Elements of geometry and mensurationLongman, Brown, Green, and Longmans, 1854 - 192 σελίδες |
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Αποτελέσματα 1 - 5 από τα 68.
Σελίδα 17
... bisect a given angle , that is , to divide it into two equal angles . Let BAC be the given angle ; it is required to bisect it . In AB take any point D , and with centre A and radius AD describe an arc of a circle cutting AC in the ...
... bisect a given angle , that is , to divide it into two equal angles . Let BAC be the given angle ; it is required to bisect it . In AB take any point D , and with centre A and radius AD describe an arc of a circle cutting AC in the ...
Σελίδα 18
... Bisect the angle BAC by the straight line AD ( 25 ) , D being the point where AD meets the base BC . Then , since AB AC , and BAD = 2 = CAD , we have two tri- angles ABD , ACD , in which the two sides BA , AD are equal to the two sides ...
... Bisect the angle BAC by the straight line AD ( 25 ) , D being the point where AD meets the base BC . Then , since AB AC , and BAD = 2 = CAD , we have two tri- angles ABD , ACD , in which the two sides BA , AD are equal to the two sides ...
Σελίδα 20
... bisect meeting AB in G. Then CG shall AB . ECF by the line CG , be perpendicular to 4 For CE CF ( 16 ) , and ≤ ECG = FCG , by construc- tion , .. in the triangles ECG , FCG , EC , CG are equal to FC , CG , each to each , and ECG = FCG ...
... bisect meeting AB in G. Then CG shall AB . ECF by the line CG , be perpendicular to 4 For CE CF ( 16 ) , and ≤ ECG = FCG , by construc- tion , .. in the triangles ECG , FCG , EC , CG are equal to FC , CG , each to each , and ECG = FCG ...
Σελίδα 22
... Bisect the side AC in the point E ( 27 ) , join BE , produce it to F , making EF equal to EBB D ( by describing a ... bisecting BC in G , joining AG , and proceeding as before , that ACD is greater than ABC . 33. PROP . XI . The greater ...
... Bisect the side AC in the point E ( 27 ) , join BE , produce it to F , making EF equal to EBB D ( by describing a ... bisecting BC in G , joining AG , and proceeding as before , that ACD is greater than ABC . 33. PROP . XI . The greater ...
Σελίδα 28
... bisect each other . Join AD , and let BC , AD , intersect in E ; then , since ABE = △ DCE , and △ BAE = △ CDE , and side AB = side CD , the triangles ABE , CDE , are equal in all respects ( 39 ) ; side AE = side DE . Similarly it may ...
... bisect each other . Join AD , and let BC , AD , intersect in E ; then , since ABE = △ DCE , and △ BAE = △ CDE , and side AB = side CD , the triangles ABE , CDE , are equal in all respects ( 39 ) ; side AE = side DE . Similarly it may ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD acres base bisect called centre chord circle circular circumference circumscribed compasses construction contained convenient curved describe diagonal diagram diameter difference distance divided division draw drawn edge equal exactly example expressed feet figure find the area fixed foot former four fraction given given circle given point given straight line greater ground half height Hence inches inscribed intersecting join length less magnitude marked means measure meet method nearly observed obtained opposite parallel parallelogram pass perimeter perpendicular placed plane plot portion PROB produced PROP proportional proposed radius ratio rectangle regular polygon remaining represent respectively result right angles scale shew shewn sides similar smaller square straight line subtends suppose surface taken taking triangle unit 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.