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 5
... greater than a part of it ; or , the whole is equal to all its parts taken together ; or , two quantities that are each of them equal to a third quantity , are equal to each other . E. A Theorem is a demonstrative proposition ; in which ...
... greater than a part of it ; or , the whole is equal to all its parts taken together ; or , two quantities that are each of them equal to a third quantity , are equal to each other . E. A Theorem is a demonstrative proposition ; in which ...
Seite 6
... denoted by B , and is read A equal to B. = 19. To signify that A is greater than B , the expression A7B is used . And to signify that A is less than B , the expression AB is used . · 20. The sign of Addition is an erect cross 6 ELEMENTS.
... denoted by B , and is read A equal to B. = 19. To signify that A is greater than B , the expression A7B is used . And to signify that A is less than B , the expression AB is used . · 20. The sign of Addition is an erect cross 6 ELEMENTS.
Seite 9
... greater than a right angle . 9. An acute angle is that which is less than a right angle . 10. A figure is that which is enclosed by one or more boundaries . - The word area denotes the quantity of space contained in a figure , without ...
... greater than a right angle . 9. An acute angle is that which is less than a right angle . 10. A figure is that which is enclosed by one or more boundaries . - The word area denotes the quantity of space contained in a figure , without ...
Seite 11
... greater than its part . 10. All right angles are equal to one another . 11. " Two straight lines which intersect one another , cannot be both pa " ralle to the same straight line . ” PROPOSITION I. PROBLEM . To describe an equilateral ...
... greater than its part . 10. All right angles are equal to one another . 11. " Two straight lines which intersect one another , cannot be both pa " ralle to the same straight line . ” PROPOSITION I. PROBLEM . To describe an equilateral ...
Seite 13
... greater . It is required to cut off from AB , the greater , a part equal to C , the less . A D E B From the point A draw ( 2. 1. ) the straight line AD equal to C ; and from the centre A , and at the distance AD , describe ( 3. Post ...
... greater . It is required to cut off from AB , the greater , a part equal to C , the less . A D E B From the point A draw ( 2. 1. ) the straight line AD equal to C ; and from the centre A , and at the distance AD , describe ( 3. Post ...
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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