Elements of Geometry;: Containing the First Six Books of Euclid, with Two Books on the Geometry of Solids. To which are Added, Elements of Plane and Spherical TrigonometryBell & Bradfute, and G. G. & J. Robinson, London., 1795 - 400 páginas |
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Página xiii
... prove the truth of many fimple propofitions , which every body is ready to admit , without any demonftration , and thus take up the time , and fatigue the attention of the ftudent , to no purpose . To this objection also , if there be ...
... prove the truth of many fimple propofitions , which every body is ready to admit , without any demonftration , and thus take up the time , and fatigue the attention of the ftudent , to no purpose . To this objection also , if there be ...
Página 8
... proved that CA is equal to AB ; therefore CA , CB are each of them equal to AB ; but things which are equal to the fame are d 1. Axi . equal to one another d ; therefore CA is equal to CB ; where- fore CA , AB , BC are equal to one ...
... proved that CA is equal to AB ; therefore CA , CB are each of them equal to AB ; but things which are equal to the fame are d 1. Axi . equal to one another d ; therefore CA is equal to CB ; where- fore CA , AB , BC are equal to one ...
Página 11
... proved to be equal c 3. A to GB , therefore the two fides BF , FC are equal to the two CG , GB , each to each ; but the angle BFC is equal to the angle CGB ; wherefore the triangles BFC , CGB are equal b , and their remaining angles are ...
... proved to be equal c 3. A to GB , therefore the two fides BF , FC are equal to the two CG , GB , each to each ; but the angle BFC is equal to the angle CGB ; wherefore the triangles BFC , CGB are equal b , and their remaining angles are ...
Página 12
... proved that the angle FBC is equal to the angle GCB , which are the angles upon the o- ther fide of the bafe . Therefore the angles at the bafe , & c . Q. E. D. COROLLARY . Hence every equilateral triangle is also equi- angular . I PROP ...
... proved that the angle FBC is equal to the angle GCB , which are the angles upon the o- ther fide of the bafe . Therefore the angles at the bafe , & c . Q. E. D. COROLLARY . Hence every equilateral triangle is also equi- angular . I PROP ...
Página 13
... much more this he ngle BDC greater than the angle BCD . A- gain , because CB is equal to DB , A E F D B the angle BDC is equal a to the angle BED ; but BDC has " 2 been 2 5. 7 Book L. been proved to be greater than the fame OF GEOMETRY .
... much more this he ngle BDC greater than the angle BCD . A- gain , because CB is equal to DB , A E F D B the angle BDC is equal a to the angle BED ; but BDC has " 2 been 2 5. 7 Book L. been proved to be greater than the fame OF GEOMETRY .
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... Formerly Chairman Department of Immunology John Playfair Sin vista previa disponible - 2015 |
Términos y frases comunes
ABCD alfo alſo angle ABC angle ACB angle BAC arch bafe baſe BC is equal becauſe the angle bifected Book VII cafe centre circle ABC circumference co-fine cylinder defcribed demonftrated diameter draw drawn equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle faid fame manner fame plane fame ratio fame reaſon fecond fegment femicircle fhall fhewn fimilar fince firft firſt folid fore fquare of AC ftraight line AB fuch given ftraight line gnomon greater impoffible infcribed interfect join lefs leſs Let ABC line BC magnitudes muſt oppofite angle parallel parallelepiped parallelogram perpendicular polygon prifm propofition proportionals radius rectangle contained rectilineal figure remaining angle right angles ſhall ſpace ſquare tangent thefe THEOR theſe thoſe touches the circle triangle ABC wherefore