Elements of Geometry Upon the Inductive Method: To which is Added an Introduction to Descriptive GeometryHilliard and Brown, 1829 - 172 sider |
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Side 19
... rectangle . If two adjacent sides of a parallelogram are equal ; as the sides opposite are equal to them , the sides will all be equal . In this case , if the angles are right - angles , the figure is called a square . If the sides of a ...
... rectangle . If two adjacent sides of a parallelogram are equal ; as the sides opposite are equal to them , the sides will all be equal . In this case , if the angles are right - angles , the figure is called a square . If the sides of a ...
Side 30
... rectangle , a parallelogram , or any other rectilinear figure , it might also be represented by plans upon different scales ; and these plans will be similar to each other , and similar to the field , when , in } C C cach , the angles ...
... rectangle , a parallelogram , or any other rectilinear figure , it might also be represented by plans upon different scales ; and these plans will be similar to each other , and similar to the field , when , in } C C cach , the angles ...
Side 47
... rectangle , may be inscribed in a circle ; but no other parallelogram . 136. In polygons , generally , of a greater number of sides , it would be more difficult to ascertain whether they could be inscribed . Suppose , however , we take ...
... rectangle , may be inscribed in a circle ; but no other parallelogram . 136. In polygons , generally , of a greater number of sides , it would be more difficult to ascertain whether they could be inscribed . Suppose , however , we take ...
Side 54
... rectangle is a parallelogram , it follows that - Every parallelogram is equivalent to a rectangle of an equal base and equal height . 153. We have seen that the diagonal of a parallelo- gram divides it into two equal triangles ( 60 ) ...
... rectangle is a parallelogram , it follows that - Every parallelogram is equivalent to a rectangle of an equal base and equal height . 153. We have seen that the diagonal of a parallelo- gram divides it into two equal triangles ( 60 ) ...
Side 55
... rectangle which exceeds the rectangle ABCD by an indefinitely small excess which we designate by m ' . According to what is proved in the preceding part of this article , we have ABCD + m ' AB + d ' AECF = AE We see , therefore , that ...
... rectangle which exceeds the rectangle ABCD by an indefinitely small excess which we designate by m ' . According to what is proved in the preceding part of this article , we have ABCD + m ' AB + d ' AECF = AE We see , therefore , that ...
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Elements of Geometry Upon the Inductive Method: To which is Added an ... James Hayward Uten tilgangsbegrensning - 1829 |
Elements of Geometry Upon the Inductive Method James Hayward Ingen forhåndsvisning tilgjengelig - 2019 |
Elements of Geometry Upon the Inductive Method James Hayward Ingen forhåndsvisning tilgjengelig - 2019 |
Vanlige uttrykk og setninger
ABCD allel axis base body called centre chord circ circumference circumscribed co-ordinate planes common conical surface construct contained cutting plane cylinder cylindrical surface Descriptive Geometry diagonals diameter diedral distance draw equivalent exterior angles faces figure four right-angles generatrix give given line ground line height homologous horizontal plane horizontal projection horizontal trace hypothenuse inclination inscribed polygon intersection isosceles triangle lines parallel lunary surface magnitude measure meet multiplied number of sides opposite parallel lines parallelogram parallelopiped perpen perpendicular perspective plane angles plane of projection polyedral angle polyedrons prism PROBLEM projecting planes proposed plane proposition pyramid radii ratio rectangle rectilinear regular polygons right-angled triangle right-line similar triangles sphere square straight line summit Suppose surface of revolution tangent tetraedron tion triangle ABC triangular triangular prism triedral angle truth vertex vertical plane vertical projection volume
Populære avsnitt
Side ii - Co. of the said district, have deposited in this office the title of a book, the right whereof they claim as proprietors, in the words following, to wit : " Tadeuskund, the Last King of the Lenape. An Historical Tale." In conformity to the Act of the Congress of the United States...
Side xvi - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Side ii - An act supplementary to an act, entitled, * An act for the encouragement of learning, by securing the copies of maps, charts, and books to the authors and proprietors of such copies, during the times therein mentioned,* and extending the benefits thereof to the arts of designing, engraving, and etching historical and other prints.
Side xvii - FGH, have a side and the two adjacent angles of the one equal to a side and the two adjacent angles of the other, each to each ; therefore these triangles are equal (Prop.
Side 51 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.
Side 47 - The square described upon the hypothenuse of a rightangled triangle is equivalent to the sum of the squares described upon the other two sides.
Side xi - The circumference of every circle is supposed to' be divided into 360 equal parts, called degrees ; each degree into 60 minutes, and each minute into 60 seconds. Degrees, minutes, and seconds are designated by the characters °, ', ". Thus 23° 14' 35" is read 23 degrees, 14 minutes, and 35 seconds.
Side 10 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.
Side ii - CLERK'S OFFIcE. BE it remembered, that on the eleventh day of November, AD 1830, in the fiftyfifth year of the Independence of the United States of America, Gray & Bowen, of the said district, have deposited in this office the title of a book, the right whereof...
Side 49 - Prove that in any triangle the square on the side opposite an acute angle is equivalent to the sum of the squares of the other two sides diminished by twice the product of one of these sides and the projection of the other upon that side.