Elements of Geometry: Being Chiefly a Selection from Playfair's GeometryA. Walker, 1829 - 186 sider |
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Side
... demonstrations of others . Some demonstrations which were long and tedious , or difficult to learners , have been rejected , and others have been adopted from modern books instead of them . But no new demonstrations have been given ...
... demonstrations of others . Some demonstrations which were long and tedious , or difficult to learners , have been rejected , and others have been adopted from modern books instead of them . But no new demonstrations have been given ...
Side
... demonstration . Toward the ends of the first , third , and sixth Books there is a number of elementary propositions , which are not necessary in a course of mathematics , and may be either read or omitted . They will serve as exer ...
... demonstration . Toward the ends of the first , third , and sixth Books there is a number of elementary propositions , which are not necessary in a course of mathematics , and may be either read or omitted . They will serve as exer ...
Side 7
... demonstration of the Rule of Three in Arithmetic . 30. Equimultiples of any quantities have the same ratio to one another which the quantities have ; and like parts of any quantities have the same ratio to one another which the ...
... demonstration of the Rule of Three in Arithmetic . 30. Equimultiples of any quantities have the same ratio to one another which the quantities have ; and like parts of any quantities have the same ratio to one another which the ...
Side 15
... demonstration . A problem is something which is proposed to be done ; or , it is a question proposed , which requires a solution . A lemma is something which is premised , or previously de- monstrated , with a design to facilitate the ...
... demonstration . A problem is something which is proposed to be done ; or , it is a question proposed , which requires a solution . A lemma is something which is premised , or previously de- monstrated , with a design to facilitate the ...
Side 22
... 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 and minute . Join the points A , B , and on ARB 22 ELEMENTS OF.
... 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 and minute . Join the points A , B , and on ARB 22 ELEMENTS OF.
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Vanlige uttrykk og setninger
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
Populære avsnitt
Side 36 - Any two sides of a triangle are together greater than the third side.
Side 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.
Side 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...
Side 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.
Side 20 - LET it be granted that a straight line may be drawn from any one point to any other point.
Side 38 - Problem. At a given point in a given straight line to make a rectilineal angle equal to a given rectilineal angle.
Side 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.
Side 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...
Side 36 - The greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it.