Elements of geometry and mensurationLongman, Brown, Green, and Longmans, 1854 - 192 σελίδες |
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Αποτελέσματα 1 - 5 από τα 63.
Σελίδα 9
... portion of the circumference . It may be observed here , that although two letters are sufficient to express a straight line , three or more are generally required for a curved line ; and for an obvious reason , because between any two ...
... portion of the circumference . It may be observed here , that although two letters are sufficient to express a straight line , three or more are generally required for a curved line ; and for an obvious reason , because between any two ...
Σελίδα 15
... portion of a mag- nitude is greater than the whole . If then the supposition that A and B are unequal legitimately leads to such a conclusion , it is plain that that supposition cannot stand ; and therefore the only alternative is that ...
... portion of a mag- nitude is greater than the whole . If then the supposition that A and B are unequal legitimately leads to such a conclusion , it is plain that that supposition cannot stand ; and therefore the only alternative is that ...
Σελίδα 16
... portion of the circumference of a circle on that side of AB on which the triangle is required ; with the same radius and with centre B trace another portion of the circumference of a circle on the same side of AB , and intersecting the ...
... portion of the circumference of a circle on that side of AB on which the triangle is required ; with the same radius and with centre B trace another portion of the circumference of a circle on the same side of AB , and intersecting the ...
Σελίδα 39
... portion of a circle bounded by an arc and its chord . A sector of a circle is a portion of a circle bounded by an arc and two radii drawn to the two extremities of the arc . B Thus , in the annexed fig . the curved line from A to B is ...
... portion of a circle bounded by an arc and its chord . A sector of a circle is a portion of a circle bounded by an arc and two radii drawn to the two extremities of the arc . B Thus , in the annexed fig . the curved line from A to B is ...
Σελίδα 42
... portion of the circumference . Join AO , BO , AC , BC ; then AOB , which the arc AB subtends at O , shall be double of which it subtends at C. ACB Join CO , and produce it to meet the circumference in D ; then since OA = OC , < OAC ...
... portion of the circumference . Join AO , BO , AC , BC ; then AOB , which the arc AB subtends at O , shall be double of which it subtends at C. ACB Join CO , and produce it to meet the circumference in D ; then since OA = OC , < OAC ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 19 - To draw a straight line at right angles to a given straight line, from a given point in the same.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 126 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Σελίδα 20 - To draw a straight line perpendicular to a given straight line of an unlimited length, from a given point without it.