Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To which is Added, A Treatise of the Nature of Arithmetic of Logarithms; Likewise Another of the Elements of Plain and Spherical Trigonometry; with a Preface...Tho. Woodward at the Half-Moon, between the Two Temple-Gates in Fleet-street; and sold by, 1733 - 397 sider |
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Resultat 6-10 av 100
Side 10
... equal to two Sides of the other , each to each , and the Bafes equal , then the Angles contained under the equal Sides will be equal . ET the two Triangles be A B C , DEF , having two Sides A B , AC , equal to two Sides DE , DF , each ...
... equal to two Sides of the other , each to each , and the Bafes equal , then the Angles contained under the equal Sides will be equal . ET the two Triangles be A B C , DEF , having two Sides A B , AC , equal to two Sides DE , DF , each ...
Side 10
... equal Parts . ET BAC be a given Right - lin❜d Angle , which is required to be cut into two equal Parts . Affume any Point D in the Right Line A B , and 3 of this cut off AE from the Line A C equal to AD * ; join + 1 of this . DE , and ...
... equal Parts . ET BAC be a given Right - lin❜d Angle , which is required to be cut into two equal Parts . Affume any Point D in the Right Line A B , and 3 of this cut off AE from the Line A C equal to AD * ; join + 1 of this . DE , and ...
Side 12
... equal to HE , and HC is com- mon , GH and HC are each equal to EH and HC , and the Base CG is equal to the Base CE . Therefore 18 of this , the Angle CHG is equal to the Angle CHE ; and they are adjacent Angles . But when a Right Line ...
... equal to HE , and HC is com- mon , GH and HC are each equal to EH and HC , and the Base CG is equal to the Base CE . Therefore 18 of this , the Angle CHG is equal to the Angle CHE ; and they are adjacent Angles . But when a Right Line ...
Side 14
... equal . LET the two Right Lines AB , CD mutually cut each other in the Point E. I say , the Angle AEC is equal to the Angle DEB ; and the Angle CEB equal to the Angle Ă ED . * For because the Right Line A E , ftanding on the Right Line ...
... equal . LET the two Right Lines AB , CD mutually cut each other in the Point E. I say , the Angle AEC is equal to the Angle DEB ; and the Angle CEB equal to the Angle Ă ED . * For because the Right Line A E , ftanding on the Right Line ...
Side 21
... equal to three others given : But it is requi- fite , that any two of the Right Lines taken to- gether be greater ... equal to A , B , C : Let there be one Right Line DE termi- nated at D , but infinite towards E ; and take * DF * 3 of ...
... equal to three others given : But it is requi- fite , that any two of the Right Lines taken to- gether be greater ... equal to A , B , C : Let there be one Right Line DE termi- nated at D , but infinite towards E ; and take * DF * 3 of ...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. to ... John Keill Ingen forhåndsvisning tilgjengelig - 2014 |
Vanlige uttrykk og setninger
adjacent Angles alfo equal alſo Angle ABC Angle BAC Bafe Baſe becauſe bifected Center Circle ABCD Circumference Cofine Cone confequently Coroll Cylinder defcribed demonftrated Diameter Diſtance drawn thro EFGH equal Angles equiangular Equimultiples faid fame Altitude fame Multiple fame Plane fame Proportion fame Reaſon fecond fhall be equal fimilar fince firft firſt folid Parallelepipedon fome fore ftand fubtending given Right Line Gnomon greater join leffer lefs leſs likewife Logarithm Magnitudes Meaſure Number Parallelogram perpendicular Polygon Priſms Prop PROPOSITION Pyramid Pyramid ABCG Quadrant Ratio Rectangle Rectangle contained remaining Angle Right Angles Right Line AC Right-lined Figure Segment ſhall Sine Solid Sphere Subtangent themſelves THEOREM theſe thofe thoſe Triangle ABC Unity Vertex the Point Wherefore whofe Bafe whole whoſe Baſe
Populære avsnitt
Side 66 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Side 163 - IF two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals : the triangles shall be equiangular, and shall have those angles equal which are opposite to the homologous sides.
Side 112 - And in like manner it may be shown that each of the angles KHG, HGM, GML is equal to the angle HKL or KLM ; therefore the five angles GHK, HKL, KLM, LMG, MGH...
Side 90 - IN a circle, the angle in a semicircle is a right angle ; but the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Side 22 - ... sides equal to them of the other. Let ABC, DEF be two triangles which have the two sides AB, AC equal to the two sides DE, DF, each to each, viz. AB...
Side 10 - ... equal to them, of the other. Let ABC, DEF be two triangles which have the two sides AB, AC equal to the two sides DE, DF, each to each, viz. AB equal to DE, and AC to DF ; but the base CB greater than the base EF ; the angle BAC is likewise greater than the angle EDF.
Side 15 - CF, and the triangle AEB to the triangle CEF, and the remaining angles to the remaining angles, each to each, to which...
Side 33 - ... therefore their other sides are equal, each to each, and the third angle of the one to the third angle of the other, (i.
Side 113 - If two right-angled triangles have their hypotenuses equal, and one side of the one equal to one side of the other, the triangles are congruent.