Elements of Geometry: Containing the First Six Books of Euclid: With a Supplement ... to which are Added, Elements of Plane and Sphericale Trigonometry ... From the Last London Ed., EnlJ.B. Lippincott & Company, 1866 - 317 Seiten |
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Seite 4
... given , from which the properties of proportionals can be deduced by reasonings , which , at the same time that they ... straight line . A new axiom is also introduced in the room of the 12th , for the purpose of demonstrating more easily ...
... given , from which the properties of proportionals can be deduced by reasonings , which , at the same time that they ... straight line . A new axiom is also introduced in the room of the 12th , for the purpose of demonstrating more easily ...
Seite 6
... A Problem is a proposition or a question proposed , which requires a so- lution . . As , to draw one line perpendicular to another ; or to divide a line into two equal parts . 9. Solution of a problem is the resolution or answer given to it ...
... A Problem is a proposition or a question proposed , which requires a so- lution . . As , to draw one line perpendicular to another ; or to divide a line into two equal parts . 9. Solution of a problem is the resolution or answer given to it ...
Seite 12
... a given finite straight line . Let AB be the given straight line ; it is required to describe an equi . lateral triangle upon it . From the centre A , at the dis- tance AB , describe ( 3. Postulate ) the circle BCD , and from the cen ...
... a given finite straight line . Let AB be the given straight line ; it is required to describe an equi . lateral triangle upon it . From the centre A , at the dis- tance AB , describe ( 3. Postulate ) the circle BCD , and from the cen ...
Seite 13
... straight line AL is equal to BC . Wherefore , from the given point A , a straight line AL has been drawn equal to the given straight line BC . PROP . III . PROB . From the greater of two given straight lines to cut of a part equal to ...
... straight line AL is equal to BC . Wherefore , from the given point A , a straight line AL has been drawn equal to the given straight line BC . PROP . III . PROB . From the greater of two given straight lines to cut of a part equal to ...
Seite 17
... given rectilineal angle , that is , to divide it into two equal angles A Let ... straight line AF bisects the angle BAC . Because AD is equal to AE , and AF ... given rectilineal angle BAC is bisect- ad by the straight line AF . SCHOLIUM ...
... given rectilineal angle , that is , to divide it into two equal angles A Let ... straight line AF bisects the angle BAC . Because AD is equal to AE , and AF ... given rectilineal angle BAC is bisect- ad by the straight line AF . SCHOLIUM ...
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Häufige Begriffe und Wortgruppen
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal 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 PROB PROP proportional proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore