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 TrigonometryW.E. Dean, 1836 - 311 páginas |
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Página 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 ...
Página 9
... BC be equal to the base EF ; and the triangle ABC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal , each to each , viz . the angle ABC to the ... straight lines 2 OF GEOMETRY . BOOK I.
... BC be equal to the base EF ; and the triangle ABC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal , each to each , viz . the angle ABC to the ... straight lines 2 OF GEOMETRY . BOOK I.
Página 12
... line AB , let the two straight lines BC , BD upon the opposite sides of AB , make the adjacent angles ABC , ABD equal together to two right angles . BD is in the same straight line with CB . For if BD be not in the same straight line 12 ...
... line AB , let the two straight lines BC , BD upon the opposite sides of AB , make the adjacent angles ABC , ABD equal together to two right angles . BD is in the same straight line with CB . For if BD be not in the same straight line 12 ...
Página 13
... line with CB , let BE be in the same straight line with it ; therefore , because the straight line AB makes angles ... BC . And in like manner , it may be demonstrated , that no other can be in the same straight line with it but BD ...
... line with CB , let BE be in the same straight line with it ; therefore , because the straight line AB makes angles ... BC . And in like manner , it may be demonstrated , that no other can be in the same straight line with it but BD ...
Página 16
... BC are greater than CA , and BC , CĂ greater than AB . SCHOLIUM . This may be demonstrated without producing any of the sides : thus , the line ... straight lines to a point within the triangle , these two lines shall be less than the other ...
... BC are greater than CA , and BC , CĂ greater than AB . SCHOLIUM . This may be demonstrated without producing any of the sides : thus , the line ... straight lines to a point within the triangle , these two lines shall be less than the other ...
Otras ediciones - Ver todas
Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Vista de fragmentos - 1836 |
Términos y frases comunes
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 draw Prob 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