Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)William Somerville Orr W.S. Orr and Company, 1854 |
Inni boken
Resultat 1-5 av 72
Side 44
... perpendicular to each other . Thus the two lines , AB , CD , are perpendicular to each other . A B An obtuse angle is that which is greater than a 44 EUCLID - DEFINITIONS .
... perpendicular to each other . Thus the two lines , AB , CD , are perpendicular to each other . A B An obtuse angle is that which is greater than a 44 EUCLID - DEFINITIONS .
Side 53
... perpendicular to AB ; t.from the given point C a perpendicular CH to the given line A B Which was to be done . has been drawn . PROPOSITION XIII . - THEOREM . The angles which one straight line ( A B ) makes with another ( DC ) upon one ...
... perpendicular to AB ; t.from the given point C a perpendicular CH to the given line A B Which was to be done . has been drawn . PROPOSITION XIII . - THEOREM . The angles which one straight line ( A B ) makes with another ( DC ) upon one ...
Side 91
... perpendicular and equal to A B ; bisect AC in E , and draw BE . Prolong CA to F , making EF = E B , * and from A B out off AH = AF : † AB shall be divided in H , so that ABBH A H2 . Complete the square BC , as also the square FH ; * and ...
... perpendicular and equal to A B ; bisect AC in E , and draw BE . Prolong CA to F , making EF = E B , * and from A B out off AH = AF : † AB shall be divided in H , so that ABBH A H2 . Complete the square BC , as also the square FH ; * and ...
Side 92
... perpendicular falls , and the line , without the triangle , between the perpendicular and the obtuse angle ; that is , A B2 = B C2 + CA2 + twice B C C D. - B C D BD2 + DA2 Because BD is divided into two parts in C , B D2 = B C2 * 4 II ...
... perpendicular falls , and the line , without the triangle , between the perpendicular and the obtuse angle ; that is , A B2 = B C2 + CA2 + twice B C C D. - B C D BD2 + DA2 Because BD is divided into two parts in C , B D2 = B C2 * 4 II ...
Side 96
... perpendicular falls is said to be farther from the centre . V. An are of a circle is any part of the circumference . VI . A segment of a circle is the figure contained by an arc of a circle and the straight line joining its extremities ...
... perpendicular falls is said to be farther from the centre . V. An are of a circle is any part of the circumference . VI . A segment of a circle is the figure contained by an arc of a circle and the straight line joining its extremities ...
Vanlige uttrykk og setninger
ABCD Algebra arithmetic base Binomial Theorem bisect calculation called centre chord circumference coefficient common Completing the square contained cotan decimals denominator describe diameter divided dividend divisor draw ellipse equal angles equation equiangular equilateral Euclid EXAMPLES FOR EXERCISE expression exterior angle factors figure formula fraction frustum geometrical progression geometry given straight line greater h₂ Hence inscribed intersecting join latter less logarithm magnitudes manner measure multiplied operation parallel parallelogram perpendicular plane polygon prism Prop proportion proved Q. E. D. PROPOSITION quantity quotient radius ratio rectangle remainder result right angles rule sides sines solid angle sphere square root subtract suppose theorem third triangle ABC trigonometrical
Populære avsnitt
Side 86 - If two triangles have two sides of the one equal to two sides of the...
Side 60 - If a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Side 58 - ... equal angles in each ; then shall the other sides be equal each to each : and also the third angle of the one to the third angle of the other.
Side 45 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Side 190 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Side 47 - Let it be granted that a straight line may be drawn from any one point to any other point.
Side 151 - Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional ; and parallelograms that have one angle of the one equal to one angle of the other, and their sides about the equal angles reciprocally proportional, are equal to one another.
Side 96 - angle in a segment' is the angle contained by two straight lines drawn from any point in the circumference of the segment, to the extremities of the straight line which is the base of the segment.
Side 46 - A rhombus, is that which has all its sides equal, but its angles are not right angles.
Side 66 - From this it is manifest how to a given straight line to apply a parallelogram, which shall have an angle equal to a given rectilineal angle, and shall be equal to a given rectilineal figure, viz.