Elements of Geometry: Being Chiefly a Selection from Playfair's GeometryA. Walker, 1829 - 186 Seiten |
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Seite 15
... problem . The words in which a proposition is expressed are called the enunciation of the proposition . A theorem is something which is proposed to be demon- strated ; or , it is a truth which becomes evident by means of a train of ...
... problem . The words in which a proposition is expressed are called the enunciation of the proposition . A theorem is something which is proposed to be demon- strated ; or , it is a truth which becomes evident by means of a train of ...
Seite 21
... Lotiunor eaw dom 143 11 2012090 17 olga psismiliigiza wash or trialy novim be and gan navigs Treglede hevig a herd og oft od 2 sl wain ng lol si no PROPOSITION I. PROBLEM . To describe an equilateral triangle on. GEOMETRY . 21 BOOK I.
... Lotiunor eaw dom 143 11 2012090 17 olga psismiliigiza wash or trialy novim be and gan navigs Treglede hevig a herd og oft od 2 sl wain ng lol si no PROPOSITION I. PROBLEM . To describe an equilateral triangle on. GEOMETRY . 21 BOOK I.
Seite 22
... PROBLEM . From a given point to draw a straight line equal to a given straight line . Let A be the given point , and BC the given straight line ; it is required to draw from A a straight line equal to BC . * This demonstration is full ...
... PROBLEM . From a given point to draw a straight line equal to a given straight line . Let A be the given point , and BC the given straight line ; it is required to draw from A a straight line equal to BC . * This demonstration is full ...
Seite 23
... PROBLEM . From the greater of two given straight lines to cut off a part equal to the less . Let AB and C be two given straight lines , whereof AB is the greater . It is required to cut off from AB a part equal to C. From the point A ...
... PROBLEM . From the greater of two given straight lines to cut off a part equal to the less . Let AB and C be two given straight lines , whereof AB is the greater . It is required to cut off from AB a part equal to C. From the point A ...
Seite 29
... angle BAC is equal to EDF . Hence the triangles ABC , DEF are equal in all re- spects ( 4. 1. ) . Wherefore , if two triangles & c . Q. E. D. PROPOSITION IX . PROBLEM . To bisect a given rectilineal GEOMETRY . 29 BOOK I.
... angle BAC is equal to EDF . Hence the triangles ABC , DEF are equal in all re- spects ( 4. 1. ) . Wherefore , if two triangles & c . Q. E. D. PROPOSITION IX . PROBLEM . To bisect a given rectilineal GEOMETRY . 29 BOOK I.
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Elements of Geometry: Being Chiefly a Selection From Playfair's Geometry John Playfair Keine Leseprobe verfügbar - 2023 |
Elements of Geometry: Being Chiefly a Selection From Playfair's Geometry John Playfair Keine Leseprobe verfügbar - 2023 |
Häufige Begriffe und Wortgruppen
ABC is equal ABCD alternate angles angle ABC angle ACB angle BAC angles AGH angles equal base ABC bases and altitudes bisect centre chord circumference cone Consequently cylinder demonstrations described diagonals diameter divided draw equal angles equal arches equal bases equal circles equal to AC equiangular Euclid's Euclid's Elements exterior angle fore four quantities four right angles geometry given point given straight line gles greater Hence homologous sides intersect KLMN Let ABC meet opposite angles opposite side paral parallel lines parallel to CD parallelogram parallelopipeds perp perpendicular plane polygon prism Prop pyramid Q. E. D. COR Q. E. D. PROPOSITION radius rectangle contained right angled triangle Scholium segments semicircle side AC similar similar triangles solid square straight line &c subtended tangent THEOREM triangle ABC vertex wherefore
Beliebte Passagen
Seite 36 - Any two sides of a triangle are together greater than the third side.
Seite 80 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
Seite 42 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line...
Seite 30 - To bisect a given finite straight line, that is, to divide it into two equal parts. Let AB be the given straight line : it is required to divide it intotwo equal parts.
Seite 20 - LET it be granted that a straight line may be drawn from any one point to any other point.
Seite 38 - Problem. At a given point in a given straight line to make a rectilineal angle equal to a given rectilineal angle.
Seite 113 - Wherefore also the angle BAD is equal to the angle CAD : Therefore the angle BAC is cut into two equal angles by the straight line AD.
Seite 24 - DE ; the point B shall coincide with the point E, because AB is equal to DE; and AB coinciding with DE, AC shall coincide...
Seite 36 - The greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it.