AC , CB + . ( 40 ) , and since each of the angles of a rectangle is always a right angle , two adjacent sides alone will obviously serve to fix any rect- angle ; and hence it is , that the rectangle is said to be ' contained ...
... rectangle AC , CB + . ( 40 ) , and since each of the angles of a rectangle is always a right angle , two adjacent sides alone will obviously serve to fix any rect- angle ; and hence it is , that the rectangle is said to be ' contained ...
Página 34
... rectangle , and EFGK , which is also a rectangle . Add to each of these equals the square BCGK , and then the rectangle ABKH = the rectangle EBCF ; .. ABKH + EBCF twice the rectangle ABKH = twice the rect- angle contained by AB , BC ...
... rectangle , and EFGK , which is also a rectangle . Add to each of these equals the square BCGK , and then the rectangle ABKH = the rectangle EBCF ; .. ABKH + EBCF twice the rectangle ABKH = twice the rect- angle contained by AB , BC ...
Página 35
... rectangle BC , CD . For the square of BD = the square of BC + the square of CD + twice the rectangle BC , CD ( 44 ) . Add to these equals the square of AD ; then the square of BD + square of AD = of AD B C D square of BC + square of CD ...
... rectangle BC , CD . For the square of BD = the square of BC + the square of CD + twice the rectangle BC , CD ( 44 ) . Add to these equals the square of AD ; then the square of BD + square of AD = of AD B C D square of BC + square of CD ...
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Términos y frases comunes
ABCDEF acres base bisect breadth centre chain chord circular circum circumference circumscribing circle compasses construction contained continued fraction curved decimal Diagonal Scale diagram diameter distance divided draw drawn edge equilateral triangle find the area find the length fraction frustum given angle given circle given line given point given straight line given triangle half height Hence hexagon inscribed instrument intersecting join Let ABCD lineal unit magnitude meet multiplied number of equal number of sides number of units opposite angle parallelogram perimeter perpendicular plane surface plot points of division PROB produced PROP proportional Protractor radii radius ratio rectangle rectangular regular polygon represent right angles shew shewn similar similar triangles square feet square foot square inches straight edge subtends suppose trapezium triangle ABC 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 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 32 - If the square described upon one of the sides of a triangle, be equal to the squares described upon the other two sides of it; the angle contained by these two sides is a right angle.
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 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 192 - 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 126 - 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.