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 TrignonometryBell & Bradfute, 1875 - 257 sider |
Inni boken
Resultat 1-5 av 90
Side 2
... greater than a right angle . IX . An acute angle is that which is less than a right angle . X. A figure is that which is enclosed by one or more boundaries . The space contained within a figure is called the Area of the Figure . XI . A ...
... greater than a right angle . IX . An acute angle is that which is less than a right angle . X. A figure is that which is enclosed by one or more boundaries . The space contained within a figure is called the Area of the Figure . XI . A ...
Side 4
... greater than its part . X. All right angles are equal to one another . XI . Two straight lines which intersect one another , cannot be both parallel to the same straight line . PROPOSITION I. PROBLEM . To describe an equilateral ...
... greater than its part . X. All right angles are equal to one another . XI . Two straight lines which intersect one another , cannot be both parallel to the same straight line . PROPOSITION I. PROBLEM . To describe an equilateral ...
Side 5
... greater . It is re- quired to cut off from AB , the greater , a part equal to C , the less . C E В F From the point A draw ( I. 2 ) the straight line AD equal to C ; and from the centre A , and at the distance AD , describe ( Post . 3 ) ...
... greater . It is re- quired to cut off from AB , the greater , a part equal to C , the less . C E В F From the point A draw ( I. 2 ) the straight line AD equal to C ; and from the centre A , and at the distance AD , describe ( Post . 3 ) ...
Side 7
... greater than the other : Let AB be the greater , and from it cut ( I. 3 ) off DB equal to AC the less , and join DC ; therefore , because in the triangles DBC , ACB , DB is equal to AC , and BC common to both , the two sides DB , BC are ...
... greater than the other : Let AB be the greater , and from it cut ( I. 3 ) off DB equal to AC the less , and join DC ; therefore , because in the triangles DBC , ACB , DB is equal to AC , and BC common to both , the two sides DB , BC are ...
Side 8
... greater than the angle BCD ( Ax . 9 ) ; wherefore the angle FDC is likewise greater than BCD ; much more than is the angle BDC greater B than the angle BCD . Again , because CB is equal to DB , the angle BDC is equal ( 1. 5 ) to the ...
... greater than the angle BCD ( Ax . 9 ) ; wherefore the angle FDC is likewise greater than BCD ; much more than is the angle BDC greater B than the angle BCD . Again , because CB is equal to DB , the angle BDC is equal ( 1. 5 ) to the ...
Andre utgaver - Vis alle
Elements of Geometry; Containing the First Six Books of Euclid, With Two ... John 1748-1819 Playfair Ingen forhåndsvisning tilgjengelig - 2021 |
Vanlige uttrykk og setninger
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore given circle given point given straight line hypotenuse inscribed less Let ABC Let the straight meet multiple opposite angle parallel parallelogram perpendicular plane polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius rectangle contained rectilineal figure remaining angle right angles segment semicircle similar sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC straight line drawn tangent THEOR third three straight lines touches the circle triangle ABC triangle DEF wherefore