Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids; to which are Added, Elements of Plane and Spherical TrigonometryB. & S. Collins; W. E. Dean, printer, 1836 - 311 σελίδες |
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Σελίδα 4
... straight line . " " COR . Hence two straight lines cannot inclose a space . Neither can two 66 straight lines have a common segment ; that is , they cannot coincide " in part , without coinciding altogether . " 4. A superficies is that ...
... straight line . " " COR . Hence two straight lines cannot inclose a space . Neither can two 66 straight lines have a common segment ; that is , they cannot coincide " in part , without coinciding altogether . " 4. A superficies is that ...
Σελίδα 5
... straight line standing on another straight line makes the adjacent angles equal to one another , each of the angles is called a right angle ; and the straight line which stands on the other , is called a perpendicu- lar to it . 8. An ...
... straight line standing on another straight line makes the adjacent angles equal to one another , each of the angles is called a right angle ; and the straight line which stands on the other , is called a perpendicu- lar to it . 8. An ...
Σελίδα 7
... line which joins the vertices of two angles not adjacent to each other . Thus , BC , in the diagram of Theor . 27 ... straight line may be drawn from any one point to any other point . 2. That a terminated straight line may be produced ...
... line which joins the vertices of two angles not adjacent to each other . Thus , BC , in the diagram of Theor . 27 ... straight line may be drawn from any one point to any other point . 2. That a terminated straight line may be produced ...
Σελίδα 12
... straight line DC , is equal to two right angles ; because their sum is equal to that of the two adjacent angles DBA , ABC . PROP . VII . THEOR . If , at a point in a straight line , two other straight lines , upon the opposite sides of ...
... straight line DC , is equal to two right angles ; because their sum is equal to that of the two adjacent angles DBA , ABC . PROP . VII . THEOR . If , at a point in a straight line , two other straight lines , upon the opposite sides of ...
Σελίδα 13
... straight line with CB , let BE be in the same straight line with it ; therefore , because the straight line AB makes angles with the straight line CBE , upon one side of it , the angles ABC , ABE are to- gether equal ( 6. 1. ) to two ...
... straight line with CB , let BE be in the same straight line with it ; therefore , because the straight line AB makes angles with the straight line CBE , upon one side of it , the angles ABC , ABE are to- gether equal ( 6. 1. ) to two ...
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Elements Of Geometry John Playfair,William Wallace,John Davidsons Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
Elements Of Geometry John Playfair,William Wallace,John Davidsons Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
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ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROP proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore