Elements of geometry and mensurationLongman, Brown, Green, and Longmans, 1854 - 192 σελίδες |
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Αποτελέσματα 6 - 10 από τα 100.
Σελίδα 33
... draw CGF parallel to AD or BE , and meeting BDin G ; and through G draw HGK parallel to AB . Then , since BCGK is a parallelogram by construction , its opposite sides are equal to each other , and likewise its op- posite angles ( 40 ) ...
... draw CGF parallel to AD or BE , and meeting BDin G ; and through G draw HGK parallel to AB . Then , since BCGK is a parallelogram by construction , its opposite sides are equal to each other , and likewise its op- posite angles ( 40 ) ...
Σελίδα 40
... draw CD at right angles to AB . Then the centre of the circle is some- where in the line CD ( 49 ) . Again take two other points E , F in the circumference ; join EF ; bisect EF in G ; B and draw GH at right angles to EF , intersecting ...
... draw CD at right angles to AB . Then the centre of the circle is some- where in the line CD ( 49 ) . Again take two other points E , F in the circumference ; join EF ; bisect EF in G ; B and draw GH at right angles to EF , intersecting ...
Σελίδα 41
... draw DF at right angles to AB ; and from E draw EG at right angles to BC , intersecting DF in 0 ; with centre ✪ and ra- dius OA describe a circle , and its circumference shall pass through A , B , and C. Join AO , BO , CO ; then in the ...
... draw DF at right angles to AB ; and from E draw EG at right angles to BC , intersecting DF in 0 ; with centre ✪ and ra- dius OA describe a circle , and its circumference shall pass through A , B , and C. Join AO , BO , CO ; then in the ...
Σελίδα 45
... draw a tangent to a given circle through a given point A in its circumference , find O the centre of the circle , join OA , and draw AB at right angles to OA from the point A ; AB is the tangent re- quired . COR . 3. Hence , also , if a ...
... draw a tangent to a given circle through a given point A in its circumference , find O the centre of the circle , join OA , and draw AB at right angles to OA from the point A ; AB is the tangent re- quired . COR . 3. Hence , also , if a ...
Σελίδα 51
... draw a chord which shall be both equal and parallel to a given chord in the same circle . ( 13 ) If an arc or a segment of a circle be given , complete the circle . ( 14 ) Through a given point within a given circle draw the least chord ...
... draw a chord which shall be both equal and parallel to a given chord in the same circle . ( 13 ) If an arc or a segment of a circle be given , complete the circle . ( 14 ) Through a given point within a given circle draw the least chord ...
Άλλες εκδόσεις - Προβολή όλων
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.