Elements of geometry and mensurationLongman, Brown, Green, and Longmans, 1854 - 192 σελίδες |
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Αποτελέσματα 1 - 5 από τα 100.
Σελίδα 17
... join the points D , and E , by the straight line DE , and upon DE describe the equilate- A E B * EUCLID does not seem to have considered this sufficiently evident , and therefore proves it by the process , usually called reductio ad ab ...
... join the points D , and E , by the straight line DE , and upon DE describe the equilate- A E B * EUCLID does not seem to have considered this sufficiently evident , and therefore proves it by the process , usually called reductio ad ab ...
Σελίδα 18
Thomas Lund. ral triangle DEF ( 23 ) ; then join AF , and the angle BAC is bisected by the line AF . For , since D and E are points in the circumference of the same circle whose centre is A , AD = AE ; and since DEF is an equilateral ...
Thomas Lund. ral triangle DEF ( 23 ) ; then join AF , and the angle BAC is bisected by the line AF . For , since D and E are points in the circumference of the same circle whose centre is A , AD = AE ; and since DEF is an equilateral ...
Σελίδα 22
... join BE , produce it to F , making EF equal to EB B D ( by describing a circle with centre E and radius EB to cut BE produced in F ) , and join CF. Then in the triangles AEB , CEF , AE , EB are equal to CE , EF , each to each , by ...
... join BE , produce it to F , making EF equal to EB B D ( by describing a circle with centre E and radius EB to cut BE produced in F ) , and join CF. Then in the triangles AEB , CEF , AE , EB are equal to CE , EF , each to each , by ...
Σελίδα 24
... joins two pa- rallel straight lines , and is at right angles to each of them , is the shortest line which can be drawn from one to the other . Let AB , CD be ... join CD ; bi- A D sect CD in the point E ( 27 ) ; 24 GEOMETRY AS A SCIENCE .
... joins two pa- rallel straight lines , and is at right angles to each of them , is the shortest line which can be drawn from one to the other . Let AB , CD be ... join CD ; bi- A D sect CD in the point E ( 27 ) ; 24 GEOMETRY AS A SCIENCE .
Σελίδα 26
... joining any two points is less than any crooked line joining the same points , the following proof may be given : ] Let ... join BD . Then , since CB = CD , LCBD = = < CDB ( 26 ) ; but ABD is greater than ‹ CBD , .. 4 ABD is greater than ...
... joining any two points is less than any crooked line joining the same points , the following proof may be given : ] Let ... join BD . Then , since CB = CD , LCBD = = < CDB ( 26 ) ; but ABD is greater than ‹ CBD , .. 4 ABD is greater than ...
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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.